摘要
研究了Duffing振子在谐和与随机噪声联合激励下的响应和稳应性问题。用谐波平衡法分析了系统在确定性谐和激励和随机激励联合作用下的响应 ,用随机平均法讨论了随机扰动项对系统晌应的影响。在一定条件下 ,系统具有两个均方响应值和跳跃现象。数值模拟表明本文提出的方法是有效的。
The resonance of Duffing oscillator to combined 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. The theoretical analyses are verified by numerical results. Theoretical analyses and numerical simulations show that the intensity of the random excitation increase, the nontrivial seady state solution may change form a limit cycle to a diffused limit cycle. Under some conditions the system may have two steady state solutions and jumps may exits.
出处
《应用力学学报》
CAS
CSCD
北大核心
2001年第4期32-36,共5页
Chinese Journal of Applied Mechanics
基金
国家自然科学基金
广东省自然科学基金
佛山科学技术学院重点课题资助项目
