Relevant bibliographies by topics / The Newmark method

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'The Newmark method'

Author: Grafiati
Published: 4 June 2021
Last updated: 13 February 2022

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Journal articles on the topic "The Newmark method"

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Bradji, Abdallah, and Jürgen Fuhrmann. "Some new error estimates for finite element methods for second order hyperbolic equations using the Newmark method." Mathematica Bohemica 139, no. 2 (2014): 125–36. http://dx.doi.org/10.21136/mb.2014.143843.

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Cai, Xin Jiang, and Shi Zhu Tian. "Stability Analysis Research of Modified CD-Newmark Numerical Integral Method in Seismic Pseudo-Dynamic Test." Applied Mechanics and Materials 638-640 (September 2014): 1869–72. http://dx.doi.org/10.4028/www.scientific.net/amm.638-640.1869.

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The characteristics of explicit numerical integral method is without iteration, and the characteristics of inexplicit numerical integral method is unconditionally stable. The traditional CD-Newmark method has the shortcoming of the bigger upper frequency leads to a small time step, a modified combined integral method named MCD-Newmark release the fixed DOF of numerical substructure, then obtained the parameters range of stable condition of experimental substructure, and the unconditionally stable of numerical substructure is also researched,then the strict stability conditions of the traditional CD-Newmark algorithm is resolved. The study provides reference for structural seismic test.
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Markou, A. A., and G. D. Manolis. "Numerical Solutions for Nonlinear High Damping Rubber Bearing Isolators: Newmark’s Method with Netwon-Raphson Iteration Revisited." Journal of Theoretical and Applied Mechanics 48, no. 1 (March 1, 2018): 46–58. http://dx.doi.org/10.2478/jtam-2018-0004.

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AbstractNumerical methods for the solution of dynamical problems in engineering go back to 1950. The most famous and widely-used time stepping algorithm was developed by Newmark in 1959. In the present study, for the first time, the Newmark algorithm is developed for the case of the trilinear hysteretic model, a model that was used to describe the shear behaviour of high damping rubber bearings. This model is calibrated against free-vibration field tests implemented on a hybrid base isolated building, namely the Solarino project in Italy, as well as against laboratory experiments. A single-degree-of-freedom system is used to describe the behaviour of a low-rise building isolated with a hybrid system comprising high damping rubber bearings and low friction sliding bearings. The behaviour of the high damping rubber bearings is simulated by the trilinear hysteretic model, while the description of the behaviour of the low friction sliding bearings is modeled by a linear Coulomb friction model. In order to prove the effectiveness of the numerical method we compare the analytically solved trilinear hysteretic model calibrated from free-vibration field tests (Solarino project) against the same model solved with the Newmark method with Netwon-Raphson iteration. Almost perfect agreement is observed between the semi-analytical solution and the fully numerical solution with Newmark’s time integration algorithm. This will allow for extension of the trilinear mechanical models to bidirectional horizontal motion, to time-varying vertical loads, to multi-degree-of-freedom-systems, as well to generalized models connected in parallel, where only numerical solutions are possible.
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Khang, Nguyen Van, Lac Van Duong, and Pham Thanh Chung. "On two improved numerical algorithms for vibration analysis of systems involving fractional derivatives." Vietnam Journal of Mechanics 43, no. 2 (June 21, 2021): 171–82. http://dx.doi.org/10.15625/0866-7136/15758.

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Zhang and Shimizu (1998) proposed a numerical algorithm based on Newmark method to calculate the dynamic response of mechanical systems involving fractional derivatives. On the basis of Runge-Kutta-Nyström method and Newmark method, the present study proposes two new numerical algorithms, namely, the improved Newmark algorithm using the second order derivative and the improved Runge-Kutta-Nyström algorithm using the second order derivative to solve the fractional differential equations of vibration systems. The accuracy of new algorithms is investigated in detail by numerical simulation. The simulation result demonstrated that the Runge-Kutta-Nyström algorithm using the second order derivative for the vibration analysis of systems involving fractional derivatives is more effective than the Newmark algorithm of Zhang and Shimizu.
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Choi, Hongjin, Jeahoon Cho, Yong Bae Park, and Kyung-Young Jung. "Newmark-FDTD Formulation for Modified Lorentz Dispersive Medium and Its Equivalence to Auxiliary Differential Equation-FDTD with Bilinear Transformation." International Journal of Antennas and Propagation 2019 (June 20, 2019): 1–7. http://dx.doi.org/10.1155/2019/4173017.

