Unified proof to oscillation property of discrete beam

doi:10.1007/s10483-014-1817-6

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	Unified proof to oscillation property of discrete beam
	Zheng, Zi-jun ; Chen, Pu ; Wang, Da-jun
刊名	applied mathematics and mechanics english edition
	2014
关键词	oscillation property (OP) finite element method (FEM) finite difference method (FDM) Euler beam Timoshenko beam FINITE-ELEMENT MODELS EULER-BERNOULLI BEAM QUALITATIVE PROPERTIES INVERSE PROBLEM VIBRATING BEAM SYSTEMS
DOI	10.1007/s10483-014-1817-6
英文摘要	The oscillation property (OP) is a fundamental and important qualitative property for the vibrations of single span one-dimensional continuums such as strings, bars, torsion bars, and Euler beams. Any properly discretized continuum model should keep the OP. In literatures, the OP of discrete beam models is discussed essentially by means of matrix factorization. The discussion is model-specific and boundary-conditionspecific. Besides, matrix factorization is difficult in handling finite element (FE) models of beams. In this paper, according to a sufficient condition for the OP, a new approach to discuss the property is proposed. The local criteria on discrete displacements rather than global matrix factorizations are given to verify the OP. Based on the proposed approach, known results such as the OP for the 2-node FE beams via the Heilinger-Reissener principle (HR-FE beams) as well as the 5-point finite difference (FD) beams are verified. New results on the OP for the 2-node PE-FE beams and the FE Timoshenko beams with small slenderness are given. Through a simple manipulation, the qualitative property of discrete multibearing beams can also be discussed by the proposed approach.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000335727500008&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; Mechanics; SCI(E); EI; 0; ARTICLE; chenpu@pku.edu.cn; 5; 621-636; 35
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/154273]
专题	工学院
推荐引用方式 GB/T 7714	Zheng, Zi-jun,Chen, Pu,Wang, Da-jun. Unified proof to oscillation property of discrete beam[J]. applied mathematics and mechanics english edition,2014.
APA	Zheng, Zi-jun,Chen, Pu,&Wang, Da-jun.(2014).Unified proof to oscillation property of discrete beam.applied mathematics and mechanics english edition.
MLA	Zheng, Zi-jun,et al."Unified proof to oscillation property of discrete beam".applied mathematics and mechanics english edition (2014).