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	Vibration analysis of non-uniform beams with an arbitrary number of cracks
	Yu, Zhigang ; Chu, Fulei ; Cheng, Yue
	2010-05-10 ; 2010-05-10
会议名称	Fracture and Damage Mechanics V, Pts 1 and 2 ; 5th International Conference on Fracture and Damage Mechanics ; Harbin, PEOPLES R CHINA ; Web of Science
关键词	non-uniform beam crack vibration analysis transfer matrix method NATURAL FREQUENCIES MULTIPLE CRACKS Materials Science, Ceramics Materials Science, Composites
中文摘要	In this paper, a method is presented to facilitate the computation of dynamic properties of non-uniform beams with any number of cracks. Based on the Frobenius method, an analytical solution of vibration equation of non-uniform beams is obtained. In combination with the line spring model of crack, the transfer matrices for non-uniform beam element and crack are established respectively. Then the global transfer matrix can be simply formulated, from which the frequency equation in the form of 2x2 determinant is derived. Due to the decrease in the determinant order as compared with previously developed procedures, significant savings in the computational task would be achieved by the present method.
会议录出版者	TRANS TECH PUBLICATIONS LTD ; STAFA-ZURICH ; LAUBLSRUTISTR 24, CH-8717 STAFA-ZURICH, SWITZERLAND
语种	英语 ; 英语
内容类型	会议论文
源URL	[http://hdl.handle.net/123456789/19499]
专题	清华大学
推荐引用方式 GB/T 7714	Yu, Zhigang,Chu, Fulei,Cheng, Yue. Vibration analysis of non-uniform beams with an arbitrary number of cracks[C]. 见:Fracture and Damage Mechanics V, Pts 1 and 2, 5th International Conference on Fracture and Damage Mechanics, Harbin, PEOPLES R CHINA, Web of Science.

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