Equivalent Load Identification Algorithm Based on Least-squares in Frequency Domain
Because the real load location of structure in working condition is unknown or cannot be reached, a new equivalent load identification algorithm in frequency domain is proposed. This new algorithm can guarantee the same vibration response signals for key examination points and can reach purposes of reliability test and environmental adaptability test then. Based on the assumptions of linear system and uncorrelated of each load, combined transfer functions, least-squares of generalized matrix inverse in frequency domain, this new algorithm identify multi-sources loads at the same time. In this new algorithm, the Identification load location, direction and form can be specify prior and not be the same with real load location, the boundary condition of structure in test cannot be the same with working condition. Formula derivation, application scope and steps of this method were summarized then. Load identification results of vibration simulations in cylindrical shell showed that this new method could basically meet the engineering precision requirement of ± 3db at last, which valid the effectiveness and reasonableness of this method.
Guangfan Li and Chaohe Chen
C. Wang and J. Gou, "Equivalent Load Identification Algorithm Based on Least-squares in Frequency Domain", Applied Mechanics and Materials, Vols. 275-277, pp. 2677-2680, 2013