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具损伤压电智能层合中厚板的非线性动力稳定性分析

Nonlinear dynamic stability for piezoelectric laminated plates with damage

  • 摘要: 基于各向异性损伤理论和压电理论,采用能量法和Lagrange方程,建立了具损伤压电智能层合中厚板在参数激励下的非线性运动控制方程,应用增量谐波平衡法,求解了具损伤压电智能层合中厚板的非线性动力稳定性问题. 算例中,分析了损伤参数和压电效应对压电智能层合板非线性动力稳定性的影响,揭示了力电耦合效应的内在特征,并与有关文献的结果进行了比较.

     

    Abstract: On the basis of the anisotropic damage theory andpiezoelectric theory, the nonlinear governing equations for piezoelectricmoderately thick laminated plates with damage subjected to a parametricexcitation are derived through applying the energy principle and Lagrangeequation. Employing the incremental harmonic balance method, a solution forthe nonlinear dynamic stability of the piezoelectric moderately thicklaminated plates with damage is obtained. In the numerical examples, theinfluences of damage parameters and piezoelectricity on the nonlineardynamic stabilities are discussed andthe inherent features about the coupledmechanics and electricity are revealed. A comparison is made with available data.

     

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