Relevant bibliographies by topics / Variational Asymptotic Beam

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

Academic literature on the topic 'Variational Asymptotic Beam'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Variational Asymptotic Beam"

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Yu, Wenbin, Vitali V. Volovoi, Dewey H. Hodges, and Xianyu Hong. "Validation of the Variational Asymptotic Beam Sectional Analysis." AIAA Journal 40, no. 10 (2002): 2105–12. http://dx.doi.org/10.2514/2.1545.

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Yoon, Ri-Kyoung, and Chang-Young Lee. "Optimal Beam Theory through Dynamic Variational-Asymptotic Procedure." Journal of Power System Engineering 24, no. 4 (2020): 36–44. http://dx.doi.org/10.9726/kspse.2020.24.4.036.

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Yu, W., V. Volovoi, D. H. Hodges, and X. Hong. "Validation of the variational asymptotic beam sectional analysis." AIAA Journal 40 (January 2002): 2105–12. http://dx.doi.org/10.2514/3.15301.

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Yu, Wenbin, Dewey H. Hodges, and Jimmy C. Ho. "Variational asymptotic beam sectional analysis – An updated version." International Journal of Engineering Science 59 (October 2012): 40–64. http://dx.doi.org/10.1016/j.ijengsci.2012.03.006.

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Barchiesi, Emilio, and Sergei Khakalo. "Variational asymptotic homogenization of beam-like square lattice structures." Mathematics and Mechanics of Solids 24, no. 10 (2019): 3295–318. http://dx.doi.org/10.1177/1081286519843155.

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By means of variational asymptotic homogenization, using Piola’s meso-macro ansatz, we derive the linear Timoshenko beam as the macro-scale limit of a meso-scale beam-like periodic planar square lattice structure. By considering benchmarks in statics and dynamics, meso-to-macro convergence is numerically analyzed. At the finest micro-scale, a 2D assembly of elastic, geometrically linear, isotropic and homogeneous Cauchy continua in plane strain with different material parameters is considered. Using this description, we calibrate the meso-scale model using standard methodology and, by exploiti
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Yu, Wenbin, and Dewey H. Hodges. "Generalized Timoshenko Theory of the Variational Asymptotic Beam Sectional Analysis." Journal of the American Helicopter Society 50, no. 1 (2005): 46–55. http://dx.doi.org/10.4050/1.3092842.

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Hodges, Dewey H. "Unified Approach for Accurate and Efficient Modeling of Composite Rotor Blade Dynamics The Alexander A. Nikolsky Honorary Lecture." Journal of the American Helicopter Society 60, no. 1 (2015): 1–28. http://dx.doi.org/10.4050/jahs.60.011001.

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Herein is described the development of a unified approach, which spans several decades and facilitates accurate and efficient modeling of composite helicopter rotor blades for loads, dynamics, aeroelasticity, and stress recovery. The approach achieves accuracy comparable to that of three-dimensional finite element analysis but with significant savings in computational effort. The basis for this approach is a mathematical technique called the variational asymptotic method. This paper summarizes the modeling approach and presents some of the key equations of the resulting analyses. Examples are
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Yu, Wenbin, and Dewey H. Hodges. "Elasticity Solutions Versus Asymptotic Sectional Analysis of Homogeneous, Isotropic, Prismatic Beams." Journal of Applied Mechanics 71, no. 1 (2004): 15–23. http://dx.doi.org/10.1115/1.1640367.

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The original three-dimensional elasticity problem of isotropic prismatic beams has been solved analytically by the variational asymptotic method (VAM). The resulting classical model (Euler-Bernoulli-like) is the same as the superposition of elasticity solutions of extension, Saint-Venant torsion, and pure bending in two orthogonal directions. The resulting refined model (Timoshenko-like) is the same as the superposition of elasticity solutions of extension, Saint-Venant torsion, and both bending and transverse shear in two orthogonal directions. The fact that the VAM can reproduce results from
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Jang, Jun Hwan, and Jae Hoon Kim. "EXPERIMENTAL VERIFICATION OF COUPLED STIFFNESS MATRIX IN MULTILAYER COMPOSITE STRUCTURE WITH COMPLEX CURVATURE." International Journal of Modern Physics: Conference Series 06 (January 2012): 634–39. http://dx.doi.org/10.1142/s2010194512003893.

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The paper presents an experimental verification for calculating coupled stiffness matrix in complex curvature composite structure. The results of the analytical procedure using Variational Asymptotic Beam Sectional Analysis also indicate that the calculation of 2-D, beam, cross-sectional properties can then be incorporated into and 1-D beam analysis expressed coupled stiffness matrix. This paper presents the 2-D cross-sectional analysis of active anisotropic beams. Comparison between the analytical and experimental results shows that the proposed analytical procedure can provide an accurate an
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Niu, J. C., C. W. Lim, and A. Y. T. Leung. "Third-order non-local beam theories for the analysis of symmetrical nanobeams." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 223, no. 10 (2009): 2451–63. http://dx.doi.org/10.1243/09544062jmes1501.