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The finite-difference time-domain (FDTD) method has been popularly utilized to analyze the electromagnetic (EM) wave propagation in dispersive media. Various dispersion models were introduced to consider the frequency-dependent permittivity, including Debye, Drude, Lorentz, quadratic complex rational function, complex-conjugate pole-residue, and critical point models. The Newmark-FDTD method was recently proposed for the EM analysis of dispersive media and it was shown that the proposed Newmark-FDTD method can give higher stability and better accuracy compared to the conventional auxiliary differential equation- (ADE-) FDTD method. In this work, we extend the Newmark-FDTD method to modified Lorentz medium, which can simply unify aforementioned dispersion models. Moreover, it is found that the ADE-FDTD formulation based on the bilinear transformation is exactly the same as the Newmark-FDTD formulation which can have higher stability and better accuracy compared to the conventional ADE-FDTD. Numerical stability, numerical permittivity, and numerical examples are employed to validate our work.
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Ding, Daohong, Qing Zhang, Fuzhang Wang, and Lingyan Luo. "Combination of Newmark method and natural element method for elastodynamics." Journal of the Chinese Institute of Engineers 35, no. 7 (October 2012): 869–77. http://dx.doi.org/10.1080/02533839.2012.708537.

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Cui, Yulong, Aijuan Liu, Chong Xu, and Jun Zheng. "A Modified Newmark Method for Calculating Permanent Displacement of Seismic Slope considering Dynamic Critical Acceleration." Advances in Civil Engineering 2019 (September 15, 2019): 1–10. http://dx.doi.org/10.1155/2019/9782515.

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Newmark permanent displacement is an important index for evaluating seismic slope stability, which has been widely used in recent years. The traditional Newmark sliding method assumes that the critical acceleration is constant but does not consider the inhomogeneity and dynamic reduction process of shear strength on the sliding surface, presumably leading to underestimation of the permanent displacement. In this paper, this problem is analyzed, and a new method for calculating permanent displacement of seismic slope considering dynamic critical acceleration is proposed, in which the Monte Carlo simulation is used. Example calculations indicate that this approach permits to show the dropping cohesion and the dynamic critical acceleration of the slide block during the earthquake time history. The improved method for calculating seismic slope permanent displacement presented in this paper solves the problem that the calculated value from the Newmark sliding method is smaller than the real value and is a useful improvement.
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Sheng, Gang, and Bo Liu. "Modified Newmark method for head-disk interface dynamics." Computers & Structures 66, no. 2-3 (January 1998): 145–54. http://dx.doi.org/10.1016/s0045-7949(97)00090-4.

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Nakahira, N., K. Ozawa, and M. Naruoka. "Vibration of plane trusses by the Newmark method." Computers & Structures 37, no. 4 (January 1990): 515–20. http://dx.doi.org/10.1016/0045-7949(90)90040-9.

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ROY, D., and M. K. DASH. "A STOCHASTIC NEWMARK METHOD FOR ENGINEERING DYNAMICAL SYSTEMS." Journal of Sound and Vibration 249, no. 1 (January 2002): 83–100. http://dx.doi.org/10.1006/jsvi.2001.3854.

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Dissertations / Theses on the topic "The Newmark method"

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Peng, Bo. "Applying the Newmark Method to the Discontinuous Deformation Analysis." Thesis, Virginia Tech, 2014. http://hdl.handle.net/10919/51092.

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Discontinuous deformation analysis (DDA) is a newly developed simulation method for discontinuous systems. It was designed to simulate systems with arbitrary shaped blocks with high efficiency while providing accurate solutions for energy dissipation. But DDA usually exhibits damping effects that are inconsistent with theoretical solutions. The deep reason for these artificial damping effects has been an open question, and it is hypothesized that these damping effects could result from the time integration scheme. In this thesis two time integration methods are investigated: the forward Euler method and the Newmark method. The work begins by combining the Newmark method and the DDA. An integrated Newmark method is also developed, where velocity and acceleration do not need to be updated. In simulations, two of the most widely used models are adopted to test the forward Euler method and the Newmark method. The first one is a sliding model, in which both the forward Euler method and the Newmark method give accurate solutions compared with analytical results. The second model is an impacting model, in which the Newmark method has much better accuracy than the forward Euler method, and there are minimal damping effects.
Master of Science
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JUNIOR, GERALDO AUGUSTO FILGUEIRAS. "DYNAMIC SOLUTIONS: USING THE NEWMARK METHOD IN ITS CONDITIONALLY STABLE FORM." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 1986. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=20401@1.

