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	Modal analysis of cantilever beams with an edge notch using asymptotic transfer function method
	Yu, Zhigang ; Feng, Xiang ; Wu, Xun ; Chu, Fulei
	2010-05-10 ; 2010-05-10
会议名称	DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS ; 2nd International Conference on Dynamics, Vibration and Control ; Beijing, PEOPLES R CHINA ; Web of Science
关键词	DAMAGE Mathematics, Applied
中文摘要	The purpose of this paper is to extend the asymptotic transfer function method to study the free transverse vibration of a cantilever beam with an edge notch. To overcome the difficulty in handling the abrupt geometrical changes of the notched beam, singularity functions is introduced and then the governing equation for the notched cantilever beam may be expressed in a continuous form. Laplace transformation is used to transform the time variable to obtain ordinary differential equation with complex parameter. Taking notch depth ratio as the small parameter and employing perturbation technique, the ordinary differential equation with variable coefficients are reduced to a group of ordinary differential equations with constant coefficients. Finally, converting these equations into the state-space from, the solution of boundary value problems can be obtained by the transfer function formulation. Comparison between the numerical results and the data calculated from finite element analysis indicates that the presented method has favorable accuracy. In addition, curvature mode shape and its application in damage identification are discussed.
会议录出版者	WATAM PRESS ; WATERLOO ; C/O DCDIS JOURNAL, 317 KAREN PLACE, WATERLOO, ONTARIO N2L 6K8, CANADA
语种	英语 ; 英语
内容类型	会议论文
源URL	[http://hdl.handle.net/123456789/19309]
专题	清华大学
推荐引用方式 GB/T 7714	Yu, Zhigang,Feng, Xiang,Wu, Xun,et al. Modal analysis of cantilever beams with an edge notch using asymptotic transfer function method[C]. 见:DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2nd International Conference on Dynamics, Vibration and Control, Beijing, PEOPLES R CHINA, Web of Science.

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