An Approximate Method of Response Analysis of Vibrations for Cracked Beams

Chen Mengcheng; Tang Renji

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Chen Mengcheng, Tang Renji. An Approximate Method of Response Analysis of Vibrations for Cracked Beams[J]. Applied Mathematics and Mechanics, 1997, 18(3): 203-209.

Citation:

Chen Mengcheng, Tang Renji. An Approximate Method of Response Analysis of Vibrations for Cracked Beams[J]. Applied Mathematics and Mechanics, 1997, 18(3): 203-209.

Citation:

Chen Mengcheng, Tang Renji. An Approximate Method of Response Analysis of Vibrations for Cracked Beams[J]. Applied Mathematics and Mechanics, 1997, 18(3): 203-209.

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An Approximate Method of Response Analysis of Vibrations for Cracked Beams

Department of Engineering Mechanics, Shanghai Jiaotong Universiy, Shanghai 200030, P. R. China

Received Date: 1995-06-20
Publish Date: 1997-03-15

Abstract

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 conjumction 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 hinge-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.
- cracked beam,
- line-spring model,
- response of natural frequency

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References(8)

References

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