Asymptotic construction of nonlinear normal modes for continuous systems
โ Scribed by I. V. Andrianov
- Publisher
- Springer Netherlands
- Year
- 2007
- Tongue
- English
- Weight
- 245 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0924-090X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In 8 , the authors used normal form theory to construct Lyapunov functions for critical nonlinear systems in normal form coordinates. In this work, the authors expand on those ideas by providing a method for constructing the associated normal form transformations that gives rise to the systematic de
A power series method is presented for the computation of normal modes and frequencies of an elastic beam resting on a non-linear foundation. The equation of motion is first discretized by using the Galerkin procedure. The time-dependent generalized co-ordinates are obtained by transforming the time
A new criterion is established for global asymptotic stability of second-order systems modeled by equations of the type = cr(Ax), where a is the saturation function. The derivation is based on the Bendixon's theorem on limit cycles and a closer study of the trajectories of the systems. Applications