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This article presents formulation of third-order non-local beam theories based on Eringen's non-local continuum theory and the Reddy and Leung higher-order beam models for bending, buckling, and vibration of nanobeams. By applying the variational principle, an asymptotic governing differential equation of infinite-order strain gradients is derived and subsequently the governing equation of motion of the nanobeams is obtained. For practical applications, the Navier solutions of the asymptotic non-local model are presented and discussed. Bending, buckling, and vibration of nanobeams with simply
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Dissertations / Theses on the topic "Variational Asymptotic Beam"

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Wang, Qi. "Asymptotic Multiphysics Modeling of Composite Beams." DigitalCommons@USU, 2011. https://digitalcommons.usu.edu/etd/1066.

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A series of composite beam models are constructed for efficient high-fidelity beam analysis based on the variational-asymptotic method (VAM). Without invoking any a priori kinematic assumptions, the original three-dimensional, geometrically nonlinear beam problem is rigorously split into a two-dimensional cross-sectional analysis and a one-dimensional global beam analysis, taking advantage of the geometric small parameter that is an inherent property of the structure. The thermal problem of composite beams is studied first. According to the quasisteady theory of thermoelasticity, two beam mode
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Song, Huimin. "Rigorous joining of advanced reduced-dimensional beam models to 3D finite element models." Diss., Georgia Institute of Technology, 2010. http://hdl.handle.net/1853/33901.

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This dissertation developed a method that can accurately and efficiently capture the response of a structure by rigorous combination of a reduced-dimensional beam finite element model with a model based on full two-dimensional (2D) or three-dimensional (3D) finite elements. As a proof of concept, a joint 2D-beam approach is studied for planar-inplane deformation of strip-beams. This approach is developed for obtaining understanding needed to do the joint 3D-beam model. A Matlab code is developed to solve achieve this 2D-beam approach. For joint 2D-beam approach, the static response of a basic
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Chakravarty, Uttam Kumar. "Section builder: a finite element tool for analysis and design of composite." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2008. http://hdl.handle.net/1853/22640.

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Thesis (Ph. D.)--Aerospace Engineering, Georgia Institute of Technology, 2008.<br>Committee Chair: Bauchau, Olivier; Committee Member: Craig, James; Committee Member: Hodges, Dewey; Committee Member: Mahfuz, Hassan; Committee Member: Volovoi, Vitali.
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Watson, Francis Maurice. "Better imaging for landmine detection : an exploration of 3D full-wave inversion for ground-penetrating radar." Thesis, University of Manchester, 2016. https://www.research.manchester.ac.uk/portal/en/theses/better-imaging-for-landmine-detection-an-exploration-of-3d-fullwave-inversion-for-groundpenetrating-radar(720bab5f-03a7-4531-9a56-7121609b3ef0).html.

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Humanitarian clearance of minefields is most often carried out by hand, conventionally using a a metal detector and a probe. Detection is a very slow process, as every piece of detected metal must treated as if it were a landmine and carefully probed and excavated, while many of them are not. The process can be safely sped up by use of Ground-Penetrating Radar (GPR) to image the subsurface, to verify metal detection results and safely ignore any objects which could not possibly be a landmine. In this thesis, we explore the possibility of using Full Wave Inversion (FWI) to improve GPR imaging f
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Guruprasad, P. J. "Cross-Sectional Analysis Of A Pretwisted Anisotropic Strip In The Presence Of Delamination." Thesis, 2005. http://etd.iisc.ernet.in/handle/2005/1469.

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Van, den Bosch Taeke Nicolai. "The aeroelastic tailoring of a high aspect-ratio composite structure / Taeke Nicolai van den Bosch." Thesis, 2014. http://hdl.handle.net/10394/13439.

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The aim of this investigation was to review literature for the most suitable aeroelastic tailoring analysis tools for long slender composite structures, and integrate them into an aeroelastic tailoring process. The JS1C Revelation is a high performance sailplane made from modern composites, mostly carbon fibre. This has the advantage of being more rigid than traditional engineering materials, thereby reducing the effects of the twisting deflections on these long slender structures due to aerodynamic loads. The implementing of aeroelastic tailoring can create bend-twist couples for performance
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Ameen, Maqsood Mohammed. "Analysis of Thick Laminated Composite Beams using Variational Asymptotic Method." Thesis, 2016. http://etd.iisc.ernet.in/2005/3720.

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An asymptotically-exact methodology is presented for obtaining the cross-sectional stiffness matrix of a pre-twisted, moderately-thick beam having rectangular cross sections and made of transversely isotropic material. The beam is modelled with-out assumptions from 3-D elasticity. The strain energy of the beam is computed making use of the constitutive law and the kinematical relations derived with the inclusion of geometrical nonlinearities and initial twist. Large displacements and rotations are allowed, but small strain is assumed. The Variational Asymptotic Method (VAM) is used to minimize
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McWilliam, Michael Kenneth. "Towards multidisciplinary design optimization capability of horizontal axis wind turbines." Thesis, 2015. http://hdl.handle.net/1828/6441.