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COMISSÃO NACIONAL DE ENERGIA NUCLEAR
Desenvolve –se um método de integração direta para solução temporal das equações de equilíbrio dinâmico resultantes de discretizações utilizando o método de elementos finitos. O algoritmo proposto consiste na generalização do método de Newmark com variação dos parâmetros de integração, permitindo uma redução do erro gerado no período da solução numérica e o aumento do passo temporal de integração. O método resultante é condicionalmente estável e uma análise detalhada do operador de aproximação temporal da solução, permite identificar a flexibilidade do método quanto ao erro introduzido na solução passo a passo. A Análise é desenvolvida considerando-se sistemas não dissipativos, porém conclusões da aplicação do método proposto são estendidas à sistemas amortecidos. O Algoritmo foi implementado em computador e alguns resultados são comparados com soluções analíticas e numéricas disponíveis que ilustram o desempenho e as possibilidades do método proposto.
A direct time integration method for the solution of dynamic equilibrium equations obtained from the finite element method is presented. The proposed algorithm is based on a generalization of the Newmark method for different integration parameters, which allows an error reduction in the integration time step. The method results in a conditionally stable technique, and a detailed analysis of the integration operator allows to identify its error response in the step-by-step solution. The analysis is presented for non-damping systems, however conclusion for applications of the proposed method to damping systems are also drawn. The algorithm has been implemented to analytical or other numerical solutions which illustrate its performance and applicability to engineering problems.
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Ching, Hsu-Kuang. "Solution of Linear Elastostatic and Elastodynamic Plane Problems by the Meshless Local Petrov-Galerkin Method." Diss., Virginia Tech, 2002. http://hdl.handle.net/10919/28885.

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The meshless local Petrov-Galerkin (MLPG) method is used to numerically find an approximate solution of plane strain/stress linear elastostatic and elastodynamic problems. The MLPG method requires only a set of nodes both for the interpolation of the solution variables and the evaluation of various integrals appearing in the problem formulation. The monomial basis functions in the MLPG formulation have been enriched with those for the linear elastic fracture mechanics solutions near a crack tip. Also, the diffraction and the visibility criteria have been added to make the displacement field discontinuous across a crack. A computer code has been developed in Fortran and validated by comparing computed solutions of three static and one dynamic problem with their analytical solutions. The capabilities of the code have been extended to analyze contact problems in which a displacement component and the complementary traction component are prescribed at the same point of the boundary. The code has been used to analyze stress and deformation fields near a crack tip and to find the stress intensity factors by using contour integrals, the equivalent domain integrals and the J-integral and from the intercepts with the ordinate of the plots, on a logarithmic scale, of the stress components versus the distance ahead of the crack tip. We have also computed time histories of the stress intensity factors at the tips of a central crack in a rectangular plate with plate edges parallel to the crack loaded in tension. These are found to compare favorably with those available in the literature. The code has been used to compute time histories of the stress intensity factors in a double edge-notched plate with the smooth edge between the notches loaded in compression. It is found that the deformation fields near the notch tip are mode-II dominant. The mode mixity parameter can be changed in an orthotropic plate by adjusting the ratio of the Young's moduli in the axial and the transverse direction. The plane strain problem of compressing a linear elastic material confined in a rectangular cavity with rough horizontal walls and a smooth vertical wall has been studied with the developed code. Computed displacements and stresses are found to agree well with the analytical solution of the problem obtained by the Laplace transform technique. The Appendix describes the analysis with the finite element code ABAQUS of the dependence of the energy release rate upon the crack length in a polymeric disk enclosed in a steel ring and having a star shaped hole at its center. A starter crack is assumed to exist in one of the leaflets of the hole. The disk is loaded either by a pressure acting on the surfaces of the hole and the crack or by a temperature rise. Computed values of the energy release rate obtained by modeling the disk material as Hookean are found to be about 30% higher than those obtained when the disk material is modeled as Mooney-Rivlin. The latter set of results accounts for both material and geometric nonlinearities.
Ph. D.
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Bulbul, Oguzhan. "An Analysis Of Degirmendere Shore Landslide During 17 August 1999 Kocaeli Earthquake." Master's thesis, METU, 2006. http://etd.lib.metu.edu.tr/upload/12607845/index.pdf.

