Relevant bibliographies by topics / Lateral instability of beams

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Academic literature on the topic 'Lateral instability of beams'

Author: Grafiati
Published: 4 June 2021
Last updated: 14 February 2022

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Journal articles on the topic "Lateral instability of beams"

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KRAHL, P. A., M. C. V. LIMA, and M. K. EL DEBS. "Recommendations for verifying lateral stability of precast beams in transitory phases." Revista IBRACON de Estruturas e Materiais 8, no. 6 (December 2015): 763–74. http://dx.doi.org/10.1590/s1983-41952015000600003.

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Abstract This paper presents recommendations for security check of precast beams in transitory phases, compare results of parametric analyzes with national and international code recommendations and confront the formulations used for the calculation of critical load of lateral instability. In transport and lifting phases, precast beams are susceptible to loss lateral stability because the established supports provides little restriction to the element rotate on its principal axis and move laterally. To recommend limits of slenderness, parametric analysis are performed using formulations based on bifurcacional instability, including eigenvalue problems with the finite element method. The results show that the safety limits for I beams and rectangular beams are different. For the analyzed cases and with reference to beam slenderness equation used by fib Model Code [13], the limit determined for rectangular beams would be 85 and for I beams 53, which could be taken as 50, as recommended by the code. Within the analyzed cases of I beams, only the fib Model Code [13] recommendation attend the slenderness limit for transitory phases.
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Law, K. H., and L. Gardner. "Lateral instability of elliptical hollow section beams." Engineering Structures 37 (April 2012): 152–66. http://dx.doi.org/10.1016/j.engstruct.2011.12.008.

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Roberts, T. M., and M. Benchiha. "Lateral instability of monosymmetric beams with initial curvature." Thin-Walled Structures 5, no. 2 (January 1987): 111–23. http://dx.doi.org/10.1016/0263-8231(87)90003-6.

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Li, Yu Mei. "The Out-of-Plane Instability of a Bending Beam with Multiple Loads." Advanced Materials Research 211-212 (February 2011): 930–34. http://dx.doi.org/10.4028/www.scientific.net/amr.211-212.930.

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This paper presents the characteristic equation of out-of-plane instability when a bending beam, which is composed of two beams, is under lateral force and vertical force. It clarifies a method which can calculate the out-of-plane instability load of a structural component with main jib and counterbrace.
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Nakashima, Masayoshi, Iori Kanao, and Dawei Liu. "Lateral Instability and Lateral Bracing of Steel Beams Subjected to Cyclic Loading." Journal of Structural Engineering 128, no. 10 (October 2002): 1308–16. http://dx.doi.org/10.1061/(asce)0733-9445(2002)128:10(1308).

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CARDOSO, M. T. S. A., and M. C. V. LIMA. "Wind load effect on the lateral instability of precast beams on elastomeric bearing supports." Revista IBRACON de Estruturas e Materiais 13, no. 3 (June 2020): 593–602. http://dx.doi.org/10.1590/s1983-41952020000300009.

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Abstract The behavior of slender precast beams related to lateral stability in the transitional and in service phases is worrying. The presence of geometric imperfections aggravates and makes the problems of instability more susceptible. The main objective of this work is to evaluate the behavior of concrete beams on elastomeric bearings and to analyze the influence of variables such as: concrete strength, wind load and bearing compression stiffness. For the numerical nonlinear analysis the software ANSYS based on the Finite Element Method was used. The analyses show that the influence of the strength of the concrete is significant in the lateral stability of the beam. The wind load represents a considerable decrease in the contact (lift off) between the beam and the bearing. Finally, the combination of these factors can result in a critical stress situation in the beam, and it is not possible to have equilibrium, causing its toppling.
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Gaith, Mohamed, and Sinan Müftü. "Lateral Vibration of Two Axially Translating Beams Interconnected by a Winkler Foundation." Journal of Vibration and Acoustics 129, no. 3 (September 13, 2006): 380–85. http://dx.doi.org/10.1115/1.2732353.

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Transverse vibration of two axially moving beams connected by a Winkler elastic foundation is analyzed analytically. The two beams are tensioned, translating axially with a common constant velocity, simply supported at their ends, and of different materials and geometry. The natural frequencies and associated mode shapes are obtained. The natural frequencies of the system are composed of two infinite sets describing in-phase and out-of-phase vibrations. In case the beams are identical, these modes become synchronous and asynchronous, respectively. Divergence instability occurs at a critical velocity and a critical tension; and, divergence and flutter instabilities coexist at postcritical speeds, and divergence instability takes place precritical tensions. The effects of the mass, flexural rigidity, and axial tension ratios of the two beams are presented.
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PIASSI, A. D., J. V. DIAS, A. F. G. CALENZANI, and F. C. C. MENANDRO. "Lateral distortional buckling of cellular composite-beams." Revista IBRACON de Estruturas e Materiais 11, no. 2 (April 2018): 331–56. http://dx.doi.org/10.1590/s1983-41952018000200007.

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Abstract In the region of negative bending moments of continuous and semi-continuous steel and concrete composite beams, the inferior portion of the steel section is subjected to compression while the top flange is restricted by the slab, which may cause a global instability limit state know as lateral distortional buckling (LDB) characterized by a lateral displacement and rotation of the bottom flange with a distortion of the section’s web when it doesn’t have enough flexural rigidity. The ABNT NBR 8800:2008 provides an approximate procedure for the verification of this limit state, in which the resistant moment to LDB is obtained from the elastic critical moment in the negative moment region. One of the essential parameters for the evaluation of the critical moment is the composite beam’s rotational rigidity. This procedure is restricted only to to steel and concrete composite beams with sections that have plane webs. In this paper, an equation for the calculation of the rotational rigidity of cellular sections was developed in order to determine the LDB elastic critical moment. The formulation was verified by numerical analyses performed in ANSYS and its efficiency was confirmed. Finally, the procedure described in ABNT NBR 8800:2008 for the calculation of the critical LDB moment was expanded to composite beams with cellular sections in a numerical example with the appropriate modifications in geometric properties and rotational rigidity.
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Lee, Jong Han, and Ilker Kalkan. "Experimental and Analytical Investigation of Lateral-Torsional Buckling of RC Beams with Geometric Imperfections." Applied Mechanics and Materials 479-480 (December 2013): 1133–38. http://dx.doi.org/10.4028/www.scientific.net/amm.479-480.1133.

