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考虑叠层压电陶瓷主动杆件的机电耦合效应,建立了压电桁架结构机电耦合有限元动力学模型。给出结构系统检测方程,并分析其动态特性,除位移模态外,得到了系统电势模态。采用独立模态空间控制方法对结构振动进行控制,并进行压电主动杆件的多目标最优配置,除控制能量最小化外,对非控模态的控制溢出和观测溢出最小化是另外两个优化配置目标函数。算例表明分析方法的有效性和可行性。
Considering the electromechanical coupling effect of the active piezoelectric rods, the finite element dynamic model of electromechanical coupling of piezoelectric truss structure is established. The structural system detection equations are given and their dynamic characteristics are analyzed. Besides the displacement modes, the system potential modes are obtained. The independent mode space control method is adopted to control the structure vibration and the multi-objective optimal configuration of the piezoelectric active rod is provided. In addition to minimizing the control energy, the control overflow and the observation overflow of the non-controlled mode are the other two Optimize the configuration of the objective function. The example shows the effectiveness and feasibility of the analysis method.