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In this study, the failure mechanism of the shore landslide which occured at Degirmendere coast region during 17 August 1999 Kocaeli (Izmit) - Turkey earthquake is analyzed. Geotechnical studies of the region are at hand, which reveal soil properties and geological formation of the region as well as the topography of the shore basin after deformations. The failure is analyzed as a landslide and permanent displacements are calculated by Newmark Method under 17 August 1999 Izmit record, scaled to a maximum acceleration of 0.4g. There are discussions on the main dominating mechanism of failure
landslide, liquefaction, fault rupture and lateral spreading. According to the studies, the failure mechanism is a seismically induced shore landslide also triggered by liquefaction and fault rupture, accompanied by the mechanism of lateral spreading by turbulence. A seismically induced landslide is discussed and modeled in this study. The finite element programs TELSTA and TELDYN are employed for static and dynamic analyses. Slope stability analyses are performed with the program SLOPE. The permanent displacements are calculated with Newmark Method, with the help of a MATLAB program, without considering the excess pore pressures.
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Volpini, Estevão Xavier. "Estudo de vibração forçada em placas laminadas pelo metodo dos elementos finitos usando a integração direta de Newmark." [s.n.], 2006. http://repositorio.unicamp.br/jspui/handle/REPOSIP/257865.

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Orientador: Aloisio Ernesto Assan
Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Civil, Arquitetura e Urbanismo
Made available in DSpace on 2018-08-07T16:33:50Z (GMT). No. of bitstreams: 1 Volpini_EstevaoXavier_M.pdf: 3994255 bytes, checksum: 682eea9ccb0ec139a6d062e4466cd140 (MD5) Previous issue date: 2006
Resumo: Este estudo tem por objetivo implementar, em programa já existente para a análise de placas laminadas de compósitos, a análise dinâmica de placas laminadas sob ação de carregamento forçado com integração direta pelo algoritmo de Newmark. O programa inicial de elementos finitos, que realiza a análise estática, foi desenvolvido por Tápia (1998), usando o elemento finito de Kosmatka (1994), formulado com a teoria de deformação por cisalhamento de primeira ordem de Reissner-Mindlin. Cassiano (2002) implementou nesse programa o cálculo das freqüências naturais. Neste trabalho foi introduzida a análise dinâmica forçada, através da integração direta no tempo, empregando o método de Newmark. Exemplos comparativos com variações das espessuras das placas, do número de lâminas, das orientações das fibras e das vinculações das bordas, mostram o excelente comportamento do elemento finito aqui empregado
Abstract: : The aim of this study is the dynamic analysis of laminated composite plates under forced transverse vibration with time direct-integration method. The original program, with the static analysis, was developed by Tapia (1998) using the element proposed by Kosmatka (1994), formulated with first-order shear deformation theory of Reissner-Mindlin. Later Cassiano (2002) introduced into this finite element code the evaluation of the natural frequencies. In this thesis the dynamic analysis by means of a direct time integration method, which was formulated by Newmark, was performed. Comparative examples with several plates thicknesses, number of laminates, orientation of the fibers and boundary constraints, show the excellent performance of the finite element used herein
Mestrado
Estruturas
Mestre em Engenharia Civil
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Gatti, Anderson Carlos. "Analise dinamica linear de porticos planos pelo metodo dos elementos finitos." [s.n.], 2006. http://repositorio.unicamp.br/jspui/handle/REPOSIP/257864.

