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| Energy Density Analysis of Irregular Shaped Plates Based on Power Flow Finite Element Method |
| LIU Zhi-hui 1 NIU Jun-chuan 1,2 Zhou Yi-qun 1 |
1. School of Mechanical Engineering, Shandong University, Jinan 250061, China;
2. Key Laboratory of High Efficiency and Clean Mechanical Manufacture, Shandong University, Jinan 200215, China |
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Abstract It has the important significance to analyze and predict the vibration response of the structures under the different frequency. The power flow finite element method has become a research focus of the vibration analysis due to the advantages of the broad applicable frequency range and the detail information provided. The power flow finite element method is implemented to solve the flexural wave energy density of the thin plate, and the weighted residual method is used to derive the residual of the node points. The linear quadrilateral mesh is used to partition the thin plate and the element’s finite element equation is derived, then the global finite element equation is assembled and solved, and the energy density of the nodes is get. The linear triangular element is introduced to partition the plate with complex shape. The research is meaningful for the implementation of the power flow element method on the thin plate with the arbitrary shape.
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Received: 19 January 2016
Published: 15 August 2017
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