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1 2010

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Numerical studies of dynamic stability under small random parametric excitations

Bobryk R. V. R. V., Chrzeszczyk A.

Computer Assisted Mechanics and Engineering Sciences

2010

Vol. 17, no. 2-3-4

89-97

An efficient numerical procedure is proposed to obtain mean-square stability regions for both single-degree-of-freedom and two-degree-of-freedom linear systems under parametric bounded noise excitation. This procedure reduces the stability problem to a matrix eigenvalue problem. Using this approach, ranges of applicability to the well-known stochastic averaging method are discussed. Numerical results show that the small parameter size in the stochastic averaging method can have a significant effect on the stability regions. The influence of noise on the shape of simple and combination parametric resonances is studied.