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Nonlinear dynamic response and active control of fiber metal laminated plates with piezoelectric actuators and sensors in unsteady temperature field

机译:非稳态温度场中带压电致动器和传感器的金属纤维叠层板的非线性动态响应和主动控制

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摘要

Based on the higher order shear deformation theory and the geometric nonlinear theory, the nonlinear motion equations, to which the effects of the positive and negative piezoelectric and the thermal are introduced by piezoelectric fiber metal laminated (FML) plates in an unsteady temperature, are established by Hamilton's variational principle. Then, the control algorithm of negative-velocity feedback is applied to realize the vibration control of the piezoelectric FML plates. During the solving process, firstly, the formal functions of the displacements that fulfilled the boundary conditions are proposed. Then, heat conduction equations and nonlinear differential equations are dealt with using the differential quadrature (DQ) and Galerkin methods, respectively. On the basis of the previous processing, the time domain is dispersed by the Newmark-beta method. Finally, the whole problem can be investigated by the iterative method. In the numerical examples, the influence of the applied voltage, the temperature loading and geometric parameters on the nonlinear dynamic response of the piezoelectric FML plates is analyzed. Meanwhile, the effect of feedback control gain and the position of the piezoelectric layer, the initial deflection and the external temperature on the active control effect of the piezoelectric layers has been studied. The model development and the research results can serve as a basis for nonlinear vibration analysis of the FML structures.
机译:基于高阶剪切变形理论和几何非线性理论,建立了非线性运动方程式,在非恒定温度下通过压电纤维金属层压板引入了正负压电效应和热效应。用汉密尔顿的变分原理。然后,采用负速度反馈控制算法实现压电FML板的振动控制。在求解过程中,首先提出了满足边界条件的位移的形式函数。然后,分别使用微分正交(DQ)和Galerkin方法处理热传导方程和非线性微分方程。在先前处理的基础上,通过Newmark-beta方法分散时域。最后,可以通过迭代方法研究整个问题。在数值示例中,分析了施加电压,温度负载和几何参数对压电FML板非线性动态响应的影响。同时,研究了反馈控制增益和压电层的位置,初始挠度和外部温度对压电层的主动控制效果的影响。模型的发展和研究成果可作为FML结构非线性振动分析的基础。

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