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An approximate method of response analysis of vibrations for cracked beams

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Abstract

In this paper a method based on a line-spring model was proposed to analyze approximately vibration responses of cracked beams. The method in conjunction with the Euler-Bernoulli beam theory, modal analysis and fracture mechanics principle was applied to derive a characteristic equation for the cracked beam vibration. As application examples, natural frequency responses for a cracked hinged-hinged beam and a cracked cantilever beam were examined. It was shown that the present solutions obtained are quite in agreement with the solutions or experimental results in available references.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Shanghai Jiaotong University, 200030, Shanghai, PR China

    Chen Mengcheng & Tang Renji

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  1. Chen Mengcheng
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  2. Tang Renji
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Mengcheng, C., Renji, T. An approximate method of response analysis of vibrations for cracked beams. Appl Math Mech 18, 221–228 (1997). https://doi.org/10.1007/BF02453364

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  • DOI: https://doi.org/10.1007/BF02453364

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