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中文摘要：
该文对密集频率柔性板的模型降阶和主动控制进行研究,其中动力学建模采用有限元方法,模型降阶采用内平衡降阶准则,控制设计采用最优控制方法。研究中将内平衡降阶方法和模态价值降阶方法进行了数值对比研究。仿真结果显示,内平衡模型降阶方法是一种有效的模型降阶方法,能够处理密频情况下的模型降阶问题。
英文摘要：
Model reduction and active control of a flexible plate with dense frequencies are investigated. Firstly, dynamic model of the plate is established using the finite element method; then the balanced reduction method is applied to get a lower-order model; finally an active controller is designed using the optimal control method. The balanced reduction method is numerically compared with the modal cost analysis （MCA） method. Simulation results indicate that, the balanced reduction method is effective in reducing the degree of freedom of the plate, and is applicable for dense-frequency case.
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