Bandlimited force identification based on sinc-dictionaries and Tikhonov regularization

Publication date: Available online 1 October 2019Source: Journal of Sound and VibrationAuthor(s): Li Wang, Jike Liu, Zhong-Rong LuAbstractA bandlimited force identification approach is proposed in this paper. It consists of two main ingredients. On the one hand, the sinc-dictionaries are established for bandlimited force representation. This motivates from the sampling formula that a bandlimited signal can be well interpolated by sinc functions. It is also noteworthy that using the sinc-dictionaries, the amount of variables is dramatically reduced. On the other hand, the Tikhonov regularization is introduced to circumvent the possible ill-posedness of force identification. In proceeding so, the generalized cross validation criterion is adopted to determine a proper regularization parameter. Numerical examples are conducted to testify the accuracy and efficiency of the proposed approach for bandlimited force identification.

Source: Journal of Sound and Vibration - October 3, 2019 Category: Physics Source Type: research