摘要
研究了二自由度非线性系统在确定性谐和与随机噪声联合激励下的主共振响应。用多尺度法分离了系统的快变项 ,讨论了系统的阻尼项、随机项等对系统响应的影响。在一定条件下 ,系统具有两个均方响应值和跳跃现象 ,饱和现象也存在。
The principal resonance of a two degree of freedom nonlinear system due to deterministic and random excitations is investigated. The method of multiple scales is used to determine the equations of modulation of amplitude and phase. The behavior, stability and bifurcation of steady state response are studied by means of qualitative analyses. The effects of damping, detuning, bandwidth, and magnitudes of deterministic and random excitations are analyzed also. The theoretical analyses are verified by numerical results. Theoretical analyses and numerical simulations show that as the intensity of the random excitation increase, the nontrivial steady state solution may change form a limit cycle to a diffused limit cycle. Under some conditions the system may have two steady state solutions; saturation and jumps may exist.
出处
《应用力学学报》
CAS
CSCD
北大核心
2002年第2期18-21,共4页
Chinese Journal of Applied Mechanics
