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A comprehensive mathematical simulation of the composite size-dependent rotary 3D microsystem via two-dimensional generalized differential quadrature method

Liu, H ; Sharif University of Technology | 2022

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  1. Type of Document: Article
  2. DOI: 10.1007/s00366-021-01419-2
  3. Publisher: Springer Science and Business Media Deutschland GmbH , 2022
  4. Abstract:
  5. 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. © 2021, The Author(s), under exclusive licence to Springer-Verlag London Ltd., part of Springer Nature
  6. Keywords:
  7. Length scale parameter ; Non-classical boundary conditions ; Computation theory ; Differentiation (calculus) ; Elastic moduli ; Frequency response ; Laminating ; Microsystems ; Piezoelectricity ; Rotating machinery ; Strain energy ; Microdisks ; Non-classical boundary condition ; Rotary laminated microdisk ; Rotation gradient ; Size dependent ; Symmetric rotation gradient ; Symmetrics ; The modified couple stress theory ; Boundary conditions
  8. Source: Engineering with Computers ; Volume 38 , 2022 , Pages 4181-4196 ; 01770667 (ISSN)
  9. URL: https://link.springer.com/article/10.1007/s00366-021-01419-2