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The design of reinforced concrete beams has usually focused on the ultimate flexural capacity and disregarded the lateral stability of the beams. However, the development of high-strength concrete and the implementation of new construction techniques increase the use of longer and deeper concrete beams, which makes the lateral instability a primary concern of failure in concrete bridges. In particular, the lateral stability should be more taken into consideration in the construction and erection phases due to inadequate lateral supports. Thus, an experimental study was carried out to evaluate the lateral torsional buckling of reinforced concrete beams with initial geometric imperfections. The lateral flexural and torsional rigidity expressions, which could account for the flexural, torsional, and shrinkage cracking of concrete, the contribution of longitudinal and shear reinforcement, and the nonlinearity of materials, were proposed for rectangular reinforced concrete beams. Finally, this study proposed an analytical formula to estimate the buckling loads of initially imperfect reinforced concrete beams. The estimates of the study showed close agreement with the experimental values.
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Kucukler, Merih. "Lateral instability of steel beams in fire: Behaviour, numerical modelling and design." Journal of Constructional Steel Research 170 (July 2020): 106095. http://dx.doi.org/10.1016/j.jcsr.2020.106095.

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Dissertations / Theses on the topic "Lateral instability of beams"

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Lima, Maria Cristina Vidigal de. "Instabilidade lateral das vigas pré-moldadas em regime de serviço e durante a fase transitória." Universidade de São Paulo, 1995. http://www.teses.usp.br/teses/disponiveis/18/18134/tde-25042018-115223/.

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Este trabalho aborda o estudo da instabilidade lateral das vigas pré-moldadas durante o regime de serviço e durante a fase transitória. Na fase de serviço inclui os casos de apoios indeformáveis e deformáveis à torção. Para a fase transitória, o cálculo da carga crítica é desenvolvido para as diversas disposições dos cabos de içamento. O estudo do equilíbrio no espaço é realizado a partir da resolução das equações diferenciais regentes da instabilidade elástica. A resolução do sistema diferencial composto pelas equações acopladas da flexão lateral e da torção é realizada por vários métodos, incluindo o desenvolvimento e automatização do método numérico de Runge-Kutta, para algumas seções típicas. Apresentam-se ainda os procedimentos empíricos encontrados na literatura técnica, baseados em ensaios experimentais, para o cálculo dos fatores de segurança. Os resultados dos exemplos numéricos mostram que as situações de serviço não são, em geral críticas, ao contrário da fase transitória. Os exemplos mostram ainda que a suspensão com balanços é uma forma de diminuir os problemas de instabilidade lateral desta fase.
This work deals with the lateral stability of precast beams on service and during intermediate phase - handling and transportation. At service phase it is considered rigid and semi-rigid connections with torsion deformation. At handling phase, the critical load is evaluated for several positions of lifting cables. The study of the equilibrium conditions is done with the solution of the differential equation of elastic instability problem. The solution of flexural and torsional coupled equation is gotten by use of some methods, including the one developed and authomatized from the application of Runge-Kutta method, for certain sections. Empirical procedures are presented based on experimental tests, found in technical papers to compute fators of safety. The results of numerical examples show that the service situations are not generally critical, unlike the intermediate situations. The results show also that a possible way to avoid this problem is with the use of lifting points with a distance from the ends.
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Krahl, Pablo Augusto. "Lateral stability of ultra-high performance fiber-reinforced concrete beams with emphasis in transitory phases." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/18/18134/tde-27082018-125631/.

