Abstract: A universal formula for optimal control performance of n-grade tuned mass dampers is established. At first, two optimization methods, including fixed point method and numerical method, were described. Then, a general-purpose optimization program was developed using MATLAB code. The optimized parameters of different type of tuned mass dampers were calculated using the program for a main system of single degree of freedom. The results indicate that the optimized tuned mass dampers can suppress the vibration of the main system effectively. The optimal methods and some conclusions presented in this paper are useful for tuned mass damper design.

Key words: vibration and wave, tuned mass damper, modeling, parameter optimization, optimum design.

摘要： 详细论述动力吸振器的建模过程，并给出n级并联和n级串联式动力吸振器优化的通用模型。介绍动力吸振器的定点优化和数值优化两种优化方法。在此基础上使用Matlab语言编写通用的动力吸振器优化程序。利用该程序对某主系统的各类动力吸振器(单级、2级并联和3级并联式)进行参数优化。优化结果表明，安装优化后的动力吸振器后，主系统的共振峰可以显著地减小。文中给出的优化方法及相关结论，对动力吸振器的优化设计具有一定的工程实践意义。

关键词: 振动与波, 动力吸振器, 建模, 参数优化, 优化设计