In the present study, an accurate model is used for analyzing asymmetric shaft with misalignment and under unbalance forces in rotating coordinates verified by developing experimental test.The rotor modeled Timoshenko beam theory coupled to a motor.The differential equations of motion are discretized Rayleigh-Ritz method derived from Hamilton's principle. Thereafter, According results, frequenc...

in this paper, nonlinear vibration and instability response of an embedded pipe conveying viscose fluid is investigated. the pipe is considered as a timoshenko beam embedded on an elastic foundation which is simulated by spring constant of the winkler-model and the shear constant of the pasternak-model. the external flow force, acting on the beam in the direction of the flexural displacement is...

In this paper we analyze the numerical approximation of an active vibration control problem of a Timoshenko beam. In order to avoid locking, we focus on the finite element method used to compute the beam vibration, to minimize it. Optimal order error estimates are obtained for the control variable, which is the amplitude of secondary forces modeled as Dirac’s delta distributions. These estimate...

Analysis of the free and forced vibration responses beams is one most critical problems to be examined in design step these structural members. The finite-element method which solves boundary value can applied efficiently problems. In this study, natural frequency damped undamped transient analyses pinned-pinned are investigated. well-known software packages, ANSYS SAP2000, used. 2-D elastic be...

We consider a nonlinear model for a thermoelastic beam that can enter in contact with obstacles. We first prove the well-posedness of this problem. Next, we propose a discretization by Euler and Crank-Nicolson schemes in time and finite elements in space and perform the a priori analysis of the discrete problem. Some numerical experiments confirm the interest of this approach. Résumé: Nous cons...

This article presents a new beam model that employs recursive derivation procedure enables the user to set order of governing differential equations as an input parameter, without need for ad hoc assumptions or methodologies. novel system kinematic variables, section constants, and functions facilitate development higher-order models retain clear philosophical link classical such Euler–Bernoull...

A semi-analytical method is used to illustrate the behavior of a multimodal nonlinear electromechanical system which is under base-excitation. System is considered as piezo-ceramic patches attached to a cantilever beam coupled to a resistive load. The cantilever beam is modeled as a nonlinear Timoshenko beam using Assumed Mode method and equations of motion are derived through Lagrange's equati...