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The development of advanced fiber reinforced cement-based materials to provide higher strength, ductility, and durability, as ultra-high performance fiber-reinforced concrete (UHPFRC), enables the design of precast beams with thin sections and reduced self-weight to meet the required flexural performance. However, such slender elements when subjected to transitory phases, and possibly also in permanent stages, are prone to instability failure. So, the present study aims to provide experimental data and analytical solution for UHPFRC beams during the lifting phase, and studies about the other stages. This type of test is rare and was not reported for UHPFRC beams. For testing, the beams were lifted by inclined cables and subjected to a transversal load applied at midspan to induce lateral instability. The displacements of the beams were monitored with total station equipment. Also, a new analytical solution was proposed to predict the failure load of lifted beams and closed-form analytical solutions to predict the rollover load of beams supported by bearing pads and subjected to different loading conditions. Furthermore, there are limited data that characterizes the constitutive behavior of this material. In this context, the present research also focused on providing such laboratory results for UHPFRC with different fiber contents. Besides, analytical models for damage evolution and stress-strain relationship are proposed and applied in numerical simulations. From the results, the UHPFRC beams failed by instability with a load capacity 3.7 times smaller than the flexural load capacity. Furthermore, the analytical solution for lifting predicted the peak load of the experiment with great accuracy. Also, the proposed equations for beams on bearing pads accurately predicted the experimental results available in the literature. The analytical and experimental rollover loads differed by 4.37% and 13.6% for the two studied cases. From material, the stiffness degradation occurred rapidly in UHPFRC under tensile loading while occurred gradually in compression. Also, fiber content influenced toughness and degradation evolution significantly over the loading cycles. Proposed equations were utilized in the Plastic-Damage model of Abaqus that predicted accurately damage growth and cyclic envelopes during all the phases of the tension, compression, and bending tests. The calibrated numerical model also predicted the experimental results with the UHPFRC beams.
O desenvolvimento de materiais avançados à base de cimento reforçado com fibra para fornecer maior resistência, ductilidade e durabilidade, como o concreto de ultra-alto desempenho reforçado com fibras (UHPFRC), permite o projeto de vigas pré-moldadas com seções esbeltas e peso próprio reduzido que atendem desempenho estrutural requerido. No entanto, esses elementos delgados quando submetidos a fases transitórias e também em serviço são propensos a falhar por instabilidade. Então, o presente estudo tem por objetivo apresentar resultados experimentais e soluções analíticas para vigas de UHPFRC durante a fase de içamento e estudos sobre as outras fases. Este tipo de teste é raro e não foi reportado para vigas de UHPFRC. Para o teste, as vigas foram levantadas por cabos inclinados e submetidas a uma carga concentrada transversal aplicada no meio do vão para induzir a instabilidade lateral. Os deslocamentos das vigas foram monitorados com estação total. Além disso, uma nova solução analítica foi proposta para prever a carga de instabilidade das vigas içadas e soluções analíticas para prever a carga de tombamento de vigas suportadas por aparelho de apoio e submetidas a diferentes condições de carregamento. Além disso, existem poucos resultados experimentais que caracterizam o comportamento constitutivo deste material. Neste contexto, a presente pesquisa também se concentrou em fornecer tais resultados experimentais para UHPFRC com diferentes teores de fibras. Além disso, modelos analíticos para evolução de dano e relação tensão-deformação são propostos e aplicados em simulações numéricas. A partir dos resultados, as vigas em içamento falharam por instabilidade com uma capacidade de carga 3,7 vezes menor que a capacidade à flexão. Além disso, a solução analítica para içamento previu carga máxima do experimento com grande precisão. As equações propostas para vigas sobre aparelhos de apoio previram com precisão os resultados experimentais disponíveis na literatura. As cargas de tombamento analíticas e experimental diferiram em 4,37% e 13,6% para os dois casos estudados. Dos resultados do material, a degradação da rigidez ocorreu de maneira rápida no UHPFRC submetido à tração enquanto ocorreu gradualmente na compressão. O teor de fibras influenciou significativamente a tenacidade e a degradação nos ciclos de carregamento. As equações propostas foram utilizadas em um modelo de Dano acoplado à plasticidade que previu com precisão a evolução do dano e as envoltórias cíclicas durante todas as fases dos testes de tração, compressão e flexão. O modelo numérico calibrado também previu os resultados experimentais das vigas de UHPFRC.
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Ozdemir, Kerem Murat. "Lateral Buckling Of Overhanging Beams." Master's thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/12606488/index.pdf.

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Lateral torsional buckling should be taken into account during the design of overhanging steel beams. One special type of overhanging beams is the crane trolley monorails. Lateral buckling of overhanging monorails under idealized loading and boundary conditions has been studied in the past using classical mathematical procedures. This thesis aims to present a detailed investigation of overhanging monorails using finite element analysis. Effects of different loading and boundary conditions were studied in detail. It was found out that the location of loading and supports on the cross section have significant effects on the buckling capacity. Beams having different warping and torsional properties were analyzed. The effects of cross section distortion on buckling capacity were investigated for beams with single and double overhangs. The reduction in capacity due to cross section distortion has been quantified. Based on the analysis results simple design recommendations were developed for lateral buckling of overhanging monorails and they are presented herein.
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Xiao, Qiuwu. "Lateral Torsional Buckling of Wood Beams." Thèse, Université d'Ottawa / University of Ottawa, 2014. http://hdl.handle.net/10393/31174.

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Structural wood design standards recognize lateral torsional buckling as an important failure mode, which tends to govern the capacity of long span laterally unsupported beams. A survey of the literature indicates that only a few experimental programs have been conducted on the lateral torsional buckling of wooden beams. Within this context, the present study reports an experimental and computational study on the elastic lateral torsional buckling resistance of wooden beams. The experimental program consists of conducting material tests to determine the longitudinal modulus of elasticity and rigidity modulus followed by a series of 18 full-scale tests. The buckling loads and mode shapes are documented. The numerical component of the study captures the orthotropic constitutive properties of wood and involves a sensitivity analysis on various orthotropic material constants, models for simulating the full-scale tests conducted, a comparison with experimental results, and a parametric study to expand the experimental database. Based on the comparison between the experimental program, classical solution and FEA models, it can be concluded that the classical solution is able to predict the critical moment of wood beams. By performing the parametric analysis using the FEA models, it was observed that loads applied on the top and bottom face of a beam decrease and increase its critical moment,respectively. The critical moment is not greatly influenced by moving the supports from mid-span to the bottom of the end cross-section.
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Chen, Shiming. "Instability of composite beams in hogging bending." Thesis, University of Warwick, 1992. http://wrap.warwick.ac.uk/4009/.

