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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 +2 more
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On a Nonhomogeneous Timoshenko System with Nonlocal Constraints
Journal of Function Spaces, 2021 Our main concern in this paper is to prove the well posedness of a nonhomogeneous Timoshenko system with two damping terms. The system is supplemented by some initial and nonlocal boundary conditions of integral type. The uniqueness and continuous dependence of the solution on the given data follow from some established a priori bounds, and the proof ...
Said Mesloub, Faten Aldosari
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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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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 +3 more
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Discrete energy behavior of a damped Timoshenko system [PDF]
Computational and Applied Mathematics, 2019 8 ...
Chebbi Sabrine, Hamouda Makram
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Timoshenko systems with indefinite damping
Journal of Mathematical Analysis and Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Muñoz Rivera, Jaime E., Racke, Reinhard
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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 ...
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Nonlinear boundary stabilization for Timoshenko beam system
Journal of Mathematical Analysis and Applications, 2015 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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Classical solutions of the Timoshenko system
Advances in Differential Equations, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grimmer, R., Sinestrari, E.
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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. +2 more
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