作　　者： ; ; ;

机构地区： 西北工业大学理学院应用数学系

出　　处： 《应用数学和力学》 2003年第9期963-972,共10页

摘　　要： 　研究了带visco＿elastic项的非线性系统,在谐和与有界噪声联合参激作用下的响应和稳定性问题·　用多尺度法分离了系统的快变项,并求出了系统的最大Liapunov指数和稳态概率密度函数,根据最大Liapunov指数可得系统解稳定的充分必要条件·　讨论了系统的visco＿elastic项对系统阻尼项和刚度项的贡献。 The principal resonance of a visco_elastic systems under both deterministic and random parametric excitation was investigated. The method of multiple scales was used to determine the equations of modulation of amplitude and phase. The behavior, stability and bifurcation of steady state response were studied by means of qualitative analysis. The contributions from the visco_elastic force to both damping and stiffness can be taken into account. The effects of damping, detuning, bandwidth, and magnitudes of deterministic and random excitations were analyzed. The theoretical analysis is verified by numerical results.

关 键 词： 参数主共振 项 多尺度法 最大 指数 分岔

领　　域： [理学] [理学]