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An identification of wave propagation based on a single-point measurement |
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| Authors: | SH Kwon CH Kim TS Jang |
| Institution: | aCivil Engineering Department, Texas A&M University, College Station, USA;bCivil Engineering Department, Texas A&M University, College Station, USA;cDepartment of Naval Architecture and Ocean Engineering, Pusan National University, Busan 609 735, Republic of Korea |
| Abstract: | This study presents the identification of wave propagation using the information measured at a fixed point. The mathematical model used to carry out this research is an integral equation. The equation turned out to be a Fredholm integral equation of the first kind. The discretized matrix equation yielded an ill-conditioned system. To secure the stability of the system, Tikhonov regularization was applied to the ill-conditioned system. The analysis of the numerical computation proved that the regularization was able to retain the target spectrum. |
| Keywords: | Wave propagation Ill-conditioned matrix Singular value decomposition |
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