Results 171 to 180 of about 1,610,952 (250)
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A microstructure-dependent Timoshenko beam model based on a modified couple stress theory
Journal of the Mechanics and Physics of Solids, 2008H. M. Ma, Xin-Lin Gao, J. Reddy
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2020
Unlike the Bernoulli beam formulation, the Timoshenko beam formulation accounts for transverse shear deformation. It is therefore capable of modeling thin or thick beams. In this chapter we perform the analysis of Timoshenko beams in static bending, free vibrations and buckling. We present the basic formulation and show how a MATLAB code can accurately
Ferreira A. J. M., Fantuzzi N.
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Unlike the Bernoulli beam formulation, the Timoshenko beam formulation accounts for transverse shear deformation. It is therefore capable of modeling thin or thick beams. In this chapter we perform the analysis of Timoshenko beams in static bending, free vibrations and buckling. We present the basic formulation and show how a MATLAB code can accurately
Ferreira A. J. M., Fantuzzi N.
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International Journal of Mechanical Sciences, 2019
In this study, a modified finite element method (FEM) that can be used to analyse the transverse vibrations of a Timoshenko beam, made of functionally graded materials (FGMs), on a two-parameter foundation and subjected to a variable-velocity moving mass
Ismail ESEN
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In this study, a modified finite element method (FEM) that can be used to analyse the transverse vibrations of a Timoshenko beam, made of functionally graded materials (FGMs), on a two-parameter foundation and subjected to a variable-velocity moving mass
Ismail ESEN
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A micro scale Timoshenko beam model for piezoelectricity with flexoelectricity and surface effects
Composite Structures, 2016Y. Yue, K. Xu, T. Chen
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Physica. E, Low-Dimensional systems and nanostructures, 2019
In this paper, the free vibration of viscoelastic nanotube under longitudinal magnetic field is investigated. The governing equation is formulated by utilizing Timoshenko beam model and Kelvin-Voigt model based on the nonlocal strain gradient theory. The
Yaxin Zhen, Shilong Wen, Ye Tang
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In this paper, the free vibration of viscoelastic nanotube under longitudinal magnetic field is investigated. The governing equation is formulated by utilizing Timoshenko beam model and Kelvin-Voigt model based on the nonlocal strain gradient theory. The
Yaxin Zhen, Shilong Wen, Ye Tang
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Dynamics of Laminated Timoshenko Beams
Journal of Dynamics and Differential Equations, 2017The authors describe the long-time dynamics of a Timoshenko system consisting of two identical beams joined by a thin adhesive layer. After some transformations, the authors obtain the coupled system of three evolution equations \(\rho w_{tt}+G\varphi _{x}+g_{1}(w_{t})+f_{1}(w,\xi ,s)=h_{1}\), \(I_{\rho }\xi _{tt}-G\varphi -D\xi _{xx}+g_{2}(\xi _{t ...
Feng, B. +3 more
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Vibrations of Tapered Timoshenko Beams in Terms of Static Timoshenko Beam Functions
Journal of Applied Mechanics, 2000In this paper, the free vibrations of a wide range of tapered Timoshenko beams are investigated. The cross section of the beam varies continuously and the variation is described by a power function of the coordinate along the neutral axis of the beam.
Cheung, YK, Zhou, D
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Journal of Sound and Vibration, 1972
Abstract A Timoshenko beam finite element which is based upon the exact differential equations of an infinitesimal element in static equilibrium is presented. Stiffness and consistent mass matrices are derived. Convergence tests are performed for a simply-supported beam and a cantilever. The effect of the shear coefficient on frequencies is discussed
R. Davis, R.D. Henshell, G.B. Warburton
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Abstract A Timoshenko beam finite element which is based upon the exact differential equations of an infinitesimal element in static equilibrium is presented. Stiffness and consistent mass matrices are derived. Convergence tests are performed for a simply-supported beam and a cantilever. The effect of the shear coefficient on frequencies is discussed
R. Davis, R.D. Henshell, G.B. Warburton
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Journal of Applied Mechanics, 1971
The general problem of Timoshenko beam analysis is solved using the Laplace transform method. Time-dependent boundary and normal loads are considered. It is established that the integrands of the inversion integrals are always single-valued for beams of finite length and modal solutions can always be obtained using the residue theorem.
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The general problem of Timoshenko beam analysis is solved using the Laplace transform method. Time-dependent boundary and normal loads are considered. It is established that the integrands of the inversion integrals are always single-valued for beams of finite length and modal solutions can always be obtained using the residue theorem.
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IMA Journal of Applied Mathematics, 2019
In the current study, we consider the Bresse–Timoshenko type systems and we prove some stability results for time delay cases into setting of so called simplified Bresse–Timoshenko equations (or truncated version of Bresse–Timoshenko equations) according
D. S. A. Júnior +3 more
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In the current study, we consider the Bresse–Timoshenko type systems and we prove some stability results for time delay cases into setting of so called simplified Bresse–Timoshenko equations (or truncated version of Bresse–Timoshenko equations) according
D. S. A. Júnior +3 more
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