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Vibration of Non-linear System under Random Parametric Excitations by Probabilistic Method  

Lee, Sin-Young (군산대학교 기계공학부)
Publication Information
Journal of the Korean Society for Precision Engineering / v.23, no.12, 2006 , pp. 72-79 More about this Journal
Abstract
Vibration of a non-linear system under random parametric excitations was evaluated by probabilistic methods. The non-linear characteristic terms of a system structure were quasi-linearized and excitation terms were remained as they were An analytical method where the square mean of error was minimized was used An alternative method was an energy method where the damping energy and restoring energy of the linearized system were equalized to those of the original non-linear system. The numerical results were compared with those obtained by Monte Carlo simulation. The comparison showed the results obtained by Monte Carlo simulation located between those by the analytical method and those by the energy method.
Keywords
Nonlinear system; Parametric excitation; Probabilistic method; Square of mean of error; Monte Carlo simulation;
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Times Cited By KSCI : 3  (Citation Analysis)
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