Dynamics and magneto-rheological control of vibration of cantilever Timoshenko beam under earthquake loads

作者：Ndemanou B P; Metsebo J; Nbendjo B R Nana^*; Woafo P

来源：Nonlinear Dynamics, 2014, 78(1): 163-171.

DOI：10.1007/s11071-014-1429-7

• Cantilever Timoshenko beam
• MR damper
• Earthquake excitation
• Method of lines
• Routh-Hurwitz criterion

The problem of minimizing the dynamics response of a damped cantilever Timoshenko beam subjected to earthquake excitation is investigated in this paper. The ground acceleration is expressed in terms of a Fourier series that is modulated by an enveloping function. The method of lines and modal approach are developed for analyzing the eigenvalues and the flexural vibrations. A magneto rheological damper is proposed to reduce the vibration of the structure. The device is localized at a specific point of the beam. A modal shape which characterizes the vibration of the uncontrolled and controlled system is obtained. The condition of stability of the controlled system is derived using the Routh-Hurwitz criterion.

• 出版日期2014-10