变弹性地基上双向FG梁的自由振动特性研究

IF 2.5 3区 工程技术 Q2 ENGINEERING, CIVIL Geomechanics and Engineering Pub Date : 2021-06-01 DOI:10.12989/GAE.2021.25.5.383
Ismail Benaberrahmane, S. Benyoucef, M. Sekkal, M. Mekerbi, R. B. Bouiadjra, M. Selim, A. Tounsi, M. Hussain
{"title":"变弹性地基上双向FG梁的自由振动特性研究","authors":"Ismail Benaberrahmane, S. Benyoucef, M. Sekkal, M. Mekerbi, R. B. Bouiadjra, M. Selim, A. Tounsi, M. Hussain","doi":"10.12989/GAE.2021.25.5.383","DOIUrl":null,"url":null,"abstract":"In the present study, the free vibration of bidirectional functionally graded (FG) beams resting on variable elastic foundation are comprehensively investigated. The beam’s behavior is modeled using 2D displacement field that contain undetermined integral terms and involves a reduced unknown functions. The material properties of the FG beam are assumed to be graded in both the thickness and longitudinal directions according to a power law. The beams are considered simply supported and resting on variable elastic foundation. The differential equation system governing the free vibration behavior of bidirectional beams is derived based on the Hamilton principle. The problem is then solved using the Navier solution for a simply supported beam. The accuracy of the used model can be noticed by comparing it with other solutions available in the literature where a good conformance was obtained. A detailed parametric study is conducted to explore the influences of material composition and variable elastic parameters on the vibration characteristics of the beams. The results reveal that the grading indexes in one or both directions as well as the parameters of the elastic foundation strongly impact the fundamental frequencies.","PeriodicalId":12602,"journal":{"name":"Geomechanics and Engineering","volume":"25 1","pages":"383-394"},"PeriodicalIF":2.5000,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Investigating of free vibration behavior of bidirectional FG beams resting on variable elastic foundation\",\"authors\":\"Ismail Benaberrahmane, S. Benyoucef, M. Sekkal, M. Mekerbi, R. B. Bouiadjra, M. Selim, A. Tounsi, M. Hussain\",\"doi\":\"10.12989/GAE.2021.25.5.383\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the present study, the free vibration of bidirectional functionally graded (FG) beams resting on variable elastic foundation are comprehensively investigated. The beam’s behavior is modeled using 2D displacement field that contain undetermined integral terms and involves a reduced unknown functions. The material properties of the FG beam are assumed to be graded in both the thickness and longitudinal directions according to a power law. The beams are considered simply supported and resting on variable elastic foundation. The differential equation system governing the free vibration behavior of bidirectional beams is derived based on the Hamilton principle. The problem is then solved using the Navier solution for a simply supported beam. The accuracy of the used model can be noticed by comparing it with other solutions available in the literature where a good conformance was obtained. A detailed parametric study is conducted to explore the influences of material composition and variable elastic parameters on the vibration characteristics of the beams. The results reveal that the grading indexes in one or both directions as well as the parameters of the elastic foundation strongly impact the fundamental frequencies.\",\"PeriodicalId\":12602,\"journal\":{\"name\":\"Geomechanics and Engineering\",\"volume\":\"25 1\",\"pages\":\"383-394\"},\"PeriodicalIF\":2.5000,\"publicationDate\":\"2021-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Geomechanics and Engineering\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.12989/GAE.2021.25.5.383\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, CIVIL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Geomechanics and Engineering","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.12989/GAE.2021.25.5.383","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, CIVIL","Score":null,"Total":0}
引用次数: 1

摘要

本文对变弹性地基上双向功能梯度梁的自由振动进行了全面的研究。梁的行为是使用二维位移场建模的,该位移场包含未确定的积分项,并涉及简化的未知函数。FG梁的材料特性假定根据幂律在厚度和纵向方向上分级。梁被认为是简单支撑的,并放置在可变弹性基础上。基于汉密尔顿原理,导出了控制双向梁自由振动行为的微分方程组。然后使用简单支撑梁的Navier解决方案来解决该问题。通过将所用模型与文献中获得良好一致性的其他解决方案进行比较,可以注意到所用模型的准确性。通过详细的参数研究,探讨了材料组成和可变弹性参数对梁振动特性的影响。结果表明,弹性地基的一个或两个方向的级配指标以及参数对基频有很大的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Investigating of free vibration behavior of bidirectional FG beams resting on variable elastic foundation
In the present study, the free vibration of bidirectional functionally graded (FG) beams resting on variable elastic foundation are comprehensively investigated. The beam’s behavior is modeled using 2D displacement field that contain undetermined integral terms and involves a reduced unknown functions. The material properties of the FG beam are assumed to be graded in both the thickness and longitudinal directions according to a power law. The beams are considered simply supported and resting on variable elastic foundation. The differential equation system governing the free vibration behavior of bidirectional beams is derived based on the Hamilton principle. The problem is then solved using the Navier solution for a simply supported beam. The accuracy of the used model can be noticed by comparing it with other solutions available in the literature where a good conformance was obtained. A detailed parametric study is conducted to explore the influences of material composition and variable elastic parameters on the vibration characteristics of the beams. The results reveal that the grading indexes in one or both directions as well as the parameters of the elastic foundation strongly impact the fundamental frequencies.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Geomechanics and Engineering
Geomechanics and Engineering ENGINEERING, CIVIL-ENGINEERING, GEOLOGICAL
CiteScore
5.20
自引率
25.00%
发文量
0
审稿时长
>12 weeks
期刊介绍: The Geomechanics and Engineering aims at opening an easy access to the valuable source of information and providing an excellent publication channel for the global community of researchers in the geomechanics and its applications. Typical subjects covered by the journal include: - Analytical, computational, and experimental multiscale and interaction mechanics- Computational and Theoretical Geomechnics- Foundations- Tunneling- Earth Structures- Site Characterization- Soil-Structure Interactions
期刊最新文献
An analytical approach to estimate the mechanical state of roof strata in underground longwall mining Investigating of free vibration behavior of bidirectional FG beams resting on variable elastic foundation Evaluation of grout penetration in single rock fracture using electrical resistivity Study on lateral behavior of digging well foundation with consideration of soil-foundation interaction A novel preloading method for foundation underpinning for the remodeling of an existing building
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1