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通过圆形钳制薄板的大变形提供非线性动力吸振器的立方非线性刚度,建立圆形薄板与悬臂梁相耦合的非线性动力吸振系统数学模型。结合谐波平衡法与数值计算方法,探讨非线性动力吸振器的动力学特性。与等价线性吸振器相比较,发现非线性是高阶共振峰离开吸振频率往高频移动的诱因,因此非线性动力吸振器在相对较小的质量下具有相对较宽的吸振频带。与此同时,通过对结构响应和吸振性能的灵敏度分析,找出并优化系统的敏感参数。
The cubic nonlinear dynamic stiffness of the nonlinear dynamic vibration absorber is provided by the large deformation of the circular clamp plate, and the mathematical model of the nonlinear dynamic vibration absorber coupled with the circular plate and the cantilever beam is established. Combined with harmonic balance method and numerical calculation method, the dynamic characteristics of nonlinear dynamic vibration absorber are discussed. Compared with the equivalent linear vibration absorber, the non-linearity is found to be a factor inducing higher-order formant to move away from the vibration absorption frequency toward high-frequency. Therefore, the nonlinear dynamic vibration absorber has a relatively wide vibration absorption band at a relatively small mass. At the same time, the sensitive parameters of the system are identified and optimized through the sensitivity analysis of structural response and vibration absorption performance.