Results 131 to 140 of about 1,850 (185)
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2021
The Euler-Bernoulli beam theory is based on the fundamental hypothesis that the cross sections remain plane and that the normal hypothesis is valid, i.e. a beam is assumed where shear strains of the cross section are explicitly excluded.
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The Euler-Bernoulli beam theory is based on the fundamental hypothesis that the cross sections remain plane and that the normal hypothesis is valid, i.e. a beam is assumed where shear strains of the cross section are explicitly excluded.
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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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On dynamic optimization of Timoshenko beam
Applied Mathematics and Mechanics, 1983The present paper discusses the minimum weight design problem for Timoshenko and Euler beams subjected to multi-frequency constraints. Taking the simply-supported symmetric beam as an example, we reveal the abnormal characteristics of optimal Timoshenko beams, i.e., the frequency corresponding to the first symmetric vibration mode could be higher than ...
Cheng, Keng-tung, Ding, Hua
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Control by Interconnection of the Timoshenko Beam
IFAC Proceedings Volumes, 2003Abstract In this paper, the dynamical control of a mixed finite and infinite dimensional mechanical system is approached within the framework of port Hamiltonian systems. As an applicative example of the presented methodology, a flexible beam, modeled according to the Timoshenko theory, with a mass under gravity field connected to a free end, is ...
Macchelli A., Melchiorri C.
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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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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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The Timoshenko Beam With a Moving Load
Journal of Applied Mechanics, 1968Abstract The problem of a semi-infinite Timoshenko beam of an elastic foundation with a step load moving from the supported end at a constant velocity is discussed. Asymptotic solutions are obtained for all ranges of load speed. The solution is shown to approach the “steady-state” solution, except for three speeds at which the steady ...
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On the Control of Dissipative Viscoelastic Timoshenko Beams
Mediterranean Journal of Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Timoshenko beams with variable‐exponent nonlinearity
Mathematical Methods in the Applied Sciences, 2023In this paper, we consider the following Timoshenko system with a nonlinear feedback having a variable exponent and a time‐dependent coefficient . We establish, for the first time as per our knowledge, explicit energy decay rates for this system depending on both and .
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Temporally inhomogeneous Timoshenko beam equations
Annali di Matematica Pura ed Applicata, 1993We provide a well-posedness result for a fourth order evolution equation in Hilbert space, which is the temporally inhomogeneous version of the Timoshenko beam equation. The method consists in transforming the equation to a convenient second order equation, which is a perturbation, by lower order terms, of a standard wave equation.
AROSIO, Alberto Giorgio +2 more
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