On the amplitude decay of strongly non-linear damped oscillators
โ Scribed by T.D. Burton
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 538 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The multiple scales method, developed for the systems with small non-linearities, is extended to the case of strongly non-linear self-excited systems. Two types of nonlinearities are considered: quadratic and cubic. The solutions are expressed in terms of Jacobian elliptic functions. Higher order ap
The elliptic perturbation method is applied to the study of the periodic solutions of strongly quadratic non-linear oscillators of the form xยจ+ c1 x + c2 x 2 = ef(x, xห), in which the Jacobian elliptic functions are employed. The generalized Van der Pol equation with f(x, xห) = m0 + m1 x -m2 x 2 is