Free vibration analysis of rectangular and annular Mindlin plates with undamaged and damaged boundaries by the spectral collocation method

边值问题 离散化 振动 数学 搭配(遥感) 数学分析 各向同性 边界(拓扑) 特征向量 搭配法 微分方程 常微分方程 物理 计算机科学 量子力学 机器学习
作者
Ma’en S. Sari,Eric A. Butcher
出处
期刊:Journal of Vibration and Control [SAGE Publishing]
卷期号:18 (11): 1722-1736 被引量:19
标识
DOI:10.1177/1077546311422242
摘要

The objective of this paper is the development of a new numerical technique for the free vibration analysis of isotropic rectangular and annular Mindlin plates with damaged boundaries. For this purpose, the Chebyshev collocation method is applied to obtain the natural frequencies of Mindlin plates with damaged clamped boundary conditions, where the governing equations and boundary conditions are discretized by the presented method and put into matrix vector form. The damaged boundaries are represented by distributed translational and torsional springs. In the present study the boundary conditions are coupled with the governing equation to obtain the eigenvalue problem. Convergence studies are carried out to determine the sufficient number of grid points used. First, the results obtained for the undamaged plates are verified with previous results in the literature. Subsequently, the results obtained for the damaged Mindlin plate indicate the behavior of the natural vibration frequencies with respect to the severity of the damaged boundary. This analysis can lead to an efficient technique for structural health monitoring of structures in which joint or boundary damage plays a significant role in the dynamic characteristics. The results obtained from the Chebychev collocation solutions are seen to be in excellent agreement with those presented in the literature.
最长约 10秒,即可获得该文献文件

科研通智能强力驱动
Strongly Powered by AbleSci AI
科研通是完全免费的文献互助平台,具备全网最快的应助速度,最高的求助完成率。 对每一个文献求助,科研通都将尽心尽力,给求助人一个满意的交代。
实时播报
1DDDDD完成签到,获得积分10
1秒前
斯文败类应助qizhang采纳,获得10
2秒前
zm完成签到,获得积分10
4秒前
巷陌完成签到 ,获得积分10
4秒前
卡卡完成签到,获得积分10
8秒前
12秒前
月下完成签到 ,获得积分10
16秒前
16秒前
jintian完成签到 ,获得积分10
16秒前
18秒前
18秒前
斯文无敌完成签到,获得积分10
20秒前
圈儿完成签到,获得积分10
20秒前
21秒前
why完成签到,获得积分10
21秒前
limit应助Yumeng采纳,获得10
22秒前
科研小白发布了新的文献求助30
22秒前
qizhang完成签到,获得积分10
22秒前
22秒前
23秒前
怕黑不惜完成签到,获得积分10
23秒前
24秒前
烟花应助高大豌豆采纳,获得10
24秒前
orixero应助高大豌豆采纳,获得10
24秒前
香锅不要辣完成签到 ,获得积分10
25秒前
月下关注了科研通微信公众号
26秒前
hebhm完成签到,获得积分10
27秒前
xty发布了新的文献求助10
27秒前
柚子发布了新的文献求助30
27秒前
淳于无施完成签到,获得积分10
29秒前
neko完成签到,获得积分10
30秒前
斯文败类应助沐阳d采纳,获得10
31秒前
独角大盗完成签到 ,获得积分10
31秒前
31秒前
32秒前
丘比特应助xty采纳,获得10
32秒前
32秒前
852应助科研通管家采纳,获得10
32秒前
32秒前
橙色小人完成签到,获得积分10
32秒前
高分求助中
Production Logging: Theoretical and Interpretive Elements 2700
Neuromuscular and Electrodiagnostic Medicine Board Review 1000
こんなに痛いのにどうして「なんでもない」と医者にいわれてしまうのでしょうか 510
The First Nuclear Era: The Life and Times of a Technological Fixer 500
Unusual formation of 4-diazo-3-nitriminopyrazoles upon acid nitration of pyrazolo[3,4-d][1,2,3]triazoles 500
岡本唐貴自伝的回想画集 500
Distinct Aggregation Behaviors and Rheological Responses of Two Terminally Functionalized Polyisoprenes with Different Quadruple Hydrogen Bonding Motifs 450
热门求助领域 (近24小时)
化学 材料科学 医学 生物 工程类 有机化学 物理 生物化学 纳米技术 计算机科学 化学工程 内科学 复合材料 物理化学 电极 遗传学 量子力学 基因 冶金 催化作用
热门帖子
关注 科研通微信公众号,转发送积分 3671619
求助须知:如何正确求助?哪些是违规求助? 3228325
关于积分的说明 9779523
捐赠科研通 2938636
什么是DOI,文献DOI怎么找? 1610158
邀请新用户注册赠送积分活动 760547
科研通“疑难数据库(出版商)”最低求助积分说明 736093