Geometrical Nonlinearity for a Timoshenko Beam with Flexoelectricity
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 +2 more
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Finite Element Modeling for Buckling Analysis of Tapered Axially Functionally Graded Timoshenko Beam on Elastic Foundation [PDF]
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
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About the stability to Timoshenko system with pointwise dissipation
In this paper we study the Timoshenko model over the interval \begin{document}$ (0, \ell) $\end{document} with pointwise dissipation at \begin{document}$ \xi\in (0, \ell) $\end{document}. We prove that this dissipation produces exponential stability when
J. Rivera, M. G. Naso
semanticscholar +1 more source
Asymptotics and stabilization for dynamic models of nonlinear beams; pp. 150–155 [PDF]
We prove that the von Kármán model for vibrating beams can be obtained as a singular limit of a modified MindlinâTimoshenko system when the modulus of elasticity in shear k tends to infinity, provided a regularizing term through a fourth-order ...
Fágner D. Araruna +2 more
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Non-Homogeneous Thermoelastic Timoshenko Systems
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 +3 more
openaire +2 more sources
Exponential Stability for a Nonlinear Timoshenko System with Distributed Delay
. This paper is concerned with a nonlinear Timoshenko system modeling clamped thin elastic beams with distributed delay time. The distributed delay is defined on feedback term associated to the equation for rotation angle.
Fahima Hebhoub, Sabrina, Benferdi
semanticscholar +1 more source
Nonlinear boundary stabilization for Timoshenko beam system
This paper is concerned with the existence and decay of solutions of the following Timoshenko system: $$ \left\|\begin{array}{cc} u"- (t) u+ _1 \displaystyle\sum_{i=1}^{n}\frac{\partial v}{\partial x_{i}}=0,\, \in \times (0, \infty),\\ v"- v- _2 \displaystyle\sum_{i=1}^{n}\frac{\partial u}{\partial x_{i}}=0, \, \in \times (0, \infty), \end ...
A.J.R. Feitosa +2 more
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General decay in a Timoshenko-type system with thermoelasticity with second sound
In this article, we consider a vibrating nonlinear Timoshenko system with thermoelasticity with second sound. We discuss the well-posedness and the regularity of solutions using the semi-group theory.
Ayadi Mohamed Ali +3 more
doaj +1 more source
Uncertainty Quantification in Modeling of Steel Structures using Timoshenko Beam [PDF]
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
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Classical solutions of the Timoshenko system
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grimmer, R., Sinestrari, E.
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