基于弹性基础的功能梯度多孔夹层矩形板自由振动的参数分析

Parametric Analysis of Free Vibration of Functionally Graded Porous Sandwich Rectangular Plates Resting on Elastic Foundation.

作者信息

Qin Bin, Mei Jie, Wang Qingshan

机构信息

Key Laboratory of Traffic Safety on Track, Ministry of Education, School of Traffic & Transportation Engineering, Central South University, Changsha 410075, China.

Joint International Research Laboratory of Key Technology for Rail Traffic Safety, Central South University, Changsha 410075, China.

出版信息

Materials (Basel). 2024 May 16;17(10):2398. doi: 10.3390/ma17102398.

DOI:10.3390/ma17102398

PMID:38793465

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11122853/

Abstract

Based on the three-dimensional elasticity theory, the free vibration of functionally graded porous (FGP) sandwich rectangular plates is studied, and a unified solution for free vibration of the plates is proposed in this study. The arbitrary boundary conditions of FGP sandwich rectangular plates are simulated by using the Rayleigh-Ritz method combined with artificial spring theory. The calculation performances of the unified solution for FGP sandwich rectangular plates such as convergence speed and computational efficiency are compared extensively under different displacement functions. In addition, three kinds of elastic foundation (Winkler/Pasternak/Kerr foundations) and three porosity distributions are considered. Some benchmark results and accurate values for the free vibration of FGP sandwich rectangular plates resting on elastic foundations are given. Finally, the effects of diverse structural parameters, elastic foundations with different parameters, and boundary conditions on the free vibration of the FGP sandwich rectangular plates are analyzed.

摘要

基于三维弹性理论，研究了功能梯度多孔（FGP）夹层矩形板的自由振动，并提出了该板自由振动的统一解。采用瑞利 - 里兹法结合人工弹簧理论模拟了FGP夹层矩形板的任意边界条件。在不同位移函数下，广泛比较了FGP夹层矩形板统一解的计算性能，如收敛速度和计算效率。此外，考虑了三种弹性地基（文克尔/帕斯特纳克/克尔地基）和三种孔隙率分布。给出了弹性地基上FGP夹层矩形板自由振动的一些基准结果和精确值。最后，分析了不同结构参数、不同参数的弹性地基以及边界条件对FGP夹层矩形板自由振动的影响。