Structural Physical Parameter Identification of Nonlinear Parametric System in Time Domain
The modified Levenberg-Marquardt (mLM) method is introduced for nonlinear parametric system, such as stiffness proportional damping and Rayleigh proportional damping. Since the mLM method is sensitive to the initial values of parameter, a SVD-mLM method is proposed with combination of singular value decomposition (SVD). Parameter identification of five-storey shear-type is simulated with incomplete output. The results show that the identified parameters have high precision, and the proposed method is effective and robust on noise.
X. J. Wang and J. Cui, "Structural Physical Parameter Identification of Nonlinear Parametric System in Time Domain", Applied Mechanics and Materials, Vols. 94-96, pp. 1040-1043, 2011