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
Subject
Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics
Cited by
4 articles.
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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