Wavelet solution for large deflection bending problems of thin rectangular plates

doi:10.1007/s00419-014-0960-9

	Wavelet solution for large deflection bending problems of thin rectangular plates
	Zhang, L; Wang, JZ; Zhou, YH; Wang, JZ (reprint author), Lanzhou Univ, Coll Civil Engn & Mech, Key Lab Mech Disaster & Environm Western China, Minist Educ, Lanzhou 730000, Gansu, Peoples R China.
	2015-03
会议日期	AUG 12-15, 2013
会议地点	Shanghai, PEOPLES R CHINA
关键词	Modified wavelet Galerkin method Large deflection Von Karman equations Thin rectangular plate Nonlinear problems
卷号	85
期号	3
DOI	10.1007/s00419-014-0960-9
页码	355-365
英文摘要	In this study, we introduce a modified wavelet Galerkin method proposed recently by us to analyze the large deflection bending problems of thin rectangular plates, which are governed by the well-known von Karman equations, consisting of two coupled fourth-order two-dimensional nonlinear partial differential equations. This adopted wavelet method is established based on a modified wavelet approximation scheme to interval-bounded L (2)-functions, in which each series-expansion coefficient can be explicitly expressed by a single-point sampling of the functions, and corresponding boundary values and derivatives can be embedded in the modified scaling function bases. By incorporating this approximation scheme into the conventional Galerkin method, the resulting algorithm can make the solution of the von Karman equations become very effective and accurate, as demonstrated by the case studies that the wavelet solutions on the deflection-load relations have better accuracy and less consumed computing time than that of other numerical methods including the finite element method and the meshless method.
项目编号	National Natural Science Foundation of China [11032006, 11472119, 11121202] ; Ph.D. Program Foundation of Ministry of Education of China [20100211110022] ; National Key Project of Magneto-Constrained Fusion Energy Development Program [2013GB110002] ; Fundamental Research Funds for the Central Universities [lzujbky-2013-1]
会议录	ARCHIVE OF APPLIED MECHANICS
资助机构	NSFC ; NSFC ; MOST ; MOST ; MOE ; MOE ; LZU ; LZU ; NSFC ; NSFC ; MOST ; MOST ; MOE ; MOE ; LZU ; LZU
会议录出版地	NEW YORK
文献子类	Article
学科主题	Mechanics
语种	英语
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 ; 高等学校博士学科点专项科研基金 ; 中央高校基本科研业务费专项资金
ISSN号	0939-1533
WOS记录号	WOS:000349852600006
内容类型	会议论文
源URL	[http://ir.lzu.edu.cn/handle/262010/121283]
专题	土木工程与力学学院_会议论文
通讯作者	Wang, JZ (reprint author), Lanzhou Univ, Coll Civil Engn & Mech, Key Lab Mech Disaster & Environm Western China, Minist Educ, Lanzhou 730000, Gansu, Peoples R China.
推荐引用方式 GB/T 7714	Zhang, L,Wang, JZ,Zhou, YH,et al. Wavelet solution for large deflection bending problems of thin rectangular plates[C]. 见:. Shanghai, PEOPLES R CHINA. AUG 12-15, 2013.