Stability of Cantilevered Beams Subjected to Random Follower Forces

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Amani, Pourya | 2011

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 42311 (45)
University: Sharif University of Technology
Department: Aerospace Engineering
Advisor(s): Haddadpour, Hassan
Abstract:
In Mechanical systems there is always possibility of statical and dynamical following force. These forces are generated due to aerodynamic pressure, temperature gradient, and jet thrusters. In unstabel systems, if the value of this force exceeds a certaim amount the system becomes unstable. This value is called as critical force. In order to analyse these systems, fisrt of all, the governing dynamic equations are obtained by using the Galerkin-Ritz method. Then, by utilising the modal analysis, these equation are uncoupled. And then, the Ito set of equations are derived. By utilising the Lyapanov method, Ito equations are transfered to another state. and using the fokker-planc equation the density probabality function is obtained and finally, the stability of beam is analysed
Keywords:
Fokker-Planck Equation ; Probability Density Function ; Follower Force ; Cantilever Beam

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