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| Application of differential quadrature finite element method to the free vibration analysis of double-layered microplate system |
| Received:May 26, 2022 Revised:July 12, 2022 |
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| DOI：10.7511/jslx20220526001 |
| KeyWord:modified couple stress theory two-variable refined shear deformation theory double-layered microplate system differential quadrature finite element vibration characteristics |
| Author | Institution |
| 张立民 |
西南交通大学力学与航空航天学院, 应用力学与结构安全四川省重点实验室, 成都 |
| 张波 |
西南交通大学力学与航空航天学院, 应用力学与结构安全四川省重点实验室, 成都 |
| 张旭 |
西南交通大学力学与航空航天学院, 应用力学与结构安全四川省重点实验室, 成都 |
| 段宇杭 |
西南交通大学力学与航空航天学院, 应用力学与结构安全四川省重点实验室, 成都 |
| 沈火明 |
西南交通大学力学与航空航天学院, 应用力学与结构安全四川省重点实验室, 成都 |
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| Abstract: |
| This paper developed the free vibration model of a double-layered microplate system connected by Winkler-Pasternak continuous elastic interlayer within the combined framework of the modified couple stress theory and a two-variable refined shear deformation theory.The derivation of differential equations of motion and potential energy for the asynchronous vibration of the system was emphasized.To solve the resulting boundary value problem,the differential quadrature finite element with C1-continuity was constructed by combining differential quadrature and Gauss-Lobatto quadrature rules.The efficacy of our solution method was demonstrated by comparing its predictions with the available ones.The effects of various factors on the system’s synchronous and asynchronous vibration characteristics were discussed in detail.It is revealed that:(1) the double-layered microplate system’s vibration characteristics depend on the material length scale parameter,length-to-width ratio,length-to-thickness ratio and boundary conditions;(2) the elastic interlayer stiffness only affects the asynchronous vibration characteristics of the system;(3) size effects on the vibration frequencies and mode shapes become noticeable as the material length scale parameter or the elastic interlayer stiffness increases. |
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