In this paper, an attempt is made to extend a linear two-dimensional model for stability analysis of the laminated annular microplate subject to external excitation. A new approach called hybrid optimization is introduced to solve optimization problems with a high sensitive objective function to decline computational costs and increase the predicted optimum results accuracy. Regarding this issue, generalized differential quadrature element method (GDQEM), particle swarm optimization (PSO), as well as genetic algorithm (GA) methods are coupled to improve the dynamic stability of the annular microsystems via finding an optimum frequency and fiber angle of layers simultaneously. Higher-order shear deformation theory (HSDT) and Hamilton’s principle are taken into consideration for the exact derivation of the general linear governing equations and boundary conditions of the axisymmetric laminated annular plate. Also, modified couple stress theory (MCST) is presented for presenting the size-dependency of the current microsystem. The GDQEM is used to solve the governing equations of the microsystem via its boundary domains. To enhance the genetic algorithms’ performance for solving equations, the optimizer approach of particle swarm has been employed as a GA’s operator. Precise convergence and practicality of the suggested mixed-method have been disclosed. Moreover, we would have proven that for achieving the convergence PSO’s and GA’s outcomes, we have to apply higher than fifteen iterations.

在本文中，尝试扩展线性二维模型，用于外部激励下层压环形微板的稳定性分析。引入了一种称为混合优化的新方法来解决具有高敏感目标函数的优化问题，以降低计算成本并提高预测的最佳结果精度。针对这个问题，广义微分正交元法（GDQEM）、粒子群优化（PSO）以及遗传算法（GA）方法相结合，通过寻找层的最佳频率和纤维角度来提高环形微系统的动态稳定性。同时地。考虑了高阶剪切变形理论（HSDT）和哈密顿原理，精确推导了轴对称叠层环形板的一般线性控制方程和边界条件。此外，还提出了修正偶应力理论 (MCST)，用于展示当前微系统的尺寸依赖性。GDQEM 用于通过微系统的边界域求解微系统的控制方程。为了提高遗传算法求解方程的性能，粒子群的优化器方法已被用作遗传算法的算子。已经公开了所建议的混合方法的精确收敛性和实用性。此外，我们会证明，为了实现 PSO 和 GA 的收敛结果，我们必须应用超过 15 次的迭代。