First-passage time for randomly excited non-linear oscillators
β Scribed by J.B. Roberts
- Book ID
- 108358350
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 817 KB
- Volume
- 109
- Category
- Article
- ISSN
- 0022-460X
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π SIMILAR VOLUMES
The exact differential equation for the energy envelope of a randomly excited non-linear oscillator is approximated by a time-averaging procedure. The resulting equation shows that, if the damping is sufficiently light and the correlation time scale of the excitation process is sufficiently small, t
The response of a non-linear oscillator of the form x¨+ f(A, B, x) = og (E, m, w, k, t), where f(A, B, x) is an odd non-linearity and o is small, for A Q 0 and B q 0 is considered. The homoclinic orbits for the unperturbed system are obtained by using Jacobian elliptic functions with the generalized