Nonlinear boundary stabilization for Timoshenko beam system
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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Uncertainty Quantification in Modeling of Steel Structures using Timoshenko Beam [PDF]
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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A Modeling approach for analysis and improvement of spindle-holder-tool assembly dynamics [PDF]
The most important information required for chatter stability analysis is the dynamics of the involved structures, i.e. the frequency response functions (FRFs) which are usually determined experimentally.
A. Ertürk +14 more
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Analytical solution of two-layer beam taking into account interlayer slip and shear deformation [PDF]
A mathematical model is proposed and its analytical solution derived for the analysis of the geometrically and materially linear two-layer beams with different material and geometric characteristics of an individual layer.
Goodman J. R. +8 more
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Classical solutions of the Timoshenko system
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Grimmer, R., Sinestrari, E.
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A transmission problem for the Timoshenko system [PDF]
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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Free vibration of a three-layered sandwich beam using the dynamic stiffness method and experiment [PDF]
In this paper, an accurate dynamic stiffness model for a three-layered sandwich beam of unequal thicknesses is developed and subsequently used to investigate its free vibration characteristics.
Banerjee, J. R. +4 more
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Timoshenko Beam Model for Lateral Vibration of Liquid-Phase Microcantilever-Based Sensors [PDF]
Dynamic-mode microcantilever-based devices are potentially well suited to biological and chemical sensing applications. However, when these applications involve liquid-phase detection, fluid-induced dissipative forces can significantly impair device ...
Beardslee, Luke A. +6 more
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Finite element model of circularly curved Timoshenko beam for in-plane vibration analysis [PDF]
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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Global stability for damped Timoshenko systems
A mixed problem for a nonlinear one-dimensional Timoshenko system is studied. In the special linear case, sufficient and necessary conditions are given which guarantee the exponential stability. In more general linear case, the polynomial decay and in the nonlinear case the exponential decay of small solutions are proved.
Muñoz Rivera, Jaime E., Racke, Reinhard
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