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Xu Zhangming
Shen Rongying
Hua Hongxing
State Key Laboratory of Vibration,
Shock and Noise,
Shanghai Jiaotong University, Shanghai 200030, China |
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VIBRATING VELOCITY
RECONSTRUCTION
USING IBEM AND TIKHONOV REGULARIZATION
Abstract:
The inverse problem to determine the vibrating velocity from known exterior field measurement pressure, involves the solution of a discrete ill-posed problem. To facilitate the computation of a meaningful approximate solution possible, the indirect boundary element method (IBEM) code for investigating vibration velocity reconstruction and Tikhonov regularization method by means of singular value decomposition (SVD) are used. The amount of regularization is determined by a regularization parameter. Its optimal value is given by the L-curve approach. Numerical results indicate the re-constructed normal surface velocity is a good approximation to the real source.
Key words: Vibrating velocity reconstruction Tikhonov regularization Singular value decomposition Indirect boundary method
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