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Orientador: Aloisio Ernesto Assan
Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Civil, Arquitetura e Urbanismo
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Resumo: Neste trabalho estuda-se o comportamento de pórticos planos submetidos a ações dinâmicas. Apresenta-se, inicialmente, a Equação de Movimento de Lagrange através das variações das energias cinética, potencial mais o trabalho das forças não conservativas. Em seguida, pelo emprego do Método dos Elementos Finitos são desenvolvidas as matrizes de rigidez, massa e amortecimento para o elemento de pórtico plano. O amortecimento introduzido é o de Rayleigh. Estudam-se dois métodos para a realização da análise dinâmica: o método de Newmark e o Método da Superposição Modal, também sendo realizado um estudo do problema de autovalor e autovetor pelo emprego do Método das Potências e o Método da Deflação de Wielandt. Os autovalores e autovetores fornecerão as freqüências naturais e os modos de vibração da estrutura. Finalmente, são mostrados exemplos numéricos para a análise do comportamento dos pórticos planos
Abstract: In this work, it is studied the behavior of plane frames submitted to dynamic loads. First of all Lagrange¿s Equations of Motion is presented by the kinetic and potential energy variation plus the work of the nonconservative forces. Next, the stiffness, mass and damping matrices for the plane frame element are developed with the use of the Finite Element Method. Damping is introduced from the Rayleigh damping. Both Newmark Method and Modal Superposition Method are studied to carry out the dynamic analysis. It is also carried out a study of the eigenvalue problem by Power Method and Wielandt Deflation Method. Eigenvalues and eigenvectors will provide the natural frequencies and normal modes of the structure, respectively. Finally, numerical examples are related to the analysis of the plane frameworks behavior
Mestrado
Estruturas
Mestre em Engenharia Civil
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Kalluru, Mallikarjun. "One-way Coupled Hydroelastic Analysis of Aluminum Wedge Under Slamming." ScholarWorks@UNO, 2017. https://scholarworks.uno.edu/td/2414.

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The concept of using aluminum as the primary construction material for high speed ships and the hydroelastic behavior of the structure is widely gaining importance as a significant research topic in naval architecture. Aluminum is lighter than steel and hence can be predominantly used in high speed crafts which experiences significant slamming. This thesis work is focused on wedge shaped models. Free fall wedge impact is studied and a FORTRAN 90 computer program is developed to estimate the structural response of the wedge experiencing slamming by the use of matrix methods, finite element techniques and Newmark-Beta numerical time integration methods. The numerical solution is validated by comparison with the static solution. The theoretical hydrodynamic pressures which are used as input for this work was originally developed by using a flat cylinder theory [26]. The wedge drop at 0.6096 m (24 inch) drop height with an impact veloc- ity of v=3.05 m/s is based as the premise and the experimental pressure distributions measured by the pressure-transducers and the theoretical pressure predictions are used as inputs and the structural response is derived. Additionally, the response is compared for three different plate thicknesses and the results are compared against each other. The maximum deflection is comparable to the deflection evaluated from the experiment and tends to attain convergence as well. As the plate thickness reduces there tends to be a significant rise in the deflection values for the wedge plate, in the manner that when the plate thickness is halved there is a deviation of more than 75% in the deflection values as such.
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Hall, Braydon Day. "The Dynamic Analysis of a Composite Overwrapped Gun Barrel with Constrained Viscoelastic Damping Layers Using the Modal Strain Energy Method." DigitalCommons@USU, 2013. https://digitalcommons.usu.edu/etd/1972.

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The effects of a composite overwrapped gun barrel with viscoelastic damping layers are investigated. Interlaminar stresses and constrained layer damping effects are described. The Modal Strain Energy method is developed for measuring the extent to which the barrel is damped. The equations of motion used in the finite element analysis are derived. The transient solution process is outlined. Decisions for selected parameters are discussed. The results of the finite element analyses are presented using the program written in FORTRAN. The static solution is solved with a constant internal pressure resulting in a calculated loss factor from the Modal Strain Energy Method. The transient solution is solved using the Newmark-Beta method and a variable internal pressure. The analyses conclude that strategically placed viscoelastic layers dissipate strain energy more effectively than a thick single viscoelastic layer. The optimal angle for maximizing the coefficient of mutual influence in a composite cylinder is not necessarily the optimal angle when viscoelastic layers are introduced between layers.
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Soli, Andrea. "Identificazione di strutture reticolari mediante prove dinamiche e algoritmi genetici." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2017.

