The modified couple stress theory (MCST) is used to capture size effect on dynamic response in multiple-layer microbeams in the present article. Governing equations of the system are obtained based on the MCST and using Hamilton’s principle. The natural frequencies of the multiple-layer microbeam are calculated using the analytical method. Then, the results of the natural frequencies are presented with respect to different values of the system parameters such as the geometric layers and also the dimensionless material length-scale parameter. The results show that the material length-scale parameter values and also the length, width, and thickness of each layer are extremely effective on the vibration characteristic of the multiple-layer microbeams.

本文使用改进的耦合应力理论（MCST）来捕获尺寸对多层微梁中动态响应的影响。基于MCST并使用汉密尔顿原理获得系统的控制方程。使用分析方法计算多层微束的固有频率。然后，针对系统参数（例如几何层）以及无量纲材料长度比例参数的不同值，给出了固有频率的结果。结果表明，材料的长度尺度参数值以及每一层的长度，宽度和厚度对于多层微束的振动特性都非常有效。