A Uncorrelated Multi-Sources Dynamic Random Load Identification Algorithm Based on Least-Squares in Frequency
Because frequency dynamic load identification method will confront with the illness problem of finding the verse of coefficient matrix, a new multi-source load identification algorithm based on least-squares in frequency is proposed. Based on the assumptions of linear time-invariant system and uncorrelated of each load, this new algorithm combines transfer functions, least-squares of generalized matrix inverse in frequency. According to response signals of multi-spots, it can identify multi-sources dynamic random loads in frequency domain at the same time. Formula derivation, application scope and steps of this method were summarized then. In order to valid its effectiveness and reasonableness, the author carried out vibration and acoustic simulation in cylindrical shell at last. Load identification results of simulations showed that this new method could basically meet the dynamic random load precision requirement of ±3db.
Zhengyi Jiang, Yugui Li, Xiaoping Zhang, Jianmei Wang and Wenquan Sun
L. L. Ma et al., "A Uncorrelated Multi-Sources Dynamic Random Load Identification Algorithm Based on Least-Squares in Frequency", Applied Mechanics and Materials, Vols. 220-223, pp. 2240-2243, 2012