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| Random distribution of shear modulus of soils and interval estimation of ground vibration transfer function |
| CAO Yanmei，LI Dongwei，LI Zhe |
| (School of Civil Engineering，Beijing Jiaotong University，Beijing 100044，China) |
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Abstract In order to explore the probabilistic distribution model of non-deterministic parameters of soils and its effect on random vibration of the site，the dispersion image of the site soil is obtained by multi-channel analysis of surface wave(MASW)testing combined with frequency-wavenumber method，and a prior probability model of the shear modulus of the soil varying with depth is established. Based on Bayesian theory and Monte Carlo Markov Chain-Metropolis-Hastings algorithm，a posterior probability model of non-deterministic parameters of the soil is achieved and its convergence and independence are validated respectively. Finally，a new method for predicting the vibration transfer function by means of the confidence interval with certain confidence level is proposed，in which the validated posterior probability model is combined with the kernel density estimation of the random response of the ground vibration. The proposed non-deterministic prediction method is also compared with the experiment results and the traditional deterministic vibration prediction methods. The results show that the posterior shear modulus has obvious randomness in spatial depth，and the non-deterministic shear modulus distribution has a greater impact on the prediction and evaluation of environmental vibration. The vibration interval estimation obtained from the probability model of the non-deterministic parameters of soils has great engineering application value.
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2021, Vol. 40 
