Determination of mode shapes of a multiple cracked beam element and its application for free vibration analysis of a multi-span continuous beam

Tran Van Lien, Trinh Anh Hao
Author affiliations

Authors

  • Tran Van Lien University of Civil Engineering, Hanoi, Vietnam
  • Trinh Anh Hao University of Civil Engineering, Hanoi, Vietnam

DOI:

https://doi.org/10.15625/0866-7136/35/4/2520

Keywords:

Shape functio, cracked beam, transfer matrix, natural frequency, mode shape

Abstract

This article presents some results on the determination of the vibration shape function of a multiple cracked elastic beam element, which is modeled as an assembly of intact sub-segments connected by massless rotational springs. Algorithms and computer programs to analyze changes of natural mode shapes of multiple cracked beams have been carried out. Numerical analysis of natural mode shapes of cracked simple support beams using the obtained expression shows a good agreement in comparison with the well-known analytical methods. The methodology approach and results presented in this article are new and basis for building an efficient method to identify cracks in beam structures using wavelet analysis of mode shapes.

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Published

22-11-2013

Issue

Section

Research Article