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	Exact dynamic stiffness method for non-uniform Timoshenko beam vibrations and Bernoulli-Euler column buckling
	Yuan, Si ; Ye, Kangsheng ; Xiao, Cheng ; Williams, F. W. ; Kennedy, D.
	2010-05-11 ; 2010-05-11
关键词	STURM-LIOUVILLE PROBLEMS NATURAL FREQUENCIES CLAMPED COLUMNS ALGORITHM SOFTWARE LOADS CODE Acoustics Engineering, Mechanical Mechanics
中文摘要	The exact dynamic stiffness method is further extended, using a recently developed approach for vibration of Bernoulli-Euler members, to flexural free vibration of non-uniform Timoshenko beams with gradual or stepwise non-uniformity of geometric and/or material properties and to Euler buckling of similarly non-uniform columns. Two key strategies are emphasized: (i) formulation of the governing ordinary differential equations (ODE) for dynamic stiffitesses and their derivatives and the solution of the ODE problem by standard ODE solvers; and (ii) establishment of mesh generation rules for the two problems. Extension of the method to three-dimensional frames with non-uniform members poses no major theoretical hurdles. Numerical examples, including challenging problems, are given to show the effectiveness, efficiency, accuracy and reliability of the proposed method which, unlike the finite element method, is exact and so can be iterated until any preset accuracy is achieved. (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/123456789/27266]
专题	清华大学
推荐引用方式 GB/T 7714	Yuan, Si,Ye, Kangsheng,Xiao, Cheng,et al. Exact dynamic stiffness method for non-uniform Timoshenko beam vibrations and Bernoulli-Euler column buckling[J],2010, 2010.
APA	Yuan, Si,Ye, Kangsheng,Xiao, Cheng,Williams, F. W.,&Kennedy, D..(2010).Exact dynamic stiffness method for non-uniform Timoshenko beam vibrations and Bernoulli-Euler column buckling..
MLA	Yuan, Si,et al."Exact dynamic stiffness method for non-uniform Timoshenko beam vibrations and Bernoulli-Euler column buckling".(2010).

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