两自由度非线性耦合系统振动的局部化

Vibration Localization in a Two-degree-of-freedom System with Nonlinear Coupling

通过将非线性模态方法和摄动技术相结合 ,研究了两自由度非对称三次系统当子系统之间线性耦合退化和非共振时的一种奇异———振动局部化 ,解析地得到了局部化的参数门槛值 .研究结果表明 ,退化系统出现单模态运动 ,振动局部化的强弱与非对称参数和非线性耦合刚度有关 .最后 ,理论分析结果被数值模拟所验证 .

The present paper associates the nonlinear mode method with perturbation technique to investigate a singularity vibration localization in a two degree of freedom sysytem with linear coupling degeneration and non resonance. The threshold value is obtained for the vibration localization. The results represent that a single mode motion occurs in the degenerate system and the vibration localization is associated not only with unsymmetrical parameter, but also with nonlinear coupling stiffness.