• 文献检索
  • 文档翻译
  • 深度研究
  • 学术资讯
  • Suppr Zotero 插件Zotero 插件
  • 邀请有礼
  • 套餐&价格
  • 历史记录
应用&插件
Suppr Zotero 插件Zotero 插件浏览器插件Mac 客户端Windows 客户端微信小程序
定价
高级版会员购买积分包购买API积分包
服务
文献检索文档翻译深度研究API 文档MCP 服务
关于我们
关于 Suppr公司介绍联系我们用户协议隐私条款
关注我们

Suppr 超能文献

核心技术专利：CN118964589B侵权必究
粤ICP备2023148730 号-1Suppr @ 2026

文献检索

告别复杂PubMed语法，用中文像聊天一样搜索，搜遍4000万医学文献。AI智能推荐，让科研检索更轻松。

立即免费搜索

文件翻译

保留排版，准确专业，支持PDF/Word/PPT等文件格式，支持 12+语言互译。

免费翻译文档

深度研究

AI帮你快速写综述，25分钟生成高质量综述，智能提取关键信息，辅助科研写作。

立即免费体验

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。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/96b4/11122853/530eb8ae99fa/materials-17-02398-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/96b4/11122853/76298c69c177/materials-17-02398-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/96b4/11122853/a47d39ae1dbc/materials-17-02398-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/96b4/11122853/6072c39134aa/materials-17-02398-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/96b4/11122853/31c4f0ac29d2/materials-17-02398-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/96b4/11122853/112ae3196fe0/materials-17-02398-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/96b4/11122853/c183a7e1041b/materials-17-02398-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/96b4/11122853/b3e710151357/materials-17-02398-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/96b4/11122853/6bcf6926be0e/materials-17-02398-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/96b4/11122853/5ee9a448e317/materials-17-02398-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/96b4/11122853/c8bb1aebac09/materials-17-02398-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/96b4/11122853/530eb8ae99fa/materials-17-02398-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/96b4/11122853/76298c69c177/materials-17-02398-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/96b4/11122853/a47d39ae1dbc/materials-17-02398-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/96b4/11122853/6072c39134aa/materials-17-02398-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/96b4/11122853/31c4f0ac29d2/materials-17-02398-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/96b4/11122853/112ae3196fe0/materials-17-02398-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/96b4/11122853/c183a7e1041b/materials-17-02398-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/96b4/11122853/b3e710151357/materials-17-02398-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/96b4/11122853/6bcf6926be0e/materials-17-02398-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/96b4/11122853/5ee9a448e317/materials-17-02398-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/96b4/11122853/c8bb1aebac09/materials-17-02398-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/96b4/11122853/530eb8ae99fa/materials-17-02398-g011.jpg

相似文献

1
Parametric Analysis of Free Vibration of Functionally Graded Porous Sandwich Rectangular Plates Resting on Elastic Foundation.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
Materials (Basel). 2024 May 16;17(10):2398. doi: 10.3390/ma17102398.
2
Three-Dimensional Vibration Analysis of a Functionally Graded Sandwich Rectangular Plate Resting on an Elastic Foundation Using a Semi-Analytical Method.基于半解析法的弹性地基上功能梯度夹层矩形板的三维振动分析
Materials (Basel). 2019 Oct 17;12(20):3401. doi: 10.3390/ma12203401.
3
Three-Dimensional Solution for the Vibration Analysis of Functionally Graded Rectangular Plate with/without Cutouts Subject to General Boundary Conditions.具有一般边界条件的含/不含切口功能梯度矩形板振动分析的三维解法
Materials (Basel). 2021 Nov 22;14(22):7088. doi: 10.3390/ma14227088.
4
Influence of boundary conditions on three-dimensional vibration characteristics of thick rectangular plates.边界条件对厚矩形板三维振动特性的影响
Sci Prog. 2020 Oct-Dec;103(4):36850420969548. doi: 10.1177/0036850420969548.
5
Dynamic response of sandwich functionally graded nanoplate under thermal environments and elastic foundations using dynamic stiffness method.基于动态刚度法的热环境和弹性基础下三明治功能梯度纳米板的动态响应
Sci Rep. 2024 Sep 17;14(1):21689. doi: 10.1038/s41598-024-70210-2.
6
Isogeometric Analysis of Graphene-Reinforced Functionally Gradient Piezoelectric Plates Resting on Winkler Elastic Foundations.基于文克勒弹性地基的石墨烯增强功能梯度压电板的等几何分析
Materials (Basel). 2022 Aug 19;15(16):5727. doi: 10.3390/ma15165727.
7
Vibration analysis of structural elements using differential quadrature method.基于微分求积法的结构元件振动分析。
J Adv Res. 2013 Jan;4(1):93-102. doi: 10.1016/j.jare.2012.01.009. Epub 2012 Mar 6.
8
Three-Dimensional Free Vibration Analyses of Preloaded Cracked Plates of Functionally Graded Materials via the MLS-Ritz Method.基于移动最小二乘-里兹法的功能梯度材料预载裂纹板三维自由振动分析
Materials (Basel). 2021 Dec 14;14(24):7712. doi: 10.3390/ma14247712.
9
An exact solution for the free-vibration analysis of functionally graded carbon-nanotube-reinforced composite beams with arbitrary boundary conditions.具有任意边界条件的功能梯度碳纳米管增强复合材料梁自由振动分析的精确解。
Sci Rep. 2017 Oct 10;7(1):12909. doi: 10.1038/s41598-017-12596-w.
10
A generalized solution procedure for in-plane free vibration of rectangular plates and annular sectorial plates.矩形板和环形扇形板面内自由振动的一种通用求解方法。
R Soc Open Sci. 2017 Aug 16;4(8):170484. doi: 10.1098/rsos.170484. eCollection 2017 Aug.

本文引用的文献

1
Three-Dimensional Vibration Analysis of a Functionally Graded Sandwich Rectangular Plate Resting on an Elastic Foundation Using a Semi-Analytical Method.基于半解析法的弹性地基上功能梯度夹层矩形板的三维振动分析
Materials (Basel). 2019 Oct 17;12(20):3401. doi: 10.3390/ma12203401.