• 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

基于修正一阶剪切变形理论的变厚度功能梯度材料梁力学行为模拟的新型梁模型

A New Beam Model for Simulation of the Mechanical Behaviour of Variable Thickness Functionally Graded Material Beams Based on Modified First Order Shear Deformation Theory.

作者信息

Nam Vu Hoai, Vinh Pham Van, Chinh Nguyen Van, Thom Do Van, Hong Tran Thi

机构信息

Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam.

Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam.

出版信息

Materials (Basel). 2019 Jan 28;12(3):404. doi: 10.3390/ma12030404.

DOI:10.3390/ma12030404
PMID:30696052
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6384869/
Abstract

There are many beam models to simulate the variable thickness functionally graded material (FGM) beam, each model has advantages and disadvantages in computer aided engineering of the mechanical behavior of this beam. In this work, a new model of beam is presented to study the mechanical static bending, free vibration, and buckling behavior of the variable thickness functionally graded material beams. The formulations are based on modified first order shear deformation theory and interpolating polynomials. This new beam model is free of shear-locking for both thick and thin beams, is easy to apply in computation, and has efficiency in simulating the variable thickness beams. The effects of some parameters, such as the power-law material index, degree of non-uniformity index, and the length-to-height ratio, on the mechanical behavior of the variable thickness FGM beam are considered.

摘要

有许多梁模型可用于模拟变厚度功能梯度材料（FGM）梁，每个模型在该梁力学行为的计算机辅助工程中都有优缺点。在这项工作中，提出了一种新的梁模型来研究变厚度功能梯度材料梁的机械静态弯曲、自由振动和屈曲行为。这些公式基于修正的一阶剪切变形理论和插值多项式。这种新的梁模型对于厚梁和薄梁都不存在剪切锁定问题，易于应用于计算，并且在模拟变厚度梁方面具有效率。考虑了一些参数，如幂律材料指数、不均匀度指数和长径比，对变厚度FGM梁力学行为的影响。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/0765780c0552/materials-12-00404-g016.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/69a9f8994460/materials-12-00404-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/a6378ea68864/materials-12-00404-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/3a8e1e4600b1/materials-12-00404-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/7544e9c1ff79/materials-12-00404-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/d43322494679/materials-12-00404-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/1c2e8a02c9d3/materials-12-00404-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/8daf82db2308/materials-12-00404-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/4983013ccf7d/materials-12-00404-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/a973be6a3d21/materials-12-00404-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/232d0beef975/materials-12-00404-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/a5b7133395ad/materials-12-00404-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/3658fb392191/materials-12-00404-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/fb59d55c20bb/materials-12-00404-g013.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/22ad0870c5b5/materials-12-00404-g014.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/36b1172fe676/materials-12-00404-g015.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/0765780c0552/materials-12-00404-g016.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/69a9f8994460/materials-12-00404-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/a6378ea68864/materials-12-00404-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/3a8e1e4600b1/materials-12-00404-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/7544e9c1ff79/materials-12-00404-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/d43322494679/materials-12-00404-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/1c2e8a02c9d3/materials-12-00404-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/8daf82db2308/materials-12-00404-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/4983013ccf7d/materials-12-00404-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/a973be6a3d21/materials-12-00404-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/232d0beef975/materials-12-00404-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/a5b7133395ad/materials-12-00404-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/3658fb392191/materials-12-00404-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/fb59d55c20bb/materials-12-00404-g013.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/22ad0870c5b5/materials-12-00404-g014.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/36b1172fe676/materials-12-00404-g015.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1c36/6384869/0765780c0552/materials-12-00404-g016.jpg

相似文献

1
A New Beam Model for Simulation of the Mechanical Behaviour of Variable Thickness Functionally Graded Material Beams Based on Modified First Order Shear Deformation Theory.基于修正一阶剪切变形理论的变厚度功能梯度材料梁力学行为模拟的新型梁模型
Materials (Basel). 2019 Jan 28;12(3):404. doi: 10.3390/ma12030404.
2
An Efficient Beam Element Based on Quasi-3D Theory for Static Bending Analysis of Functionally Graded Beams.基于准三维理论的功能梯度梁静力弯曲分析高效梁单元
Materials (Basel). 2019 Jul 8;12(13):2198. doi: 10.3390/ma12132198.
3
Research on the Buckling Behavior of Functionally Graded Plates with Stiffeners Based on the Third-Order Shear Deformation Theory.基于三阶剪切变形理论的加筋功能梯度板屈曲行为研究
Materials (Basel). 2019 Apr 17;12(8):1262. doi: 10.3390/ma12081262.
4
Examination of Beam Theories for Buckling and Free Vibration of Functionally Graded Porous Beams.功能梯度多孔梁屈曲和自由振动的梁理论研究
Materials (Basel). 2024 Jun 22;17(13):3080. doi: 10.3390/ma17133080.
5
Bending and Elastic Vibration of a Novel Functionally Graded Polymer Nanocomposite Beam Reinforced by Graphene Nanoplatelets.一种由石墨烯纳米片增强的新型功能梯度聚合物纳米复合材料梁的弯曲和弹性振动
Nanomaterials (Basel). 2019 Nov 26;9(12):1690. doi: 10.3390/nano9121690.
6
Comparative study on free vibration analysis of rotating bi-directional functionally graded beams using multiple beam theories with uncertainty considerations.考虑不确定性因素，基于多梁理论对旋转双向功能梯度梁自由振动分析的比较研究
Sci Rep. 2023 Oct 20;13(1):17917. doi: 10.1038/s41598-023-44411-0.
7
Static Analysis of Skew Functionally Graded Plate Using Novel Shear Deformation Theory.基于新型剪切变形理论的斜功能梯度板的静力分析
Materials (Basel). 2022 Jul 1;15(13):4633. doi: 10.3390/ma15134633.
8
Thermal Vibration of Thick FGM Conical Shells by Using Third-Order Shear Deformation Theory.基于三阶剪切变形理论的厚功能梯度材料圆锥壳热振动分析
Materials (Basel). 2024 May 16;17(10):2403. doi: 10.3390/ma17102403.
9
A Refined Simple First-Order Shear Deformation Theory for Static Bending and Free Vibration Analysis of Advanced Composite Plates.一种用于先进复合材料板静态弯曲和自由振动分析的精细简单一阶剪切变形理论。
Materials (Basel). 2019 Jul 26;12(15):2385. doi: 10.3390/ma12152385.
10
Thermal Mechanical Bending Response of Symmetrical Functionally Graded Material Plates.对称功能梯度材料板的热机械弯曲响应
Materials (Basel). 2023 Jun 28;16(13):4683. doi: 10.3390/ma16134683.

引用本文的文献

1
An Efficient Beam Element Based on Quasi-3D Theory for Static Bending Analysis of Functionally Graded Beams.基于准三维理论的功能梯度梁静力弯曲分析高效梁单元
Materials (Basel). 2019 Jul 8;12(13):2198. doi: 10.3390/ma12132198.
2
Size-Dependent Free Vibration and Buckling of Three-Dimensional Graphene Foam Microshells Based on Modified Couple Stress Theory.基于修正偶应力理论的三维石墨烯泡沫微壳的尺寸依赖性自由振动与屈曲
Materials (Basel). 2019 Mar 2;12(5):729. doi: 10.3390/ma12050729.