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This work is concerned with local buckling and lateral distortional buckling, two aspects of instability that govern the design of composite beams in hogging regions. Local buckling in hogging regions of a continuous composite beam was modelled by moment curvature characteristics of a cantilever, modified by two curvature ratios, K1 and K2. Test based expressions for K1 and K2, in terms of a combined slenderness λc, were developed, and subsequently used in numerical analyses of 50 two-span composite beams to assess moment redistribution allowed for Class 2 beams by draft Eurocode 4. The analyses include effects of non-linear material properties, residual stresses and local buckling. The parametrical studies include adverse values, in relation to practice, of relative length of adjacent spans, span-to-depth ratio, and ratio of hogging to sagging moment of resistances. It is concluded that the redistribution of elastic bending moments allowed by the draft Eurocode 4 is safe and economical. Distortional lateral buckling of composite beams with both continuous and discrete U-frame actions was studied experimentally. Distortional lateral buckling was found in the tests of two composite beams with inverted U-frame actions. Web distortion was effectively reduced by vertical web stiffeners, which form a part of discrete U-frames together with the slab and the connection of U-frame. The work provides background to assess lateral buckling strength for composite beams with both continuous and discrete U-frame actions. A further theoretical approach on the topic of discrete inverted U-frame action was presented. Strength and stiffness of discrete U-frame connections were also studied. The strength of a discrete U-frame connection was found to be influenced by both the shear failure of concrete, and the yielding of steel top flange in the connection. A simple rule to assure strength of U-frame connections is proposed by checking these two failures separately. The prediction of shear failure of a U-frame connection is based on a truss model, and the prediction of failure in the steel top flange is based on a rigid plastic mechanism. A semi-empirical formula for flexibility of a U-frame connection was derived. They were all checked against test results. Interactive U-frame force and U-frame stiffness were also studied. A tentative design method for discrete U-frame composite beams was proposed.
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Hu, Ye. "Lateral Torsional Buckling of Wooden Beams with Mid-Span Lateral Bracing." Thesis, Université d'Ottawa / University of Ottawa, 2016. http://hdl.handle.net/10393/35076.

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An analytical and numerical investigation is conducted for the lateral torsional buckling analysis of wooden beam with a mid-span lateral brace subjected to symmetrically distributed loading. Two models are developed; one for the case of a rigid brace and another one for the case of a flexible brace. The analytical solutions are based on the principle of stationary potential energy and a Fourier expansion of the buckling displacement fields and bending moments. The validity of both models are verified against 3D finite element analyses in ABAQUS. Where applicable, verifications were also conducted against available solutions from previous studies. Parametric studies were conducted to investigate the effect of geometric and material parameters on the critical moments. The results indicate the presence of two separate groups of potential buckling modes, symmetric and anti-symmetric, with fundamentally different behavioural characteristics. The governing buckling mode is shown to depend on the bracing height, load height and lateral brace stiffness. The study shows that beyond a certain threshold bracing height, the critical moment is governed by the antisymmetric mode of buckling. Also, above a certain optimum bracing stiffness, no increase is observed in the critical moments. The models developed are used to construct a comprehensive database of parametric investigations which are then employed for developing simplified equations for determining the threshold heights, associated critical moments, and optimum stiffness.
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McCann, Finian. "Stability of beams with discrete lateral restraints." Thesis, Imperial College London, 2012. http://hdl.handle.net/10044/1/9619.

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The current work analyses the lateral stability of imperfect discretely-braced steel beams using variational methods. To facilitate the analysis, Rayleigh-Ritz approximations are used to model the lateral deflection and the angle of twist. The applicability of the methods is initially demonstrated for the cases of unrestrained and continuously restrained beams by comparison with both analytical and numerical solutions of the governing differential equations of the respective systems. The method is then applied in full to the case of a discretely-braced beam. Initially, it is assumed that the degrees of freedom (DOFs) can be represented by single harmonics; this is then compared to the more accurate representation of the DOFs as full Fourier series. After carrying out a linear eigenvalue analysis of the system, it is found that the beam can buckle into two separate classes of modes: a finite number of modes, equal to the number of restraints provided, which involve displacement of the restraint nodes and interaction between distinct sets of harmonics, and an infinite number of single harmonic internodal buckling modes where the nodes remain undeflected. Expressions are derived for the elastic critical moment of the beam, the forces induced in the restraints and the threshold stiffness, i.e. the minimum stiffness required to enforce the first internodal buckling mode, whereupon the beam attains its maximum achievable critical moment. The analytical results for the critical moment of the beam are validated by the finite element program LTBeam, while the results for the deflected shape of the beam are validated by the numerical continuation software Auto-07p, with very close agreement between the analytical and numerical results. Design formulae, from which practical design rules can be developed, are given for the critical moment, restraint force and threshold stiffness. The design rules return values close to those predicted from theory. When compared against equivalent design rules developed based on analogies with column behaviour, it is found that the column rules are generally overly conservative for restraints attached close to the compression ange and considerably unsafe for restraints attached close to the shear centre.
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Karimi, Hussain H. (Hussain Habibullah). "Parametric subharmonic instability of internal gravity wave beams." Thesis, Massachusetts Institute of Technology, 2015. http://hdl.handle.net/1721.1/100060.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mechanical Engineering, 2015.
This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.
Cataloged from student-submitted PDF version of thesis.
Includes bibliographical references (pages 113-117).
Internal gravity wave beams are time-harmonic plane waves with general spatial pro- le that arise in continuously stratified fluids owing to the anisotropy of this wave motion. In the last decade, these wave disturbances have been at the forefront of research, both from a fundamental perspective and in connection with various geophysical ow processes. Oceanic internal wave beams, in particular, form the backbone of the internal tide, generated by the interaction of the barotropic tide with sea-floor topography. The internal tide breakdown and its role in deep-ocean mixing have attracted considerable attention. In this context, it is of interest to understand mechanisms by which internal wave beams become unstable and eventually breakdown, thereby contributing to mixing. A possible instability mechanism is via resonant triad interactions that amplify short-scale perturbations with frequency equal to one half of that of the underlying wave. For spatially and temporally monochromatic internal waves, this so-called parametric subharmonic instability (PSI) has been studied extensively and indeed can lead to breakdown. By contrast, the focus here is on understanding how wave beams with locally conned spatial prole, such as those in the field, may differ, in regard to PSI, from monochromatic plane waves. To this end, an asymptotic analysis is made of the interaction of a small-amplitude wave beam with short-scale subharmonic wavepackets in a nearly inviscid stratified Boussinesq uid. A novel system of coupled evolution equations that govern this nonlinear interaction is derived and analyzed. For beams with general localized prole, unlike monochromatic wavetrains, it is found that triad interactions are not strong enough to bring about instability in the limited time that subharmonic perturbations overlap with the beam. On the other hand, for quasi-monochromatic wave beams whose prole comprises a sinusoidal carrier modulated by a locally conned envelope, PSI is possible if the beam is wide enough. In this instance, a stability criterion is proposed which, under given ow conditions, provides the minimum number of carrier wavelengths a beam of small amplitude must comprise for instability to arise. Furthermore, the eect of the Earth's rotation on PSI of internal wave beams is investigated. Even though rotation induces transverse motion, plane waves in the form of beams are still possible. Most importantly, however, in the presence of rotation, short-scale subharmonic wavepackets may experience prolonged interaction with a beam of general localized prole, potentially causing instability. This situation arises when the subharmonic frequency nearly matches the background Coriolis frequency so the group velocity of subharmonic wavepackets is close to zero. In particular, wave beams generated by the M₂ tidal ow over topography encounter this resonance near the critical latitude of 28.8° (N and S). Coupled evolution equations for subharmonic wavepackets riding on a beam of general prole under such resonance conditions are derived. Based on this asymptotic model, it is shown that locally conned beams above a certain threshold amplitude are unstable to near-inertial subharmonic disturbances. The theoretical predictions are supported by recent field observations which show that signicant energy transfer to subharmonic disturbances does indeed occur near the critical latitude and not elsewhere.
by Hussain H. Karimi.
Ph. D.
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Liu, Sheng 1970. "Lateral bracing requirements for cantilever steel I-beams." Thesis, McGill University, 2003. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=80126.

