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	Symmetry's Applications to Bihamonic Equation and the Generalized Solution of Elasticity Problem
	Qin, Jian ; Huang, Kefu
	2011
关键词	SYM symmetry bihamonic equation invariant solution generalized solution
DOI	10.4028/www.scientific.net/AMM.52-54.899
英文摘要	The generalized elasticity solutions are obtained in this paper by symmetries from Lie transformations. The symmetries of the bihamonic equation are obtained by mathematica package SYM. The several invariant solutions are found by solving the corresponding ordinary differential equations from Lie transformations. The superposition of invariant solutions, corresponding to an eigenfunction expansion, could yield the generalized elasticity solutions in rectangular coordinates and polar coordinates, where the eigenvalues arises from the invariance of bihamonic equation.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000303781600157&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Engineering, Mechanical; EI; CPCI-S(ISTP); 0
语种	英语
内容类型	会议论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/316430]
专题	工学院
推荐引用方式 GB/T 7714	Qin, Jian,Huang, Kefu. Symmetry's Applications to Bihamonic Equation and the Generalized Solution of Elasticity Problem[C]. 见:.

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