Nonlinear Vibration Analysis of Clamped Skew Plates by a Variational Method

Author:

Das Debabrata1,Sahoo Prasanta2,Saha Kashinath1

Affiliation:

1. Department of Mechanical Engineering, Jadavpur University, Kolkata 700032, India

2. Department of Mechanical Engineering, Jadavpur University, Kolkata 700032, India,

Abstract

Nonlinear free vibration analysis of clamped isotropic skew plates has been presented. The large amplitude of vibration is imparted statically by subjecting the plate under uniform transverse pressure. The mathematical formulation is based on the variational principle in which the displacement fields are assumed as a combination of orthogonal polynomial or transcendental functions, each satisfying the corresponding boundary conditions of the plate. The large amplitude dynamic problem is addressed by solving the corresponding static problem first and subsequently with the resultant static displacement field, the dynamic problem is formulated. The vibration frequencies are obtained from the solution of a standard eigenvalue problem. Entire computational work is carried out in a normalized square domain obtained through an appropriate domain mapping technique. Results of the reduced problem revealed excellent agreement with other studies and a typical comparison of the actual problem is also carried out successfully. Results are furnished in dimensionless amplitude-frequency plane, in the form of backbone curves, and pictorial representations of some vibration mode shapes are made.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Mechanics of Materials,Aerospace Engineering,Automotive Engineering,General Materials Science

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3