The analytical investigation for the nonlinear thermal dynamic buckling of smart sandwich plate subjected to mechanical, thermal and electric loadings is presented. The sandwich plate is composed of a porous homogeneous core, two carbon nanotube reinforced composite (CNTRC) layers and two piezoelectric face sheets. Basic equations are derived based on the Reddy's higher order shear deformation plate theory and Hamilton's principle in which the initial imperfection and Pasternak-type elastic foundations are included. The external pressure is assumed to be uniformly distributed on the surface of the sandwich plate and depend on time according to the linear functions. The nonlinear dynamic response, the frequency – amplitude relation are obtained by using the Galerkin and Runge – Kutta methods and the critical dynamic buckling load is determined by using Budiansky – Roth criterion. Bees Algorithm is used to determine the maximum value of natural frequency of smart sandwich plate and the corresponding optimum values of geometrical and material parameters. The effects of geometrical parameters, CNT volume fraction, elastic foundations, temperature increment, initial imperfection and porosity coefficient on the nonlinear vibration and dynamic buckling of the smart sandwich plate are considered specifically. The numerical results are also compared with existing results using different theories.

介绍了智能夹层板在机械、热和电荷载作用下的非线性热动力屈曲分析研究。夹层板由多孔均质芯、两个碳纳米管增强复合材料 (CNTRC) 层和两个压电面板组成。基本方程是基于雷迪的高阶剪切变形板理论和哈密顿原理推导出来的，其中初始缺陷包括 Pasternak 型弹性基础。根据线性函数，假设外部压力均匀分布在夹层板的表面上，并且与时间有关。非线性动力响应、频率-幅度关系通过使用Galerkin 和Runge-Kutta 方法获得，临界动态屈曲载荷通过使用Budiansky-Roth 准则确定。Bees算法用于确定智能夹层板固有频率的最大值以及相应的几何参数和材料参数的最优值。几何参数、CNT 体积分数、弹性基础、温度增量、初始缺陷和孔隙率系数对专门考虑了智能夹层板的非线性振动和动态屈曲。数值结果还与使用不同理论的现有结果进行了比较。