The Proceedings of the Dynamics & Design Conference
Online ISSN : 2424-2993
2018
Session ID : 330
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Estimation of a Force to Structures using Singular Value Decomposition and Regularization Method
(Investigation of Estimation Accuracy Related to Excited Locations)
*Junichi HINOTakuro MORIZANE
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Abstract

The vibration and noise problems of machine in operation occur frequently. Various works related to the transfer path analysis (TPA) have been published to overcome these problems. The estimation of excitation forces of mechanical structures is one of important issues in TPA. The excitation forces have been generally estimated in frequency domain. However, many researchers recently attempt to estimate excitation forces in time domain. The purpose of this study is the development of an estimation procedure in time domain for the excitation forces. An advantage of the procedure in time domain is the estimation of transient input signals. Therefore, impulsive forces as a transient excitation signal are estimated. In this study, the input signal is obtained by solving the inverse problem of the input - output relational expression. When solving the inverse problem, we often become an ill condition. In this study, we solve the ill posed problem using singular value decomposition and Tikhonov regularization. The validity of the proposed procedure is verified by numerical calculations and experiments for a multi degree of freedom system and cantilever beam.

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© 2018 The Japan Society of Mechanical Engineers
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