Results 131 to 140 of about 1,812 (185)
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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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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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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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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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Flexural Vibrations and Timoshenko's Beam Theory
AIAA Journal, 1974This paper is a study of flexural elastic vibrations of Timoshenko beams with due allowance for the effects of rotary inertia and shear. Two independent formulations are developed, one based on the concepts proposed by Timoshenko and the other on the extended Rayleigh-Ritz energy method.
AALAMI B., ATZORI, BRUNO
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Control of Planar Networks of Timoshenko Beams
SIAM Journal on Control and Optimization, 1993The present study is concerned with the questions of controllability and stabilizability of planar networks of vibrating beams consisting of several Timoshenko beams connected to each other by rigid joints at all interior nodes of the system. Some of the exterior nodes are either clamped or free; controls may be applied at the remaining exterior nodes ...
Lagnese, J. E. +2 more
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