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Piezo-control of forced vibrations of a thermoelastic composite plate

机译：热弹性复合板强迫振动的压电控制

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In this paper equations governing the linear response of piezothermoelastic plate are outlined based on the Hamilton's principle and finite element methods. Linear shape functions are used and the first-order shear deformation theory of laminated plates is considered. The governing equations are solved using the Newmark time marching method. The numerical results are presented for cases of a prescribed thermal loading and the conventional piezo-control of the forced vibrations in a thermoelastic composite plate caused by sudden mechanical loading. Vibration amplitudes are suppressed through application of electric potential differences across the piezoelectric layers attached to the surfaces of the composite plate. Controlled and uncontrolled responses are compared graphically. The numerical studies demonstrate the effectiveness of thermal environment, as well as the piezo-control of these thermal deformations using piezoelectric structures. It is found that the displacements caused by the temperature effects are important in the precision of piezo-control systems.
机译：本文基于汉密尔顿原理和有限元方法，概述了控制热弹性板线性响应的方程式。使用线性形状函数并考虑了层压板的一阶剪切变形理论。使用Newmark时间行进法求解控制方程。对于规定的热负荷和由突然的机械负荷引起的热弹性复合板中的常规振动的常规压电控制，给出了数值结果。通过在附着于复合板表面的压电层上施加电势差，可以抑制振动幅度。图形化地比较了受控响应和非受控响应。数值研究证明了热环境的有效性，以及使用压电结构对这些热变形的压电控制。发现由温度效应引起的位移对于压电控制系统的精度很重要。

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