Research Article | OPEN ACCESS
Shift-Relaxation Combined Approximations Method for Structural Vibration Reanalysis of Near Defective Systems
1Shijia Zhao, 1Tao Xu, 1Wei Zhang, 2Yanjuan Hu and 1Bin Li
1College of Mechanical Science and Engineering, Jilin University, Changchun 130022,
People’s Republic of China
2School of Mechatronic Engineering, Changchun University of Technology, 130012, China
Research Journal of Applied Sciences, Engineering and Technology 2013 7:1192-1199
Received: August 24, 2012 | Accepted: September 19, 2012 | Published: July 05, 2013
Abstract
Structural reanalysis for defective systems and the near defective systems is discussed in this paper. Specially, by a relaxation factor embedded in the Combined Approximations (CA) approach and a frequency shift, the reanalysis problem of near defective systems with close eigenvalues can be transformed into one of defective systems with repeated ones, which is equal to the average of the close ones. Numerical examples show that the proposed method is effective and stable in reanalysis problem of near defective systems.
Keywords:
Close frequencies, generalized modal theory, structural modification, vibration system,
Competing interests
The authors have no competing interests.
Open Access Policy
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Copyright
The authors have no competing interests.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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