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EXPERIMENTAL IDENTIFICATION OF DISTRIBUTED DAMPING MATRICES USING THE DYNAMIC STIFFNESS MATRIX

HYLOK, JEFFERY EDWARD

Abstract Details

2002, MS, University of Cincinnati, Engineering : Mechanical Engineering.
Modeling of distributed damping characteristics are increasingly important for validating analytical structural models and correlating experimental and analytical data. In addition, damping mechanisms are a measure of structural conditions since they are sensitive to small structural changes. Thus, identification of localized changes in damping has uses in the field of damage identification. A new method to experimentally identify spatial damping, which was developed by Lee and Kim, has been studied in this research. The method fits matrix coefficient polynomials to the real and imaginary parts of the dynamic stiffness matrix (DSM, the inverse of the frequency response matrix). The real DSM coefficients represent dynamically conservative features of the system, namely mass and stiffness. The imaginary DSM coefficients model the dynamic energy removal mechanisms of the structure, namely damping. The greatest strength of the method is its simplicity and computational efficiency. Once data is collected experimentally, only two steps are required: a FRF matrix inversion (frequency line by line), and a polynomial fit for the real and imaginary components of the DSM. Since both DSM components are fit independently, the damping properties of a system may be identified without any prior knowledge about the system’s mass and stiffness. Likewise, the damping calculation is not subject to errors in any pre-determined structural values. The work is broken up into three segments. First, the DSM algorithm is derived and features of the algorithm are discussed. Next, the DSM algorithm is applied to several analytical systems and several qualitative and quantitative validation tools are presented. Finally, the DSM algorithm and validation tools are applied to three experimental case studies. Practical issues are discussed and benefits and limitations of the algorithm are observed.
Dr. David Brown (Advisor)

Recommended Citations

Citations

  • HYLOK, J. E. (2002). EXPERIMENTAL IDENTIFICATION OF DISTRIBUTED DAMPING MATRICES USING THE DYNAMIC STIFFNESS MATRIX [Master's thesis, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1029527404

    APA Style (7th edition)

  • HYLOK, JEFFERY. EXPERIMENTAL IDENTIFICATION OF DISTRIBUTED DAMPING MATRICES USING THE DYNAMIC STIFFNESS MATRIX. 2002. University of Cincinnati, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1029527404.

    MLA Style (8th edition)

  • HYLOK, JEFFERY. "EXPERIMENTAL IDENTIFICATION OF DISTRIBUTED DAMPING MATRICES USING THE DYNAMIC STIFFNESS MATRIX." Master's thesis, University of Cincinnati, 2002. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1029527404

    Chicago Manual of Style (17th edition)