Bandlimited force identification based on sinc-dictionaries and Tikhonov regularization

• Published in: Journal of sound and vibration Vol. 464; p. 114988
• Main Authors: Wang, Li, Liu, Jike, Lu, Zhong-Rong
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Ltd 06.01.2020; Elsevier Science Ltd
• Subjects: Bandlimited force identification; Dictionaries; Efficiency; Force; Generalized cross validation; Numerical analysis; Optimization; Regularization; Regularization methods; Sinc-dictionaries; Tikhonov regularization; Bandlimited force identification; Generalized cross validation; Sinc-dictionaries; Efficiency; Tikhonov regularization
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1016/j.jsv.2019.114988

A 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. •A sinc-dictionaries-based Tikhonov regularization approach is proposed.•A bandlimited signal can be well interpolated using sinc functions.•Use of the sinc-dictionaries dramatically reduces the amount of variables.•GCV is used to determine the Tikhonov regularization parameter.•Numerical examples show the accuracy and efficiency of the proposed approach.