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Nel presente elaborato di tesi viene descritto un metodo di indagine che, mediante prove dinamiche e misure di accelerazione, si propone di identificare eventuali danneggiamenti in strutture reticolari spaziali. L’identificazione consiste, sulla base di dati sperimentali in termini di frequenze proprie del sistema, nel determinare, con la migliore precisione possibile l’area della sezione trasversale degli elementi. Il problema è formulato come un problema di ottimizzazione e l’identificazione è condotta mediante l’utilizzo di Algoritmi Genetici (brevemente GAs). In particolare, una funzione obiettivo misura la differenza tra le grandezze misurate sperimentalmente e le grandezze ottenute numericamente mediante un codice FEM della struttura in esame. Il principio cui sono ispirati gli algoritmi genetici fa sì che questi ricerchino il miglior individuo all’interno di una popolazione che rappresenta le possibili soluzioni del problema. Si riportano i dati ottenuti, mediante prove dinamiche, su una struttura reale, che permettono di ottenere informazioni sui parametri modali: frequenze proprie e smorzamento. Si confrontano, infine due differenti tipi di sensori di accelerazione, dimostrando la validità e i possibili benefici dell'utilizzo di sensori con tecnologia MEMS nell'ambito della misura delle vibrazioni.
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Köbis, Markus Arthur [Verfasser], Martin [Akademischer Betreuer] Arnold, and Bernd [Akademischer Betreuer] Simeon. "A family of Newmark-type methods for singularly perturbed mechanical systems / Markus Arthur Köbis ; Martin Arnold, Bernd Simeon." Halle, 2016. http://d-nb.info/111980292X/34.

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Books on the topic "The Newmark method"

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Fettah, Hassan Omar. An investigation into Newmark's method in the analysis of plane trusses. 1995.

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Norris, T. J. Newman and His Theological Method: A Guide for the Theologian Today. Brill Academic Publishers, 1997.

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Programs for using Newmark's method to model slope performance during earthquakes (Open-file report). U.S. Dept. of the Interior, U.S. Geological Survey, 2001.

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Jibson, Randall W. Java programs for using Newmark's method to model slope performance during earthquakes (Open-file report). For sale by the Survey (Open-File Report Sales), 2002.

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Jibson, Randall W. Java programs for using Newmark's method and simplified decoupled analysis to model slope performance during earthquakes (Open-file report). For sale by the Survey (Open-File Report Sales), 2003.

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Hefling, Charles. Justification. Edited by Frederick D. Aquino and Benjamin J. King. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198718284.013.12.

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Newman’s Lectures on the Doctrine of Justification are seldom read, but there is perhaps no better place to see his theological reasoning at work. The goals and method of the argument parallel those of Tract 90, which explicitly incorporates the conclusions arrived at in the Lectures. Newman wrote them, initially, to rebut charges of unorthodoxy, as defined by Anglican doctrinal formularies. At issue was whether justification by faith can be reconciled with Tractarian teaching on baptism and obedience as intrinsic to justification. Newman’s endeavour to expound his Church’s official doctrine in a way that minimizes its Reformation origins involves remarkable logical and rhetorical manoeuvres; by the end he appears to have abandoned most of what justification has meant, in favour of a neo-patristic understanding of divine presence, conceived as something like deification.
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Herring, George. Devotional and Liturgical Renewal. Edited by Stewart J. Brown, Peter Nockles, and James Pereiro. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199580187.013.28.

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In this chapter the author explores the relationship between the Oxford Movement and liturgical practice. From the beginnings of the Movement in the 1830s, John Henry Newman and other early leaders perceived a danger in an overemphasis on the ceremonial, an attitude that continued to be shared by mainstream Tractarianism after 1845. The 1860s proved to be a pivotal decade, however, with a growing use of eucharistic vestments, incense, and other practices that had been absent in earlier decades. The author analyses the reasons for this change of emphasis, and the relationship between the newer Ritualism and the original aims and methods of the Movement, along with the response of their opponents.
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McGowan, Andrew. Anglicanism and the Fathers. Edited by Mark Chapman, Sathianathan Clarke, and Martyn Percy. Oxford University Press, 2016. http://dx.doi.org/10.1093/oxfordhb/9780199218561.013.7.

