Vibration Analysis of Non-Uniform Beams with an Arbitrary Number of Cracks

Abstract:

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 2×2 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.

• Periodical: Key Engineering Materials (Volumes 324-325)
• Pages: 303-306
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.324-325.303
• Online since: November 2006
• Authors: Zhi Gang Yu, Fu Lei Chu, Yue Cheng
• Keywords: Crack, Non-Uniform Beam, Transfer Matrix Method (TMM), Vibration Analysis (VA)

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