Abstract
The response of visco-elastic system to combined deterministic harmonic and random excitation was investigated. The method of harmonic balance and the method of stochastic averaging were used to determine the response of the system. The theoretical analysis was verified by numerical results. Theoretical analyses and numerical simulations show that when the intensity of the random excitation increase, the nontrivial steady state solution may change from a limit cycle to a diffused limit cycle. Under some conditions the system may have two steady solutions and jumps may exist.
Original language | English |
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Pages (from-to) | 61-67 |
Number of pages | 7 |
Journal | Applied Mathematics and Mechanics (English Edition) |
Volume | 24 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2003 |
Keywords
- Method of harmonic balance
- Method of stochastic averaging
- Visco-elastic system