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Anglicanism from the time of the Reformation has been characterized by a persistent interest in the Fathers of the church which joins authorities as diverse in date and disposition as Cranmer and Pusey or Jewel and Newman. While both the methods of reading and the conclusions drawn from considering patristic sources have varied greatly, Anglicans of different tendencies have tended to value the Fathers such as Augustine both as representing a Catholic consensus opposed to Roman and Puritan extremes, and as uniquely useful sources for theological discourse, constructive or controversial. Even where the authority of the Fathers is not regarded as theologically unique, the characteristics identified as necessary in a Church both catholic and reformed have tended to be drawn from the practice and belief of ancient Christianity, as in the Quadrilateral. Anglicanism is less a tradition characterized by confessional adherence to the Fathers as by consistent acknowledgement of its historical basis in the early Church in terms of both doctrine and dogma.
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Book chapters on the topic "The Newmark method"

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Bajer, Czesław I., and Bartłomiej Dyniewicz. "The Newmark Method and a Moving Inertial Load." In Numerical Analysis of Vibrations of Structures under Moving Inertial Load, 223–40. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-29548-5_8.

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Zangeneh, N., and R. Popescu. "Displacement Analysis of Submarine Slopes Using Enhanced Newmark Method." In Submarine Mass Movements and Their Consequences, 193–202. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-010-0093-2_22.

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Silva, Jonathan Esteban Arroyo, Michelli Marlane Silva Loureiro, Webe Joao Mansur, and Felipe dos Santos Loureiro. "An Uncoupling Strategy in the Newmark Method for Dynamic Problems." In Computational Science and Its Applications – ICCSA 2017, 347–62. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-62395-5_24.

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Benítez, Marta, Alfredo Bermúdez, and Pedro Fontán. "A Second-Order Linear Newmark Method for Lagrangian Navier-Stokes Equations." In SEMA SIMAI Springer Series, 33–59. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-97613-6_3.

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Torgoev, Almaz, and Hans-Balder Havenith. "Parametric Numerical Study of Seismic Slope Stability and Verification of the Newmark Method." In Earthquake-Induced Landslides, 635–42. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-32238-9_68.

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Xu, Zhen, and Hua Deng. "A Contact/Impact Analysis of Rigid Bodies Based on Newmark Direct Integration Method." In Intelligent Robotics and Applications, 339–44. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-16587-0_31.

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Zank, Marco. "The Newmark Method and a Space–Time FEM for the Second–Order Wave Equation." In Lecture Notes in Computational Science and Engineering, 1225–33. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-55874-1_122.

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Uriarte, Haritz, Igor Fernández de Bustos, and Gorka Urkullu. "Implementation of Linear Springs and Dampers in a Newmark Second Order Direct Integration Method for 2D Multibody Dynamics." In Multibody Dynamics 2019, 323–31. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-23132-3_39.

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Adshead, S. A. M. "Newman: Method and Authority." In Philosophy of Religion in Nineteenth-Century England and Beyond, 22–39. London: Palgrave Macmillan UK, 2000. http://dx.doi.org/10.1057/9780230595460_2.

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Chen, X., W. Gong, Y. Li, J. Qiu, and X. Zhong. "Seismic dynamic reliability analysis of bedding rock slopes based on Newmark-β method." In Rock Dynamics: From Research to Engineering, 409–16. CRC Press, 2016. http://dx.doi.org/10.1201/b21378-62.

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Conference papers on the topic "The Newmark method"

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He, Xinbo, Bing Wei, Kaihang Fan, and Xincheng Ren. "Explicit Newmark-FDTD Method Based on Maxwell’s Equation." In 2020 IEEE International Conference on Computational Electromagnetics (ICCEM). IEEE, 2020. http://dx.doi.org/10.1109/iccem47450.2020.9219414.

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Zhang, Huimin, Yufeng Xing, and Zhenyu Li. "Four-stage Newmark method for structural dynamics analysis." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2017 (ICCMSE-2017). Author(s), 2017. http://dx.doi.org/10.1063/1.5012431.

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Aksoy, H. G., H. Tanröver, and E. Şenocak. "Comparison of Newmark and Space-Time Discontinuous Galerkin Method." In Ninth Biennial Conference on Engineering, Construction, and Operations in Challenging Environments. Reston, VA: American Society of Civil Engineers, 2004. http://dx.doi.org/10.1061/40722(153)74.

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Mirzendehdel, Amir M., and Krishnan Suresh. "A Fast Time-Stepping Strategy for the Newmark-Beta Method." In ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/detc2014-34387.

