A WAVELET METHOD FOR BENDING OF CIRCULAR PLATE WITH LARGE DEFLECTION

doi:10.1016/S0894-9166(15)60018-0

	A WAVELET METHOD FOR BENDING OF CIRCULAR PLATE WITH LARGE DEFLECTION
	Wang, Xiaomin; Liu, Xiaojing; Wang, Jizeng; Zhou, Youhe
刊名	Acta Mechanica Solida Sinica
	2015-02-01
卷号	28 期号:1 页码:83-90
关键词	Additional treatment Bending problems Circular plates Large deformation bending Strongly nonlinear Transition regions Von Karman plate theory Wavelet methods
ISSN号	0894-9166
DOI	10.1016/S0894-9166(15)60018-0
其他题名	A wavelet method for bending of circular plate with large deflection
文献子类	Article
英文摘要	A wavelet method for solving strongly nonlinear boundary value problems is described, which has been demonstrated early to have a convergence rate of order 4, almost independent of the nonlinear intensity of the equations. By using such a method, we study the bending problem of a circular plate with arbitrary large deflection. As the deflection increases, the bending behavior usually exhibits a so-called plate-to-membrane transition. Capturing such a transition has ever frustrated researchers for decades. However, without introducing any additional treatment, we show in this study that the proposed wavelet solutions can naturally cover the plate-membrane transition region as the plate deflection increases. In addition, the high accuracy and efficiency of the wavelet method in solving strongly nonlinear problems is numerically confirmed, and applicable scopes for the linear, the membrane and the von Karman plate theories are identified with respect to the large deformation bending of circular plates. © 2015 The Chinese Society of Theoretical and Applied Mechanics.
学科主题	Materials Science ; Mechanics
出版地	NEW YORK
资助项目	国家自然科学基金项目 ; 国家磁约束核聚变能发展研究专项
项目编号	National Natural Science Foundation of China [11472119, 11032006, 11121202] ; National Key Project of Magneto-Constrained Fusion Energy Development Program [2013GB110002] ; Scientific and Technological Self-innovation Foundation of Huazhong Agricultural University [52902-0900206074]
语种	英语
CSCD记录号	CSCD:5375800
WOS记录号	WOS:000351031400009
资助机构	NSFC ; MOST
内容类型	期刊论文
源URL	[http://ir.lzu.edu.cn/handle/262010/144460]
专题	土木工程与力学学院_期刊论文
通讯作者	Wang, Jizeng
推荐引用方式 GB/T 7714	Wang, Xiaomin,Liu, Xiaojing,Wang, Jizeng,et al. A WAVELET METHOD FOR BENDING OF CIRCULAR PLATE WITH LARGE DEFLECTION[J]. Acta Mechanica Solida Sinica,2015,28(1):83-90.
APA	Wang, Xiaomin,Liu, Xiaojing,Wang, Jizeng,&Zhou, Youhe.(2015).A WAVELET METHOD FOR BENDING OF CIRCULAR PLATE WITH LARGE DEFLECTION.Acta Mechanica Solida Sinica,28(1),83-90.
MLA	Wang, Xiaomin,et al."A WAVELET METHOD FOR BENDING OF CIRCULAR PLATE WITH LARGE DEFLECTION".Acta Mechanica Solida Sinica 28.1(2015):83-90.