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In the design of hot rolled steel structures, stability is one of the most important considerations. In terms of flexural members, e.g., a steel I-section beam, bent about the major principal axis, lateral buckling about the minor principal axis in combination with torsional buckling is the main stability concern. To prevent lateral-torsional buckling from occurring, lateral braces are typically installed perpendicular to the longitudinal axis of the flexural member, either on the top and/or bottom flange or near the shear-centre of the beam. Nethercot developed an equation to predict the critical elastic lateral-torsional moment resistance of cantilever beams, which involves a series of effective length factors, which are dependent on the brace configuration, type and position of loading, as well as cantilever system. This effective length factor approach has become widely used as a simplified method to calculate the elastic lateral-torsional buckling moment resistance of cantilever steel beams. However, no specific guidelines for the design of the lateral braces are available in design standards.
This thesis will include background information on elastic beam buckling theories, an introduction to the development of research on lateral brace requirements, and a discussion on the currently used lateral bracing requirements in North American and British Standards. Details of a study concerning the lateral bracing design requirements for cantilever I-beams, carried out with the use of the finite element software Buckling Analysis of Stiffened Plates (BASP), are provided. Concerning the required brace stiffness, the results from the numerical parametric study are compared with the results from the Canadian Steel Design Standard CSA-S 16 and the SSRC (Structural Stability Research Council) method of the United States.
It is shown that the current code methods are generally conservative for top flange loaded cantilever beam cases in terms of the predicted elastic lateral-torsional buckling capacity. Furthermore, the current bracing design requirements provide adequate results in most cases, except for the prop cantilever scenario without a tip brace.
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Kalkan, Ilker. "Lateral torsional buckling of rectangular reinforced concrete beams." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/31788.

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Thesis (Ph.D)--Civil and Environmental Engineering, Georgia Institute of Technology, 2010.
Committee Chair: Zureick Abdul-Hamid; Committee Member: Ellingwood, Bruce R.; Committee Member: Kahn, Lawrence F.; Committee Member: Kardomateas, George A.; Committee Member: Will, Kenneth M. Part of the SMARTech Electronic Thesis and Dissertation Collection.
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Books on the topic "Lateral instability of beams"

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Pereira, Hélder, Stéphane Guillo, Mark Glazebrook, Masato Takao, James Calder, Niek Van Dijk, and Jón Karlsson, eds. Lateral Ankle Instability. Berlin, Heidelberg: Springer Berlin Heidelberg, 2021. http://dx.doi.org/10.1007/978-3-662-62763-1.

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Kissane, Robert J. Lateral restraint of non-composite beams. Albany, NY: New York State Dept. of Transportation, Engineering Research and Development Bureau, 1985.

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Lovell, Mark Harold. Lateral buckling of light gauge steel beams. Salford: University of Salford, 1985.

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Shiming, Chen. Instability of composite beams in hogging bending. [s.l.]: typescript, 1992.

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Kitipornchai, S. Lateral buckling of tee beams under moment gradient. St. Lucia: Universityof Queensland, Dept. of Civil Engineering, 1985.

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Weeks, Nicholas John. Lateral instability of slender reinforced concrete columns in a fire environment. Birmingham: Universityof Aston. Department of Civil Engineering and Construction, 1985.

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Hui, David. Imperfection-sensitivity of elastically supported beams and its relation to the double-cusp instability model. [S.l.]: [s.n.], 1986.

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Dickel, Timm. Ideale Biegedrillknickmomente: Kurventafeln für Durchlaufträger mit doppelt-symmetrischem I-Querschnitt = Lateral-torsional buckling coefficients : diagrams for continuous beams with doubly symmetric I-sections. Braunschweig: Vieweg, 1991.

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Lawson, R. M., and D. A. Nethercot. Lateral Stability of Steel Beams and Columns. Steel Construction Institute,The, 1992.

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Blockley, David. 5. Movers and shakers. Oxford University Press, 2014. http://dx.doi.org/10.1093/actrade/9780199671939.003.0005.

