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A Structural Damage Identification Method Based on Unified Matrix Polynomial Approach and Subspace Analysis

Zhao, Wancheng

Abstract Details

2008, MS, University of Cincinnati, Engineering : Mechanical Engineering.
Vibration based damage detection of engineering structures has become an important and difficult issue for the last couple of decades. Research in vibration based structural damage detection has been rapidly expanding from traditional modal parameter estimation based techniques to modern feature based, online monitoring techniques. However, there is still a need for a universal structural damage detection method that does not depend on modal parameter estimation, finite element model or specific structural type. This research outlines and validates a Unified Matrix Polynomial Approach (UMPA) and subspace analysis based structural damage detection method. UMPA presents a theoretical basis and a fundamental mathematical framework for experimental modal parameter estimation algorithms while Singular Value Decomposition (SVD) based subspace analysis provides an mechanism to extract and compare the characteristic features from this mathematical framework to detect structural damage. Simulations were performed on an analytical 15 Degree of Freedom (DOF) mass-spring-damper system and a lightly damped circular plate finite element model to validate and assess the proposed structural damage detection method. The results show that the proposed method successfully identifies structural damage under all test conditions. The proposed method has a significant resistance to measurement uncertainty, has a good consistency with the severity of the damage and is applicable to various structural damage locations.
Randall J. Allemang, PhD (Committee Chair)
Teik C. Lim, PhD (Committee Member)
Allyn W. Phillips, PhD (Committee Member)
73 p.

Recommended Citations

Citations

  • Zhao, W. (2008). A Structural Damage Identification Method Based on Unified Matrix Polynomial Approach and Subspace Analysis [Master's thesis, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1206652627

    APA Style (7th edition)

  • Zhao, Wancheng. A Structural Damage Identification Method Based on Unified Matrix Polynomial Approach and Subspace Analysis. 2008. University of Cincinnati, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1206652627.

    MLA Style (8th edition)

  • Zhao, Wancheng. "A Structural Damage Identification Method Based on Unified Matrix Polynomial Approach and Subspace Analysis." Master's thesis, University of Cincinnati, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1206652627

    Chicago Manual of Style (17th edition)