Results 11 to 20 of about 1,612 (181)

A transmission problem for the Timoshenko system [PDF]

Computational & Applied Mathematics, 2007
In this work we study a transmission problem for the model of beams developed by S.P. Timoshenko [10]. We consider the case of mixed material, that is, a part of the beam has friction and the other is purely elastic. We show that for this type of material, the dissipation produced by the frictional part is strong enough to produce exponential decay of ...
Raposo, C. A., Bastos, W. D., Santos, M. L.   +2 more
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Geometrical Nonlinearity for a Timoshenko Beam with Flexoelectricity

Nanomaterials, 2021
The Timoshenko beam model is applied to the analysis of the flexoelectric effect for a cantilever beam under large deformations. The geometric nonlinearity with von Kármán strains is considered.
Miroslav Repka, Jan Sladek, Vladimir Sladek   +2 more
doaj   +1 more source

Finite Element Modeling for Buckling Analysis of Tapered Axially Functionally Graded Timoshenko Beam on Elastic Foundation [PDF]

Mechanics of Advanced Composite Structures, 2020
In this study, an efficient finite element model with two degrees of freedom per node is developed for buckling analysis of axially functionally graded (AFG) tapered Timoshenko beams resting on Winkler elastic foundation.
Masoumeh Soltani
doaj   +1 more source

Timoshenko systems with fading memory [PDF]

Dynamics of Partial Differential Equations, 2013
The decay properties of the semigroup generated by a linear Timoshenko system with fading memory are discussed. Uniform stability is shown to occur within a necessary and sufficient condition on the memory kernel.
CONTI, MONICA, DELL'ORO, FILIPPO, PATA, VITTORINO   +2 more
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Asymptotics and stabilization for dynamic models of nonlinear beams; pp. 150–155 [PDF]

Proceedings of the Estonian Academy of Sciences, 2010
We prove that the von Kármán model for vibrating beams can be obtained as a singular limit of a modified Mindlin–Timoshenko system when the modulus of elasticity in shear k tends to infinity, provided a regularizing term through a fourth-order ...
Fágner D. Araruna, Pablo Braz e Silva, Enrique Zuazua   +2 more
doaj   +1 more source

Timoshenko Beams and the Hamiltonian System

IOP Conference Series: Earth and Environmental Science, 2020
Abstract The significance of the transition from Lagrangian system to Hamiltonian system lies in that it has entered the form of symplectic geometry from the traditional Euclidean geometry and broken through the traditional concept, so that the dual mixed variable method has entered into the vast field of applied mechanics.
WX Zhang, LM Yang
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Existence and general stabilization of the Timoshenko system of thermo-viscoelasticity of type III with frictional damping and delay terms

Advances in Nonlinear Analysis, 2018
In this paper, we consider the following Timoshenko system of thermo-viscoelasticity of type III with frictional damping and delay terms:
Chen Miaomiao, Liu Wenjun, Zhou Weican
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Non-Homogeneous Thermoelastic Timoshenko Systems

Bulletin of the Brazilian Mathematical Society, New Series, 2017
The authors consider the problem \[ \begin{cases} \rho_1\varphi _{tt}-\left( k(\varphi _{x}+\psi )\right) _x+\left(m\theta \right) _{x}=0,\;\text{ in }(0,l)\times \mathbb{R}^{+}, \\ \rho _{2}\psi _{tt}-\left( b\psi _{x}\right) _{x}+k(\varphi _{x}+\psi )-m\theta =0,\;\text{ in }(0,l)\times \mathbb{R}^{+}, \\ \rho _{3}\theta _{t}-\left( c\theta _{x ...
M. S. Alves, M. A. Jorge Silva, T. F. Ma, J. E. Muñoz Rivera   +3 more
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Uncertainty Quantification in Modeling of Steel Structures using Timoshenko Beam [PDF]

Journal of Structural and Construction Engineering, 2019
This paper quantifies the uncertainty emanated from modeling steel structures using a Timoshenko beam. Using continuous beams to model building structures is a conventional approach in structural dynamic analyses.
Mahdi Naderi, Mojtaba Mahsuli
doaj   +1 more source

Conservative Semidiscrete Difference Schemes for Timoshenko Systems [PDF]

Journal of Applied Mathematics, 2014
We present a parameterized family of finite-difference schemes to analyze the energy properties for linearly elastic constant-coefficient Timoshenko systems considering shear deformation and rotatory inertia. We derive numerical energies showing the positivity, and the energy conservation property and we show how to avoid a numerical anomaly known as ...
openaire   +4 more sources