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What do a jumbo jet, a cruise ship, a long span bridge, and a tall skyscraper have in common? They are, in essence, gigantic tubes or boxes that act as beams. ‘Movers and shakers’ examines the commonalities and differences between these four types of large, impressive, moving structures to reveal much about their main functions, the forces they must resist, and the ways in which they have to be strong. It shows that structures can be in dynamic equilibrium, i.e. connected structural parts moving as one whole structure. But two extra internal forces—inertia and damping—must be considered. There are also several complex forms of instability including buckling, resonance and flutter.
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Book chapters on the topic "Lateral instability of beams"

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Lintz, Francois. "Relationship Between Chronic Lateral Ankle Instability and Hindfoot Varus Using Weight Bearing Cone Beam Computed Tomography: A Retrospective Study." In Weight Bearing Cone Beam Computed Tomography (WBCT) in the Foot and Ankle, 87–96. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-31949-6_8.

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Hintermann, Beat, and Roxa Ruiz. "Lateral Ankle Instability." In Foot and Ankle Instability, 3–61. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-62926-7_2.

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Park, Kwang Hwan, Gwen Vuurberg, Hélder Pereira, Mike Carmont, and Jin Woo Lee. "Open Surgical Treatment: Nonanatomic Reconstruction." In Lateral Ankle Instability, 173–77. Berlin, Heidelberg: Springer Berlin Heidelberg, 2021. http://dx.doi.org/10.1007/978-3-662-62763-1_18.

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Côrte-Real, Nuno, Caio Nery, Fernando C. Raduan, and Francisco Guerra-Pinto. "Arthroscopic-Assisted Repair of Chronic Lateral Ankle Instability." In Lateral Ankle Instability, 207–15. Berlin, Heidelberg: Springer Berlin Heidelberg, 2021. http://dx.doi.org/10.1007/978-3-662-62763-1_23.

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Michels, Frederick, Hélder Pereira, and Giovanni Matricali. "Consensus and Algorithm in the Approach to Patients with Chronic Lateral Ankle Instability." In Lateral Ankle Instability, 385–92. Berlin, Heidelberg: Springer Berlin Heidelberg, 2021. http://dx.doi.org/10.1007/978-3-662-62763-1_42.

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Terrier, Romain, Yves Tourné, Brice Picot, and Nicolas Forestier. "Rehabilitation Options for Chronic Ankle Instability: What Is New?" In Lateral Ankle Instability, 299–312. Berlin, Heidelberg: Springer Berlin Heidelberg, 2021. http://dx.doi.org/10.1007/978-3-662-62763-1_35.

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Matsui, Kentaro, Haruki Odagiri, and Mark Glazebrook. "Level of Evidence for Mini-Invasive Treatment of Chronic Ankle Instability." In Lateral Ankle Instability, 195–201. Berlin, Heidelberg: Springer Berlin Heidelberg, 2021. http://dx.doi.org/10.1007/978-3-662-62763-1_21.

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Michels, Frederick, Satoru Ozeki, Siu Wah Kong, and Giovanni Matricali. "Assessment of Subtalar Instability." In Lateral Ankle Instability, 63–77. Berlin, Heidelberg: Springer Berlin Heidelberg, 2021. http://dx.doi.org/10.1007/978-3-662-62763-1_7.

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Michels, Frederick, Kentaro Matsui, and Filip Stockmans. "Anatomical Reflections When Considering Tunnel Placement for Ankle Ligament Reconstruction." In Lateral Ankle Instability, 245–51. Berlin, Heidelberg: Springer Berlin Heidelberg, 2021. http://dx.doi.org/10.1007/978-3-662-62763-1_28.

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Lee, Justin C., Adam W. M. Mitchell, and Lionel Pesquer. "Lateral Ankle Instability Imaging." In Lateral Ankle Instability, 45–53. Berlin, Heidelberg: Springer Berlin Heidelberg, 2021. http://dx.doi.org/10.1007/978-3-662-62763-1_5.

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Conference papers on the topic "Lateral instability of beams"

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Dufour, Régis, Alain Berlioz, and Thomas Streule. "Influence of Axial Excitations and of Boundary Conditions on the Parametric Instability of a Beam." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0241.

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Abstract In this paper the stability of the lateral dynamic behavior of a pinned-pinned, clamped-pinned and clamped-clamped beam under axial periodic force or torque is studied. The time-varying parameter equations are derived using the Rayleigh-Ritz method. The stability analysis of the solution is based on Floquet’s theory and investigated in detail. The Rayleigh-Ritz results are compared to those of a finite element modal reduction. It shows that the lateral instabilities of the beam depend on the forcing frequency, the type of excitation and the boundary conditions. Several experimental tests enable the validation of the numerical results.
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Kavitha, Perumalsamy, and Ranganathan Sundaravadivelu. "Soil Structure Interaction Analysis of a Berthing Structure Under Lateral Loading-By Numerical Approach." In ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/omae2017-62484.

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In coastal and offshore structures, the predominant forces leading to lateral movements are mainly due to waves, currents, winds, berthing forces, mooring forces and lateral earth pressure due to unstable slope as a result of dredging or siltation etc. Due to relative movement between the piles and the soil, the load transfer to pile is a complex soil interaction problem. It is a two way problem and should be solved by structure-soil model with appropriate load displacement characteristics of both the structure and the soil. Pile-soil interaction analysis is carried out by numerical methods based on iterative techniques of equilibrium of forces and moments, based on relative stiffness of pile-soil system. Conventionally API guidelines and Vesic equation are used to analyze the laterally loaded piles. The study of laterally loaded pile in active soil wedge requires a proper assessment of soil structure interaction phenomenon involving the interaction between pile surface and the surrounding soil. The instability of soil wedge can occur due to self-weight, surcharge load, dredging, siltation and earthquake force. The soil structure interaction problem of piles located in active soil wedge has rarely been approached. Laterally loaded piles are analyzed by methods derived from the classical beam on elastic foundation mode in which the soil support is approximated by a series of independent elastic spring. The soil spring constants estimated from API guidelines and Vesic equations are not suitable for piles located in active soil wedge. Hence in this paper, a numerical study is carried out for a berthing structure in dense sand using PLAXIS 3D and STAAD Pro, in order to study the behaviour of piles in active soil wedge.
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Wiseman, Phillip, Alex Mayes, and Shreeya Karnik. "Case Study of the Effect of Combined Axial and Lateral Loadings on the Critical Buckling Capacity of Piping Supports." In ASME 2020 Pressure Vessels & Piping Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/pvp2020-21517.

