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RESPONSE OF A DUFFING OSCILLATOR TO COMBINED DETERMINISTIC HARMONIC AND RANDOM EXCITATION

✍ Scribed by R. HAIWU; X. WEI; M. GUANG; F. TONG

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
230 KB
Volume
242
Category
Article
ISSN
0022-460X

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✦ Synopsis

The response of Du$ng oscillator to combined deterministic harmonic and random excitation is investigated. The method of harmonic balance and the method of stochastic averaging are used to determine the response of the system. Theoretical analyses and numerical simulations show that when the intensity of the random excitation increases, the non-trivial steady state solution may change from a limit cycle to a di!used limit cycle. Under some conditions, the system may have two steady state solutions and jumps may exist.

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