特異値分解と正則化法を用いた構造物に対する加振力の推定

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タイトル別名
  • Estimation of a Force to Structures using Singular Value Decomposition and Regularization Method
  • （加振位置に関する推定精度の検討）
  • (Investigation of Estimation Accuracy Related to Excited Locations)

抄録

<p>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.</p>

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