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In this paper, we develop a fast time-stepping strategy for the Newmark-beta method; the latter is used extensively in structural dynamics. In particular, we speed up the repeated inversion of the linear systems in the Newmark-beta method by implementing and merging four distinct but complementary concepts: (1) voxelization, (2) assembly-free finite element analysis, (3) deflated conjugate gradient, and (4) adaptive local refinement. The resulting assembly-free deflated conjugate gradient (AF-DCG) version of the Newmark-beta is well-suited for large-scale problems, and can be easily ported to multi-core architectures. Numerical experiments demonstrate the efficacy of the proposed method.
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Chang, Shuenn-Yih. "Error Propagation for Explicit Pseudodynamic Testing." In ASME 2003 Pressure Vessels and Piping Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/pvp2003-2119.

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Error propagation characteristics of the Newmark explicit method, the modified Newmark explicit method and the α-function dissipative explicit method in performing a pseudodynamic test are studied herein. It is shown that the Newmark explicit method is non-dissipative while the modified Newmark explicit method and the α-function dissipative explicit method are dissipative and can eliminate the spurious participation of high frequency responses. Furthermore, analytical results of the error propagation analysis reveal that the modified Newmark explicit method and the α-function dissipative explicit method have much better error propagation properties when compared to the Newmark explicit method. The major disadvantages of the modified Newmark explicit method are the positive lower stability limit and undesired numerical dissipation. This implies that the α-function dissipative explicit method might be the most appropriate explicit pseudodynamic algorithm among the three integration methods.
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Gavrea, B., D. Negrut, and F. A. Potra. "The Newmark Integration Method for Simulation of Multibody Systems: Analytical Considerations." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-81770.

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When simulating the behavior of a mechanical system, the time evolution of the generalized coordinates used to represent the configuration of the model is computed as the solution of a combined set of ordinary differential and algebraic equations (DAEs). There are several ways in which the numerical solution of the resulting index 3 DAE problem can be approached. The most well-known and time-honored algorithms are the direct discretization approach, and the state-space reduction approach, respectively. In the latter, the problem is reduced to a minimal set of potentially new generalized coordinates in which the problem assumes the form of a pure second order set of Ordinary Differential Equations (ODE). This approach is very accurate, but computationally intensive, especially when dealing with large mechanical systems that contain flexible parts, stiff components, and contact/impact. The direct discretization approach is less but nevertheless sufficiently accurate yet significantly faster, and it is the approach that is considered in this paper. In the context of direct discretization methods, approaches based on the Backward Differentiation Formulas (BDF) have been the traditional choice for more than 20 years. This paper proposes a new approach in which BDF methods are replaced by the Newmark formulas. Local convergence analysis is carried out for the proposed method, and step-size control, error estimation, and nonlinear system solution related issues are discussed in detail. A series of two simple models are used to validate the method. The global convergence analysis and a computational-efficiency comparison with the most widely used numerical integrator available in the MSC.ADAMS commercial simulation package are forthcoming. The new method has been implemented successfully for industrial strength Dynamic Analysis simulations in the 2005 version of the MSC.ADAMS software and used very effectively for the simulation of systems with more than 15,000 differential-algebraic equations.
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Wang, Gui-Xuan, Xun-Qiang Yin, and Hao-Ran Li. "A new method based on improved Newmark method of solving nonlinear static-dynamic coupling analysis." In 2016 International Conference on Mechanics and Architectural Design. WORLD SCIENTIFIC, 2016. http://dx.doi.org/10.1142/9789813149021_0064.

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Brun, Michael, Anthony Gravouil, and Alain Combescure. "ENERGY METHOD FOR COUPLING NEWMARK AND ALPHA-SCHEMES TIME INTEGRATORS WITH DIFFERENT TIME STEPS." In 5th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering Methods in Structural Dynamics and Earthquake Engineering. Athens: Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece, 2015. http://dx.doi.org/10.7712/120115.3454.640.

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Huo, Junzhou, Hanyang Wu, Jing Chen, Jingxiu Ling, and Guangqing Li. "The Dynamic model to solve a TBM cutterhead multi-DOF with Newmark and Rungekutta method." In Computer Science and Technology 2015. Science & Engineering Research Support soCiety, 2015. http://dx.doi.org/10.14257/astl.2015.81.06.

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Chilton, Ryan A., and Robert Lee. "Late-time instability of the finite element time domain (FETD) method when using newmark time integration." In 2007 IEEE Antennas and Propagation Society International Symposium. IEEE, 2007. http://dx.doi.org/10.1109/aps.2007.4396686.

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