homotopy iteration algorithm for crack parameters identification with composite element method

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ID: 221140
2013
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Abstract
An approach based on homotopy iteration algorithm is proposed to identify the crack parameters in beam structures. In the forward problem, a fully open crack model with the composite element method is employed for the vibration analysis. The dynamic responses of the cracked beam in time domain are obtained from the Newmark direct integration method. In the inverse analysis, an identification approach based on homotopy iteration algorithm is studied to identify the location and the depth of a cracked beam. The identification equation is derived by minimizing the error between the calculated acceleration response and the simulated measured one. Newton iterative method with the homotopy equation is employed to track the correct path and improve the convergence of the crack parameters. Two numerical examples are conducted to illustrate the correctness and efficiency of the proposed method. And the effects of the influencing parameters, such as measurement time duration, measurement points, division of the homotopy parameter and measurement noise, are studied.
Reference Key
huang2013mathematicalhomotopy Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Ling Huang;Zhongrong Lv;Weihuan Chen;Jike Liu
Journal journal of power sources
Year 2013
DOI
10.1155/2013/524562
URL
http://dx.doi.org/10.1155/2013/524562
Keywords
civil engineering (general)mathematics engineering (general)

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