基于功率流方法的连续参数系统动力吸振器的优化设计

Optimum design of dynamic vibration absorbers of the continuous parameters system based on power flow

针对附加动力吸振器的连续参数系统,采用两端固支梁模拟连续参数主振系,利用结构导纳理论,引入振动系统的结构导纳修正矩阵和等价结构导纳矩阵,简化了系统的动态特性分析过程。在此基础上,推导系统各环节功率流的矩阵表达式。提出了以注入主阵系的净功率流为控制目标的动力吸阵器优化设计策略,并通过计算数值仿真验证了该方法的有效性。最后,探讨了振源位置对连续参数系统功率流传递特性、吸振器优化参数及其控制效果的影响。

In accordance with a continuous parameters vibration system with dynamic vibration absorbers (DVAs), an equivalent admittance matrix and a correctional one are defined on the basis of the theories of structure mobility, and the process of dynamic analysis of the complex system is simplified. On the condition, those power flow inputted the system from vibration source, transmitted to major structure and absorbed by sub-structure are deduced. Furthermore, regarding the net power flow of main vibration system as the controlled object, discussed profoundly are the optimal design strategy of one or several absorbers controlled single or multiple models of the continuous parameters system, and it is validated by numerical calculus with computer. Finally, studied is the position of the vibration source influence to the transfer characteristic of power flow in vibration system and to the optimum parameters and control effect of absorbers.