A new time-varying multivariate autoregressive (TVMAR) model method for modal parameter identification of linear time-varying (TV) systems with multi-output is introduced. Besides, a modified recursive least square method based on the traditional one is presented to determine the coefficient matrices of the TVMAR model. In the proposed method, multi-dimensional nonstationary response signals of the vibrating system can be processed simultaneously. Not only the TV modal frequency and damping ratio of the system, but also the changing behavior of the mode shape in the course of vibration are identified by the proposed procedure. Numerical simulations, in which a three-degree-of-freedom system with TV stiffness is respectively subjected to impulse excitation and white noise excitation, are presented. The validity and accuracy of the method are demonstrated by the good simulation results.
- Design Engineering Division and Computers and Information in Engineering Division
Modal Parameter Identification of Time-Varying Systems Using the Time-Varying Multivariate Autoregressive Model
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Liu, L, Liu, H, Wu, Z, Yuan, D, & Li, P. "Modal Parameter Identification of Time-Varying Systems Using the Time-Varying Multivariate Autoregressive Model." Proceedings of the ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 1: 20th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C. Long Beach, California, USA. September 24–28, 2005. pp. 1817-1822. ASME. https://doi.org/10.1115/DETC2005-84118
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