Bayesian method for structural physical parameter identification based on an improved SCAM algorithm

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (6) : 121-126.

ZHAO Yinan，GONG Maosheng，ZUO Zhanxuan，GAO Yanbin

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Abstract

The traditional SCAM (single component adaptive Metropolis) algorithm was improved to solve the problems such as repetitive samples, low sampling efficiency and large error.A new expression for the variance of the proposal distribution was defined and proposed to make the Markov chain, composed of sample sequences, relatively stable.Then, the Bayesian theory and the improved SCAM algorithm were combined to obtain the posterior marginal probability distribution and optimal estimation value of structural physical parameters to identify structural damages.The effectiveness of the improved SCAM algorithm was verified by the theoretical analysis and numerical simulation.The results show that the improved SCAM algorithm raises not only the accuracy of calculation results, but also the sampling efficiency.The method can be applied to physical parameter identification, damage identification and damage evaluation.

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structural physical parameter identification / Bayesian estimation / Markow Chain Monte Carlo(MCMC) sampling / proposal distribution / single component adaptive Metropolis(SCAM) algorithm

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ZHAO Yinan，GONG Maosheng，ZUO Zhanxuan，GAO Yanbin. Bayesian method for structural physical parameter identification based on an improved SCAM algorithm[J]. Journal of Vibration and Shock, 2021, 40(6): 121-126

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