https://doi.org/10.1140/epjp/s13360-023-03753-4
Regular Article
Dynamic formulation of a sandwich microshell considering modified couple stress and thickness-stretching
1
Department of mining engineering, School of mining, Liaoning University of engineering and technology, 123000, Fuxin, Liaoning, China
2
Faculty of Mechanical Engineering, Department of Solid Mechanics, University of Kashan, 87317-51167, Kashan, Iran
a
zhangmeichang@stu.intu.edu.cn
Received:
15
December
2022
Accepted:
29
January
2023
Published online:
10
March
2023
Dynamic formulation of a sandwich microshell is studied in this paper based on modified couple stress theory (MCST) and accounting thickness stretching kinematic relations. Hamilton’s principle is used to derive basic governing equations in the size-dependent framework in microscale. The model is a sandwich double-curved microshell composed of a microcore with two sensor/actuator layers at top/bottom. An actuation of sensor/actuator layers with initial electric/magnetic potentials is applied as an external load. A comprehensive kinematic relation accounting all types of displacements including bending, shear and stretching functions is used. After derivation of motion equations, the parametric results based on analytical method are presented in the tabular and graphical formats. A comparative study is presented to show accuracy of the proposed formulation. The numerical results reveal that accounting modified couple stress theory leads to enhancing the structural stiffness and frequencies. Furthermore, the comprehensive numerical results are presented to investigate influence of multi-field loading, mode number and geometric parameters on the natural frequency responses.
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