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Stiffening effects on the free vibration behavior of composite plates with PZT actuators

机译:带有PZT执行器的复合板的自由振动行为的刚度效应

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摘要

The free vibration behavior of thin composite plates with surface bonded piezoelectric patches including stress stiffening effects is investigated. A finite element formulation is presented, based on the Reissner-Mindilin theory and including non-linear strain displacemetn relations, to formulate a free vibration eigenvalue problem in the presence of a geometric stiffness matrix. The case of symmetric laminates and idea linear behavior is assumed for the piezoelectric actuation. Due to the absence of membrane-bending coupling, in-phase applied voltages produce only in pane-induced piezoelectric stress resultants, which are assumed proportional to the applied voltages. Exempts with numerical results for unconstrained pates equipped with piezoelectric actuators show that in plane induced stresses may significantly affect the free vibration behavior.
机译:研究了具有压电结合面的薄复合板的自由振动行为,包括应力增强效应。提出了基于Reissner-Mindilin理论并包含非线性应变位移关系的有限元公式,以在存在几何刚度矩阵的情况下公式化自由振动特征值问题。对于压电致动,假设采用对称层压板和理想的线性行为。由于没有膜弯曲耦合,同相施加的电压仅在玻璃板感应的压电应力结果中产生,并假定它们与施加的电压成比例。配备压电致动器的无约束踏板的数值结果豁免表明,平面感应应力可能会显着影响自由振动行为。

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