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Analyses of dynamic characteristics of a fluid-filled thin rectangular porous plate with various boundary conditions

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Abstract

Based on the classical theory of thin plate and Biot theory, a precise model of the transverse vibrations of a thin rectangular porous plate is proposed. The first order differential equations of the porous plate are derived in the frequency domain. By considering the coupling effect between the solid phase and the fluid phase and without any hypothesis for the fluid displacement, the model presented here is rigorous and close to the real materials. Owing to the use of extended homogeneous capacity precision integration method and precise element method, the model can be applied in higher frequency range than pure numerical methods. This model also easily adapts to various boundary conditions. Numerical results are given for two different porous plates under different excitations and boundary conditions.

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Authors and Affiliations

  1. Automotive and Transportation Engineering Collage, Guangxi University of Science and Technology, 545006, Liuzhou, China

    Yu Xiang, Honghua Jiang & Jing Lu

  2. Guangxi Key Laboratory of Automobile Components and Vehicle Technology, Guangxi University of Science and Technology, 545006, Liuzhou, China

    Yu Xiang, Honghua Jiang & Jing Lu

Authors
  1. Yu Xiang
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  2. Honghua Jiang
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  3. Jing Lu
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Corresponding author

Correspondence to Yu Xiang.

Additional information

Project supported by the National Natural Science Foundation of China (nos. 11162001, 11502056 and 51665006).

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Xiang, Y., Jiang, H. & Lu, J. Analyses of dynamic characteristics of a fluid-filled thin rectangular porous plate with various boundary conditions. Acta Mech. Solida Sin. 30, 87–97 (2017). https://doi.org/10.1016/j.camss.2016.12.002

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  • DOI: https://doi.org/10.1016/j.camss.2016.12.002

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