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Homotopy Iteration Algorithm for Crack Parameters Identification with Composite Element Method
Joint Authors
Lv, Zhongrong
Liu, Jike
Huang, Ling
Chen, Weihuan
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-26
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Huang, Ling& Lv, Zhongrong& Chen, Weihuan& Liu, Jike. 2013. Homotopy Iteration Algorithm for Crack Parameters Identification with Composite Element Method. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1031953
Modern Language Association (MLA)
Huang, Ling…[et al.]. Homotopy Iteration Algorithm for Crack Parameters Identification with Composite Element Method. Mathematical Problems in Engineering No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-1031953
American Medical Association (AMA)
Huang, Ling& Lv, Zhongrong& Chen, Weihuan& Liu, Jike. Homotopy Iteration Algorithm for Crack Parameters Identification with Composite Element Method. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1031953
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1031953