IMECH-IR  > 非线性力学国家重点实验室
Alternative TitleBifurcation and chaos of a thin rectangular plate simply supported with large deflection in a coupled environment of heating, force and magnetic field
王平; 陈蜀梅; 王知人
Source Publication振动与冲击
Other AbstractHere, the chaotic motion of a thin rectangular plate simply supported with large deflection and four unmovable sides in a coupled environment of mechanical load, magnetic field and temperature field was investigated. Based on the theories of plates, shells and magnetic elasticity and considering the effect of temperature field, the nonlinear magnetic-elastic coupled vibration equations of the rectangular plate in the coupled environment of a transverse steady magnetic field and mechanical load were derived. Using Melnikov function method, the chaotic motion condition of the dynamic system under the meaning of Smale horseshoe transformation was obtained. The numerical simulations were performed with the vibration equations of the system. Through a specific example, the bifurcation diagram, the displacement wave diagram, the phase diagram and Poincare section diagram of this system were shown here. The influences of parameter variations including mechanical load, magnetic field and temperature field on the chaotic motion of this system were discussed. The simulation results shgowed that the vibration characters of this system can be controlled by changing parameters of mechanical load, magnetic field and temperature field.
Keyword大挠度 热磁弹性 耦合场 Melnikov函数法 分岔 混沌
Subject Area弹性力学与塑性力学
Indexed ByEI ; CSCD
Funding Organization国家自然科学基金(11172024);非线性力学国家重点实验室开放基金资助项目;河北省自然科学基金(A2012203140)
Citation statistics
Cited Times:4[CSCD]   [CSCD Record]
Document Type期刊论文
Corresponding Author王平
Recommended Citation
GB/T 7714
王平,陈蜀梅,王知人. 大挠度简支矩形薄板受热力磁耦合作用分岔与混沌[J]. 振动与冲击,2013,32(7):129-134.
APA 王平,陈蜀梅,&王知人.(2013).大挠度简支矩形薄板受热力磁耦合作用分岔与混沌.振动与冲击,32(7),129-134.
MLA 王平,et al."大挠度简支矩形薄板受热力磁耦合作用分岔与混沌".振动与冲击 32.7(2013):129-134.
Files in This Item: Download All
File Name/Size DocType Version Access License
IMCAS-J2013-161.pdf(1053KB) 开放获取--View Download
Related Services
Recommend this item
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[王平]'s Articles
[陈蜀梅]'s Articles
[王知人]'s Articles
Baidu academic
Similar articles in Baidu academic
[王平]'s Articles
[陈蜀梅]'s Articles
[王知人]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[王平]'s Articles
[陈蜀梅]'s Articles
[王知人]'s Articles
Terms of Use
No data!
Social Bookmark/Share
File name: IMCAS-J2013-161.pdf
Format: Adobe PDF
This file does not support browsing at this time
All comments (0)
No comment.

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.