中文摘要：

针对附加动力吸振器的简支矩形薄板，利用结构导纳理论，推导出了集中简谐力偶作用下系统各环节的功率流表达式，揭示了力偶的作用机理和动力吸振器的吸振机理。在此基础上，以控制频率范围内输入主振系的净功率流最大值为目标函数，探讨了单个吸振器和多个吸振器的优化设计问题，并分析了吸振器安装位置对控制效果的影响。功率流表达式的推导和吸振器优化设计的研究为弹性体在力偶作用下的吸振控制提供了理论基础和设计方法。

英文摘要：

Using the structural mobility theory, the paper derived the power flow expressions for the simple-support rectangular thin plate with a dynamic vibration absorber under concentrated harmonic force-coupling, and presented the action mechanism of the force-coupling and the vibration absorber＇s control mechanism. Furthermore, with the maximum value of the net power flow input to a main vibration system within a control frequency range regarded as its target function, the paper discussed the optimal design of a single absorber and multiple absorbers respectively and analyzed the influence of the vibration absorber installation positions on its control effect. The work done in the paper provides a theory and design method for the vibration absorption control of an elastic object under force-coupling.