In this study, frequency simulation and critical angular velocity of a size-dependent laminated rotary microsystem using modified couple stress theory (MCST) as the higher-order elasticity model is undertaken. The centrifugal and Coriolis impacts due to the spinning are taken into account. The size-dependent thick annular microsystem's computational formulation, non-classical governing equations, and corresponding boundary conditions are obtained by using the higher-order stress tensors and symmetric rotation gradient to the strain energy. By using a single material length scale factor, the most recent non-classical approach captures the size-dependency in the annular laminated microsystem. Furthermore, by ignoring the length scale element of the material, an annular microsystem’s mathematical formulation based on the classical model can be retrieved from the current model. Ultimately, the governing equations, which are non-classic, have been solved for various boundary conditions (BCs) using the two-dimensional generalized differential quadrature (2D-GDQ) approach. The effects of Young's modulus ratio the, rotating speed, radius ratio, laminated layers’ number, length scale element, and laminated types on the critical rotating speed and frequency responses of the laminated spinning microdisk are then investigated using MCST. The outcomes reveal that the negative influence from spinning velocity on the system’s dynamics is more significant than the negative influence from radius ratio, and the mentioned problem is more considerable for the vertical laminated pattern. Finally, the critical radius ratio and rotating speed increase by changing the laminated pattern from vertical to longitudinal.

在这项研究中，使用改进的耦合应力理论（MCST）作为高阶弹性模型，对尺寸相关的叠层旋转微系统进行了频率模拟和临界角速度。考虑到由于旋转而产生的离心和科里奥利冲击。通过使用高阶应力张量和相对于应变能的对称旋转梯度，可以获得尺寸相关的厚环形微系统的计算公式，非经典控制方程和相应的边界条件。通过使用单个材料长度比例因子，最新的非经典方法可以捕获环形叠层微系统中的尺寸相关性。此外，通过忽略材料的长度比例元素，可以从当前模型中检索基于经典模型的环形微系统的数学公式。最终，使用二维广义微分正交（2D-GDQ）方法针对各种边界条件（BCs）求解了非经典控制方程。然后，使用MCST研究了杨氏模量比，转速，半径比，层数，长度比例元素和层型对层状旋转微盘的临界转速和频率响应的影响。结果表明，旋转速度对系统动力学的负面影响要比半径比的负面影响更为显着，而且上述问题对于垂直层压图案而言更为明显。最后，