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Load Identification using Matrix Inversion Method (MIM) for Transfer Path Analysis (TPA)

Komandur, Deepak K
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1563872419648032

Abstract Details

2019, MS, University of Cincinnati, Engineering and Applied Science: Mechanical Engineering.
The main objective of this work was to assess the practical application of using matrix inversion method (MIM) for the transfer path analysis (TPA) process. An analysis of the basic transfer path analysis process using matrix inversion can help understand the accuracy of the matrix inversion process prior to studying the operational transfer path analysis process. The essence of the matrix inversion method is based on the idea that the operational forces in the system can be recalculated based on a frequency response function (FRF) measurement, in case the operational forces cannot be measured during operation. An operational system, therefore, is broken down into two parts an active subsection and a passive subsection. The response data is measured during operation and the FRF are measured when the source is disconnected so that a product of the FRF between the mounting location and the receiver location with the force input into the system would give the response equal to the operational response. However, as the FRF matrix has to be inverted in order to calculate the forces, the errors present in the measurement of the FRF are amplified during the inversion process leading to inaccurate results. In order to get better results methods such as, the Moore-Penrose pseudo inverse and singular value decomposition (SVD) of the FRF matrix based on various threshold criteria has been investigated. An attempt has been made to identify which of the methods would prove with an accurate presentation of the force and responses of the system. During the course of this thesis, it had been discovered the application of the above methods would depend on the experimental setup in use and that one would have to investigate a few methods simultaneously to understand the system better based on the results.
Randall Allemang, Ph.D. (Committee Chair)
Aimee Frame, Ph.D. (Committee Member)
Allyn Phillips, Ph.D. (Committee Member)
68 p.
Mechanical Engineering
Transfer path analysis; Matrix inversion process; Regularization techniques

Recommended Citations

Citations

  • Komandur, D. K. (2019). Load Identification using Matrix Inversion Method (MIM) for Transfer Path Analysis (TPA) [Master's thesis, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1563872419648032

    APA Style (7th edition)

  • Komandur, Deepak. Load Identification using Matrix Inversion Method (MIM) for Transfer Path Analysis (TPA). 2019. University of Cincinnati, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1563872419648032.

    MLA Style (8th edition)

  • Komandur, Deepak. "Load Identification using Matrix Inversion Method (MIM) for Transfer Path Analysis (TPA)." Master's thesis, University of Cincinnati, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1563872419648032

    Chicago Manual of Style (17th edition)

ucin1563872419648032
561
© 2019, some rights reserved.Creative Commons License Load Identification using Matrix Inversion Method (MIM) for Transfer Path Analysis (TPA) by Deepak K Komandur is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. Based on a work at etd.ohiolink.edu.
This open access ETD is published by University of Cincinnati and OhioLINK.