Results 21 to 30 of about 1,955 (219)
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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Stability of Timoshenko systems with past history [PDF]
Journal of Mathematical Analysis and Applications, 2008 We consider vibrating systems of Timoshenko type with past history acting only in one equation. We show that the dissipation given by the history term is strong enough to produce exponential stability if and only if the equations have the same wave speeds. Otherwise the corresponding system does not decay exponentially as time goes to infinity.
Hugo D. Fernández Sare +1 more
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Decay rate of the solutions to the Lord Shulman thermoelastic Timoshenko model
AIMS Mathematics, 2023 In this work, we deal with a one-dimensional Cauchy problem in Timoshenko system with thermal effect and damping term. The heat conduction is given by the theory of Lord-Shulman.
Abdelbaki Choucha +3 more
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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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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
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Stability analysis of abstract systems of Timoshenko type [PDF]
Journal of Evolution Equations, 2016 We consider an abstract system of Timoshenko type $$ \begin{cases} _1{\ddot } + a A^{\frac12}(A^{\frac12} + ) =0\\ _2{\ddot } + b A + a (A^{\frac12} + ) - A^ = 0\\ _3{\dot } + c A + A^ {\dot } =0 \end{cases} $$ where the operator $A$ is strictly positive selfadjoint.
DANESE, VALERIA +2 more
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Global stability for damped Timoshenko systems
Discrete & Continuous Dynamical Systems - A, 2003 We consider a nonlinear Timoshenko system as an initial-boundary value problem in a one-dimensional bounded domain. The system has a dissipative mechanism through frictional damping being present only in the equation for the rotation angle. We first give an alternative proof for a sufficient and necessary condition for exponential stability for ...
Jaime E. Muñoz Rivera, Reinhard Racke
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Finite element model of circularly curved Timoshenko beam for in-plane vibration analysis [PDF]
FME Transactions, 2021 Curved beams are used so much in the arches and railway bridges and equipments for amusement parks. There are few reports about the curved beam with the effects of both the shear deformation and rotary inertias.
Nadi Azin, Raghebi Mehdi
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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
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On the stability of Bresse and Timoshenko systems with hyperbolic heat conduction [PDF]
Journal of Differential Equations, 2021 We investigate the stability of three thermoelastic beam systems with hyperbolic heat conduction. First, we study the Bresse-Gurtin-Pipkin system, providing a necessary and sufficient condition for the exponential stability and the optimal polynomial decay rate when the condition is violated.
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