QQ客服 官方微博 反馈留言

	Improved eigenvalues for combined dynamical systems using a modified finite element discretization scheme
	Cha, Philip D. ; Zhou, Xiang
	2010-05-10 ; 2010-05-10
关键词	ELASTICALLY MOUNTED MASSES UNIFORM TIMOSHENKO BEAMS BERNOULLI-EULER BEAM FREE-VIBRATIONS ALTERNATIVE FORMULATIONS NATURAL FREQUENCIES LOCAL MODIFICATIONS MATRIX CORRECTION CANTILEVER BEAM LINEAR SYSTEMS Acoustics Engineering, Mechanical Mechanics
中文摘要	New approaches are presented to discretize an arbitrarily supported linear structure carrying various lumped attachments. Specifically, the exact eigendata, i.e., the exact natural frequencies and mode shapes, of the linear structure without the lumped attachments are first used to modify its finite element mass and stiffness matrix so that the eigensolutions of the discretized system coincide with tile exact modes of vibration. This is achieved by identifying a set of minimum changes in the finite element system matrices and enforcing certain constraint conditions. Once the updated matrices for the linear structure are found, the finite element assembling technique is then used to include the lumped attachments by adding their parameters to the appropriate elements in the modified mass and stiffness matrices. Numerical experiments show that for the same number of elements, the proposed scheme returns higher natural frequencies that are substantiallly more accurate than those given by the finite element model. Alternatively, the proposed discretization scheme allows one to efficiently and accurately determine the higher natural frequencies of a combined system without increasing the number of elements in the finite element model. (c) 2007 Elsevier Ltd. All rights reserved.
语种	英语 ; 英语
出版者	ACADEMIC PRESS LTD ELSEVIER SCIENCE LTD ; LONDON ; 24-28 OVAL RD, LONDON NW1 7DX, ENGLAND
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/22547]
专题	清华大学
推荐引用方式 GB/T 7714	Cha, Philip D.,Zhou, Xiang. Improved eigenvalues for combined dynamical systems using a modified finite element discretization scheme[J],2010, 2010.
APA	Cha, Philip D.,&Zhou, Xiang.(2010).Improved eigenvalues for combined dynamical systems using a modified finite element discretization scheme..
MLA	Cha, Philip D.,et al."Improved eigenvalues for combined dynamical systems using a modified finite element discretization scheme".(2010).

个性服务

查看访问统计

相关权益政策

暂无数据

收藏/分享

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。