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Research into advanced wind turbine design has shown that load alleviation strategies like bend-twist coupled blades and coned rotors could reduce costs. However these strategies are based on nonlinear aero-structural dynamics providing additional benefits to components beyond the blades. These innovations will require Multi-disciplinary Design Optimization (MDO) to realize the full benefits. This research expands the MDO capabilities of Horizontal Axis Wind Turbines. The early research explored the numerical stability properties of Blade Element Momentum (BEM) models. Then developed a prov
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Book chapters on the topic "Variational Asymptotic Beam"

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Ghorashi, Mehrdaad. "Review of the Variational Asymptotic Method and the Intrinsic Equations of a Beam." In Statics and Rotational Dynamics of Composite Beams. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-14959-2_2.

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Conference papers on the topic "Variational Asymptotic Beam"

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Yu, Wenbin, Vitali Volovoi, Dewey Hodges, and Xianyu Hong. "Validation of the variational asymptotic beam sectional analysis (VABS)." In 19th AIAA Applied Aerodynamics Conference. American Institute of Aeronautics and Astronautics, 2001. http://dx.doi.org/10.2514/6.2001-1530.

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Roy, Sitikantha, and Wenbin Yu. "A Variational-Asymptotic Theory of Smart Slender Structures." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-79587.

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The goal of the present work is to develop an efficient simulation tool with high-fidelity to help the engineers design and analyze smart slender structures with embedded piezoelectric materials. Actuation and sensing capabilities of piezoelectric material embedded in smart beam including geometric nonlinearity will be explored. The dimensional reduction process has been carried out using the powerful Variational Asymptotic Method. Starting from the exact three-dimensional electric-mechanically coupled enthalpy functional, the asymptotical analysis is done on the functional itself with respect
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Yu, Wenbin, Dewey Hodges, Vitali Volovoi, and Eduardo Fuchs. "The Vlasov Theory of the Variational Asymptotic Beam Sectional Analysis." In 45th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics & Materials Conference. American Institute of Aeronautics and Astronautics, 2004. http://dx.doi.org/10.2514/6.2004-1520.

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Hoseini, Hanif S., and Dewey H. Hodges. "Joining 3-D Finite Elements to Variational Asymptotic Beam Models." In 57th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. American Institute of Aeronautics and Astronautics, 2016. http://dx.doi.org/10.2514/6.2016-0200.

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Yu, Wenbin, and Dewey Hodges. "The Timoshenko-like Theory of the Variational Asymptotic Beam Sectional Analysis." In 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. American Institute of Aeronautics and Astronautics, 2003. http://dx.doi.org/10.2514/6.2003-1419.

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Kovvali, Ravi Kumar, and Dewey Hodges. "Verification of the Variational Asymptotic Beam Section (VABS) Analysis for Initially Curved and Twisted Beams." In 52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. American Institute of Aeronautics and Astronautics, 2011. http://dx.doi.org/10.2514/6.2011-1852.

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Ho, Jimmy, Wenbin Yu, and Dewey Hodges. "Energy Transformation to Generalized Timoshenko Form by the Variational Asymptotic Beam Sectional Analysis." In 51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
18th AIAA/ASME/AHS Adaptive Structures Conference
12th. American Institute of Aeronautics and Astronautics, 2010. http://dx.doi.org/10.2514/6.2010-3017.

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Hosking, Nathan S., and Zahra Sotoudeh. "Stress Analysis of Smart Beam Energy Harvesters." In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-65548.

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In this paper, we study fully coupled electromagnetic-elastic behaviors present in the structures of smart beams using variational asymptotic beam sections and geometrically exact fully intrinsic beam equations combined in a consistent theory. We present results for smart beams under various oscillatory loads in both the axial and transverse directions and calculate the corresponding deformations. Recovery equations are employed to construct the full 3D stress and strain components in order to complete a full stress / strain analysis. Smart materials change mechanical energy to electrical ener
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Hoseini, Hanif, and Dewey H. Hodges. "Aeroelastic Analysis of High Aspect Ratio Wings Using Joined 3D Finite Elements and Variational Asymptotic Beam Models." In 58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. American Institute of Aeronautics and Astronautics, 2017. http://dx.doi.org/10.2514/6.2017-0417.

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Chondros, Thomas G., Andrew D. Dimarogonas, and Jonathan Yao. "Lateral Vibration of a Consistent Continuous Beam With a Crack." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-4180.

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Abstract A continuous cracked beam vibration theory is developed for the lateral vibration of cracked Euler-Bernoulli beams with single-edge or double-edge cracks. The Hu-Washizu-Barr variational formulation was used to develop the differential equation and the boundary conditions of the cracked beam as an one-dimensional continuum. The displacement field about the crack was used to modify the stress and displacement field throughout the bar. The crack was modelled as a continuous flexibility using the displacement field in the vicinity of the crack, found with fracture mechanics methods. The
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