A comprehensive mathematical simulation of the composite size-dependent rotary 3D microsystem via two-dimensional generalized differential quadrature method
Liu H. Zhao Y. Pishbin M. Habibi M. Bashir M.-O. Issakhov A.
December 2022Springer Science and Business Media Deutschland GmbH
Engineering with Computers
2022#384181 - 4196 pp.
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 microsystems 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 Youngs 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.
Length scale parameter , Non-classical boundary conditions , Rotary laminated microdisk , Symmetric rotation gradient , The modified couple stress theory
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Mathematics and Physics Teaching Department, Yantai Nanshan University, Shandong, Yantai, 265713, China
School of Mechatronics and Vehicle Engineering, Chongqing Jiaotong University, Chongqing, 400074, China
Department of Computer Engineering, Faculty of Engineering, Larestan Branch, Technical and Vocational University (TVU), P.O. Box 7437148575, Lar, Iran
Institute of Research and Development, Duy Tan University, Da Nang, 550000, Viet Nam
Faculty of Electrical-Electronic Engineering, Duy Tan University, Da Nang, 550000, Viet Nam
Center of Excellence in Design, Robotics, and Automation, Department of Mechanical Engineering, Sharif University of Technology, Azadi Avenue, P.O. Box 11365-9567, Tehran, Iran
Department of Civil Engineering, Faculty of Engineering Sciences, Omdurman Islamic University, Omdurman, Sudan
Al-Farabi Kazakh National University, Almaty, Kazakhstan
Kazakh-British Technical University, Almaty, Kazakhstan
Mathematics and Physics Teaching Department
School of Mechatronics and Vehicle Engineering
Department of Computer Engineering
Institute of Research and Development
Faculty of Electrical-Electronic Engineering
Center of Excellence in Design
Department of Civil Engineering
Al-Farabi Kazakh National University
Kazakh-British Technical University
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