主动减振板的数值分析
THE NUMERICAL ANALYSIS OF ACTIVE SUPPRESSING PLATE
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摘要: 本文研究了用压电元件实现主动控制的板的有限元建模。基于机电耦合的变分方程, 建立了求解结构响应的有限元方程。采用速度负反馈,用Newmark-β法仿真了板的振动主动控制。用状态空间分析了阻尼比,讨论增益矩阵与结构动特性阻尼比间的关系以及不同电极划 分对于振动控制的影响。Abstract: This paper is concerned with the finite element modeling of vibrational suppressing plate with piezo-unit. Based on the electromechanical coupling equation of variation, finite element formulation was established. The dynamic response of piezo-plate with velocity negative feedback was simulated using the method of Newmark-β. The damping ratio was analyzed in the state space. The relation of gain matrix and structural dynamic characteristic and effect of different electrode division on vibration control were discussed.