Results 11 to 20 of about 1,955 (219)
On a Nonhomogeneous Timoshenko System with Nonlocal Constraints [PDF]
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.
Said Mesloub, Faten Aldosari
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Classical solutions of the Timoshenko system [PDF]
Advances in Differential Equations, 2002 We prove the existence and uniqueness of a $C^2$--solution of the Timoshenko system for the motion of an elastic beam. In addition, we give pointwise estimates for the displacement, rotation, shear angle and their derivatives with constants explicitly calculated. The method of proof is based on the Hille--Yosida operator theory.
Ronald Grimmer, Eugenio Sinestrari
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Discrete Energy behavior of a damped Timoshenko system [PDF]
Computational and Applied Mathematics, 2019 8 ...
Sabrine Chebbi, Makram Hamouda
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Timoshenko systems with indefinite damping [PDF]
Journal of Mathematical Analysis and Applications, 2007 AbstractWe consider the Timoshenko system in a bounded domain (0,L)⊂R1. The system has an indefinite damping mechanism, i.e. with a damping function a=a(x) possibly changing sign, present only in the equation for the rotation angle. We shall prove that the system is still exponentially stable under the same conditions as in the positive constant ...
Jaime E. Muñoz Rivera, Reinhard Racke
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Electronic Journal of Differential Equations, 2012 In this article, we, first, consider a vibrating system of Timoshenko type in a one-dimensional bounded domain with an infinite history acting in the equation of the rotation angle.
Aissa Guesmia +2 more
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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.
Monica Conti +2 more
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Analysis of the thermoviscoelastic Timoshenko system with diffusion effect
Partial Differential Equations in Applied Mathematics, 2021 This paper is concerned with a new Timoshenko beam model with thermal, mass diffusion and viscoelastic effects. First, by the C0-semigroup theory, we prove the well posedness of the considered problem with Dirichlet boundary conditions.
M. Elhindi, T. EL Arwadi
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Regularity for the Timoshenko system with fractional damping
Journal of Engineering Research, 2023 17 pages.
Fredy Maglorio Sobrado Suárez
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On the stability of Timoshenko systems with Gurtin-Pipkin thermal law
Journal of Differential Equations, 2013 We analyze a differential system describing a Timoshenko beam coupled with a temperature evolution of Gurtin-Pipkin type. A necessary and sufficient condition for exponential stability is established in terms of the structural parameters of the equations.
Filippo Dell’Oro, Vittorino Pata
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Energy decay for Timoshenko systems of memory type
Journal of Differential Equations, 2003 AbstractLinear systems of Timoshenko type equations for beams including a memory term are studied. The exponential decay is proved for exponential kernels, while polynomial kernels are shown to lead to a polynomial decay. The optimality of the results is also investigated.
Farid Ammar-Khodja +3 more
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