It is a very difficult problem to determine the stability of the periodic steady-state vibrations generated in a large-sized nonlinear system with multiple degrees of freedom. In order to overcome such difficulty, a new practical method to accurately analyze the stability of the periodic solutions obtained from the method of harmonic balance is developed for a nonlinear structure connected in series. The present method is mainly based on the argument principle, and is applicable to the stability analysis of any multi-degree-of-freedom system excited parametrically. By introducing the same treatment as that of the incremental transfer influence coefficient method into the computation process of the present method, the computation speed is improved and the memory size required in the computation is considerably reduced.
|Number of pages||8|
|Journal||transactions of the japan society of mechanical engineers series c|
|Publication status||Published - 1994|
All Science Journal Classification (ASJC) codes
- Mechanics of Materials
- Mechanical Engineering
- Industrial and Manufacturing Engineering