基于分布式压电片的圆柱壳结构振动功率流主动控制研究

Active control of the power flow put into the cylindrical shell by discretely distributed piezoelectric actuator

对基于压电片作用的圆柱壳结构振动功率流主动控制进行了研究,原始激励假设为周向余弦分布线力形式,使用压电片作为控制激振器。以输入壳体的总功率流为控制目标函数,利用导纳函数将其表示成外加电压的二次型函数形式求解最优控制电压。通过计算分析发现,压电片与原始激励间的轴向距离及压电片周向粘贴位置,都会对控制后输入壳体的总功率流产生较大影响,且影响形式不同。

The active control method of the power put into the cylindrical shell structure by discretely distributed piezoelectric actuator is studied.The shell is stimulated by a cosine harmonic line primary force and the secondary force is applied by using a piezoelectric actuator.The total power flow put into the cylindrical shell structure is calculated and expressed in an equation of Hermitian quadratic form of the applied voltage.With the total power flow put into the shell as the objective function,the optimal value of the applied voltage is obtained.The influence of the position where the piezoelectric actuator is affixed is discussed,the conclusion points out that the axial and circumferential position of the piezoelectric actuator have great influence on the control effect with different forms.