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Abstract Snubbers are used in industry to restrain piping in dynamic events which can see significant axial loading as well as lateral acceleration. Snubbers are often employed with an extension when required to bridge gaps between the piping and building structure. As a result, they are susceptible to buckling instability issues. The pipe support and restraint design by analysis buckling criteria for supports given within the American Society of Mechanical Engineers (ASME) Boiler and Pressure Vessel Code, Section III, Division 1, Subsection NF is investigated to determine the behavior of snubber assemblies under combined axial and lateral loadings. Four types of analyses are performed on the assemblies under the action of axial loading to demonstrate finite element and closed form solutions. These include the following: linear Eigen buckling, nonlinear second order large deformation method, energy method and Euler Bernoulli beam theory. In addition, a variety of snubber assembly sizes are subjected to combined axial and lateral loading in the form of multiple magnitudes of lateral acceleration. The behavior was analyzed by the Euler Bernoulli beam theory and nonlinear second order large deformation method. The techniques of each method are compared providing explanations of the assumptions taken, relevant limitations and recommended applications.
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Pennacchi, Paolo, Andrea Vania, Steven Chatterton, and Ezio Tanzi. "Detection of Unsteady Flow in a Kaplan Hydraulic Turbine Using Machine Mechanical Model and Rotor Measured Vibrations." In ASME Turbo Expo 2012: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/gt2012-69995.

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Hydraulic stability is one of the key problems during the design stage of hydraulic turbines. Despite of modern computational tools that help to define dangerous operating conditions and optimize runner design, hydraulic instabilities may fortuitously arise during the turbine life, as a consequence of variable and different operating conditions at which a hydraulic turbine can be subject. In general, the presence of unsteady flow reveals itself in two different ways: at small flow rate, the swirling flow in the draft tube conical inlet occupies a large portion of the inlet and causes a strong helical vortex rope; at large flow rate conditions the unsteady flow starts midway and causes a breakdownlike vortex bubble, followed by weak helical waves. In any case, hydraulic instability causes mechanical effects on the runner, on the whole turbine and on the draft tube, which may eventually produce severe damages on the turbine unit and whose most evident symptoms are vibrations. This notwithstanding, condition monitoring systems seldom are installed on this purpose in hydraulic power plants and no examples are reported in literature about the use of model-based methods to detect hydraulic instability onset. In this paper, by taking the advantage of a testing campaign performed during the commissioning of a 23 MW Kaplan hydraulic turbine unit, a rotordynamic model-based method is proposed. The turbine was equipped by proximity and vibration velocity probes, that allowed measuring lateral and axial vibrations of the shaft-line, under many different operating conditions, including also some off-design ones. The turbine mechanical model, realized by means of finite beam elements and considering lateral and axial degrees of freedom, is used to predict turbine unit response to the unsteady flow. Mechanical system response is then compared to the measured one and the possibility to detect instability onset, especially in real-time, is discussed.
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Shahidi, Parham, Brad Hopkins, Dan Maraini, and Andrew Seidel. "Lateral Instability Detection." In 2014 Joint Rail Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/jrc2014-3718.

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Lateral instability of rail vehicles, more colloquially known as “hunting” is a dynamic instability mode of high importance. In extreme cases hunting can lead to derailments, but more frequently it is the cause of a number of less catastrophic yet costly damages to track, truck, and lading. It is known in the railroad industry that wheel conicity inherently affects the stability of the rail car on the track. Additional factors include reduced warp restraint of the truck system, low truck/car body rotational resistance due to degraded side bearings, and hollow worn wheels. Nonetheless, reconditioning of these components does not always lead to the desired result of reduced lateral accelerations. Furthermore, with trains often consisting of up to 200 cars, worn truck systems may go undetected for long periods of time until either a Truck Hunting Detector (THD) or visual inspection reveals the issue. Accurate detection of hunting and estimation of hunting severity remain challenging tasks. The network of truck hunting detectors is sparse, provides limited insight, and is expensive to expand and maintain. Furthermore, the nature of the detection method does not provide the user with information about the cause of the failure. This increases the probability of reoccurrence of lateral instability in reconditioned truck systems. In this paper, the root causes, dynamic behavior, and existing measurement techniques are evaluated. Additionally, a novel method to detect dynamic instability is presented. This method has been developed to provide a new way to examine dynamic instability in a more direct and detailed manner. A preliminary study to evaluate the proposed method has been completed and the results are presented in this paper. To evaluate the benefit of the proposed method, the test data is measured against AAR limits.
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Cai, Zhicheng, and Xiang Yuan Zheng. "Whirling Motion of Monopile Offshore Wind Turbines Subjected to Harmonic and Random Base Excitation." In ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/omae2017-62718.

