A Transverse Dynamic Deflection Model for Thin Plate Made of Saturated Porous Materials

Author:

Feng-xi Zhou12,Xiao-lin Cao1

Affiliation:

1. School of Civil Engineering, Lanzhou University of Technology, Lanzhou, Gansu 730050, China

2. Western Engineering Research Center of Disaster Mitigation in Civil Engineering of Ministry of Education, Lanzhou University of Technology, Lanzhou, Gansu 730050, China , Tel.: +86 13919809084

Abstract

Abstract In this article, a transverse dynamic deflection model is established for thin plate made of saturated porous materials. Based on the Biot’s model for fluid-saturated porous media, using the Love–Kirchhoff hypothesis, the governing equations of transverse vibrations of fluid-saturated poroelastic plates are derived in detail, which take the inertial, fluid viscous, mechanical couplings, compressibility of solid, and fluid into account. The free vibration and forced vibration response of a simply supported poroelastic rectangular plate is obtained by Fourier series expansion method. Through numerical examples, the effect of porosity and permeability on the dynamic response, including the natural frequency, amplitude response, and the resonance areas is assessed.

Funder

National Natural Science Foundation of China

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Bending edge wave on a functionally graded fluid‐saturated porous magneto‐electro‐elastic plate;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2024-02-24

2. Differential equations of oscillation of thin plates with point bonding;Zeitschrift für Naturforschung A;2023-04-10

3. Dynamic response analysis of fluid-saturated porous rectangular plates;Zeitschrift für Naturforschung A;2020-10-21

4. Free Vibration Analysis of Fluid-saturated Porous Rectangular Plates;Proceedings of the 2nd International Conference on Artificial Intelligence and Advanced Manufacture;2020-10-15

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