Journal of Jishou University(Natural Sciences Edition)

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Natural Frequencies of Transverse Vibration of Cantilever Rayleigh Beams

TANG Anye,WANG Ziguo   

  1. (College of Resources and Planning Sciences,Jishou University,Zhangjiajie 427000,Hunan China)
  • Online:2017-03-25 Published:2017-04-26

Abstract:

Considering the rotary inertia based on the Euler-Bernoulli beams,the transverse vibration of a cantilever beam is studied.The widely applicable integral equation method is employed to obtain the approximate solutions of characteristic equation and then the natural frequencies of a cantilever beam.Comparison of the numerical solutions obtained through integral equation method,stress function method,and ritz method shows the effectiveness of the integral equation method.

Key words: cantilever Rayleigh beam, transverse vibration, natural frequency, integral equation

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