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In April 2014 a series of 30:1 scaled shake table test of the NREL-5MW monopile offshore wind turbine were conducted. Significant whirling motions were observed during the test [1], which were seldom reported for civil engineering and offshore engineering structures. This study is thereby devoted to revealing the mechanism of the whirling motion of a typical tall monoplie offshore wind turbine. The original shake table model is simplified into a uniform cantilever beam with a large lumped mass on the top. Two nonlinear coupled integro-differential equations of motion containing cubic nonlinearities due to curvature and inertia are used and solved by both analytical and numerical approaches. The ElCentroExp random base excitation and lateral harmonic base excitations with different amplitudes and frequencies are considered in the analysis to fathom the instability mechanism. The analysis results show that, for harmonic base excitations with frequency within a specific range, when the amplitude of base excitation and the initial perturbation exceed a certain threshold, stable whirling motion response will be triggered and the motion of shake table model will be controlled by whirling. However, the analysis results also demonstrate that, subjected to the ElCentroExp base excitation or its equivalent lateral harmonic base excitations, neither analytical nor numerical approach can produce whirling motion response, regardless of the damping ratio. The LM model will always show planar motion response. This differs significantly from the observation of shake table model test.
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Bocian, Mateusz, Jeremy Burn, and John Macdonald. "PEDESTRIAN LATERAL FOOT PLACEMENT AND LATERAL DYNAMIC INSTABILITY OF BRIDGES." In XI International Conference on Structural Dynamics. Athens: EASD, 2020. http://dx.doi.org/10.47964/1120.9148.19337.

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Kaplan, Jason A., Roger L. Fittro, Alexandrina Untaroiu, and Houston G. Wood. "Non-Linear Time-Transient Rotor Dynamic Analyses of Geared Systems." In ASME Turbo Expo 2015: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/gt2015-43481.

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The ability to accurately predict the response of rotating machinery to external forces and to assess system-level stability for different modes is crucial from a reliability and preventive maintenance perspective. Geared systems, in particular, contain many complexities, which may lead to instability and even chaotic vibration behavior. No methods for determining the effects of the dynamic meshing forces on the vibrations of complete shaft/bearing systems have been proposed in the literature. Several time-transient and steady-state models for analyzing gear forces and deflections have been proposed, but they focus primarily on the dynamics of the gearbox itself and neglect vibration transmission through the remainder of the drive-train. Models that do incorporate other components of the drive-train propose simplified lumped-parameter models for the shafts and bearings. Recent models have used the finite element method to couple the lateral, torsional, and axial degrees-of-freedom of geared shaft systems to the forces and moments exchanged between the gears via stiffness matrices. Other models in literature capture the backlash non-linearity and the state-varying mesh stiffness and observe the time-transient response of the gearbox and simplified shaft/bearing structure. A finite element formulation of complete geared systems, which couples the axial, lateral, and torsional degrees-of-freedom, is developed in which the shaft is modeled with Timoshenko beam elements and captures the forces and moments due to gyroscopic effects, and rotational accelerations due to start-up. It includes the capability of modeling non-linear contact loss due to backlash clearance and parametric excitations resulting from the state-varying mesh stiffness and solves the time-transient state equations for the displacements and velocities of the shafts using the direct Runge-Kutta method.
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Tudjono, Sri. "The Lateral Torsional Buckling of I Beams with Cross Beams." In 10th International Conference on Advances in Steel Concrete Composite and Hybrid Structures. Singapore: Research Publishing Services, 2012. http://dx.doi.org/10.3850/978-981-07-2615-7_133.

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Tanaka, R. L., R. G. Morini, C. A. Godinho, D. Swanek, and C. Timms. "Qualification of Flexible Flowlines: Lateral Instability Testing." In Offshore Technology Conference. Offshore Technology Conference, 2014. http://dx.doi.org/10.4043/25126-ms.

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Reports on the topic "Lateral instability of beams"

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Bench, G., T. Felter, and A. Antolak. Validating the Predicted Lateral Straggling of MeV-Energy Proton Beams. Office of Scientific and Technical Information (OSTI), November 2003. http://dx.doi.org/10.2172/15009749.

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Felter, Thomas E., Arlyn J. Antolak, and Graham Bench. Validating the predicted lateral straggling of MeV-energy proton beams. Office of Scientific and Technical Information (OSTI), February 2004. http://dx.doi.org/10.2172/918214.

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Lotov, K. Single-Bunch Instability of Positron Beams in Electron Cloud. Office of Scientific and Technical Information (OSTI), February 2004. http://dx.doi.org/10.2172/826785.

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Edward A. Startsev and Ronald C. Davidson. Electromagnetic Weibel Instability in Intense Charged Particle Beams with Large Energy Anisotropy. Office of Scientific and Technical Information (OSTI), October 2003. http://dx.doi.org/10.2172/820112.

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Han, J. H., W. Horton, and J. N. Leboeuf. Dynamics of the ion-ion acoustic instability in the thermalization of ion beams. Office of Scientific and Technical Information (OSTI), July 1992. http://dx.doi.org/10.2172/7106916.

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Sean Strasburg and Ronald C. Davidson. Macroscopic Description of Pressure-anisotropy-driven Collective Instability in Intense Charged Particle Beams. Office of Scientific and Technical Information (OSTI), May 2000. http://dx.doi.org/10.2172/761104.

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Han, J. H., W. Horton, and J. N. Leboeuf. Dynamics of the ion-ion acoustic instability in the thermalization of ion beams. Office of Scientific and Technical Information (OSTI), July 1992. http://dx.doi.org/10.2172/10172486.

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R. Davidso and H. Qin. Effects on axial momentum spread on the electron-ion two-stream instability in high-intensity ion beams. Office of Scientific and Technical Information (OSTI), June 2000. http://dx.doi.org/10.2172/756590.

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Wei, M. Study of Nonlinear Evolution of the Weibel-like Instability of Relativistic Electron Beams Relevant to Fast Ignition and Astrophysics. Office of Scientific and Technical Information (OSTI), December 2012. http://dx.doi.org/10.2172/1059077.

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LATERAL TORSIONAL BUCKLING STRENGTH OF STEEL I BEAMS WITHIN PREFLEXED BEAMS IN PRE- BENDING STAGE. The Hong Kong Institute of Steel Construction, March 2020. http://dx.doi.org/10.18057/ijasc.2020.16.1.6.

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