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Boundary exact controllability for a porous elastic Timoshenko system
Applications of Mathematics, 2020In this paper, the authors consider the boundary exact controllability of a one-dimensional Timoshenko-type beam fixed at right end and at left end two controls act on the transverse displacement and the rotation angle, respectively. By using the HUM method, the authors prove that the system is boundary exactly controllable in the usual energy space ...
Santos, Manoel J. +2 more
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Applicability of Damped Outrigger Systems Using Timoshenko Beam Theory
International Journal of Structural Stability and Dynamics, 2022Recently, applying damped outriggers in high-rise buildings to reduce vibration due to earthquake and wind has attracted a lot of attention. By placing energy dissipated devices vertically between the end of outriggers and perimeter columns, the damped outrigger systems emphasize the supplementary damping rather than stiffness. This paper investigates
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A boundary obstacle problem for the Mindlin–Timoshenko system
Mathematical Methods in the Applied Sciences, 2008AbstractWe consider the dynamical one‐dimensional Mindlin–Timoshenko model for beams. We study the existence of solutions for a contact problem associated with the Mindlin–Timoshenko system. We also analyze how its energy decays exponentially to zero as time goes to infinity. Copyright © 2008 John Wiley & Sons, Ltd.
Araruna, F. D. +2 more
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Timoshenko beams and flexible multibody system dynamics
Journal of Sound and Vibration, 1987A method for the dynamic analysis of flexible multibody systems that accounts for rotary inertia and shear deformation effects is presented. Flexible components in the system are discretized by using the finite element method. Because of the large rotations of the system components, a set of reference co-ordinates are employed to describe the motion of
E.M. Bakr, A.A. Shabana
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Stabilization of coupled nonuniform Timoshenko beam system
Nonlinear Analysis: Theory, Methods & Applications, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hou, Shui-Hung +2 more
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Shearing Viscoelasticity in Partially Dissipative Timoshenko–Boltzmann Systems
SIAM Journal on Mathematical AnalysiszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eduardo H. Gomes Tavares +3 more
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Dual Variables System Analysis for Timoshenko Beam
Applied Mechanics and Materials, 2013Regarding the displacements and internal forces of Timoshenko beams as dual variables, Timoshenko beam problems were included into dual variables system. Corresponding to state transfer solution of Hamiltonian dual equation, transfer form solution of dual variables for Timoshenko beams was presented.
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Dynamics of the Nonlinear Timoshenko System with Variable Delay
Applied Mathematics & Optimization, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Xin-Guang +2 more
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Energy decay to Timoshenko system with indefinite damping
Mathematical Methods in the Applied Sciences, 2019We consider the classical Timoshenko system for vibrations of thin rods. The system has an indefinite damping mechanism, ie, it has a damping function a=a(x) possibly changing sign, present only in the equation for the vertical displacement. We shall prove that exponential stability depends on conditions regarding of the indefinite damping function a ...
Luci H. Fatori +3 more
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Discrete energy behavior of Timoshenko system with Cattaneo’s law
Computational and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali Smouk, Atika Radid
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