Results 21 to 30 of about 3,411 (222)

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., Bastos, W. D., Santos, M. L.   +2 more
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Asymptotics and stabilization for dynamic models of nonlinear beams; pp. 150–155 [PDF]

Proceedings of the Estonian Academy of Sciences, 2010
We prove that the von Kármán model for vibrating beams can be obtained as a singular limit of a modified Mindlin–Timoshenko system when the modulus of elasticity in shear k tends to infinity, provided a regularizing term through a fourth-order ...
Fágner D. Araruna, Pablo Braz e Silva, Enrique Zuazua   +2 more
doaj   +1 more source

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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Existence and general stabilization of the Timoshenko system of thermo-viscoelasticity of type III with frictional damping and delay terms

Advances in Nonlinear Analysis, 2018
In this paper, we consider the following Timoshenko system of thermo-viscoelasticity of type III with frictional damping and delay terms:
Chen Miaomiao, Liu Wenjun, Zhou Weican
doaj   +1 more source

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, M. A. Jorge Silva, T. F. Ma, J. E. Muñoz Rivera   +3 more
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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
doaj   +1 more source

Thermal Timoshenko beam system with suspenders and Kelvin–Voigt damping [PDF]

, 2023
In the present study, we consider a thermal-Timoshenko-beam system with suspenders and Kelvin–Voigt damping type, where the heat is given by Cattaneo's law. Using the existing semi-group theory and energy method, we establish the existence and uniqueness
Soh Edwin Mukiawa, McSylvester Ejighikeme Omaba, Yasir Khan, Cyril Dennis Enyi, Hamdan Al Sulaimani   +4 more
core   +1 more source

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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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
openaire   +1 more source

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
doaj   +1 more source