Lyapunov exponents of parametrically coupled linear two-DOF stochastic systems and related stability problems
✍ Scribed by Meziane Labou; Tian-Wei Ma
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 565 KB
- Volume
- 325
- Category
- Article
- ISSN
- 0022-460X
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✦ Synopsis
The almost-sure asymptotic stability of elastic systems subjected to parametric excitation is studied. The excitation consists of a harmonic function on which a stochastic term is superposed. The effect of the parametric action on the stability of a coupled system of differential equations is studied. By means of stochastic transformations of state norm process, the stability boundaries are determined using the stochastic averaging method and a technique due to Khasminskii. As an application, the problem of coupled flexural-torsional instability of a deep rectangular beam in the presence of fluctuating axial loads and end moments is considered.