Vibration Analysis of a Beam with Multiple Cracks

Chang Li Xiao; Ling Ling Xu

doi:10.4028/www.scientific.net/AMM.178-181.2505

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 178-181Vibration Analysis of a Beam with Multiple Cracks

Vibration Analysis of a Beam with Multiple Cracks

Abstract:

A new method for the natural frequency analysis of a beam with multiple transverse cracks has been carried out. The method is called reverse modal analysis in this paper. The strain energy density function is used to evaluate the additional flexibility produced due to the presence of crack. Based on the flexibility, a new stiffness matrix is deduced and subsequently that is used to calculate the natural frequencies and mode shapes of the cracked beam. It has been established that the crack depths and their positions have an important effect on its dynamic behavior. The analysis of the crack structure is done using finite element and experimental analysis. The results from numerical analysis are compared with the results from the experimental method for validation. The results are found to be in good agreement.

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Periodical:

Applied Mechanics and Materials (Volumes 178-181)

Pages:

2505-2508

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.178-181.2505

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Online since:

May 2012

Authors:

Chang Li Xiao*, Ling Ling Xu

Keywords:

Beam with Multiple Cracks, Natural Frequency, Reverse Modal Analysis

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