Variability of Nonlinear Dynamic Shear Modulus and Damping Ratio of Soils

Abstract eng:
The dynamic shear modulus and damping ratio of soils are two important parameters in soil property and affect earthquake ground motion greatly. The laboratory experimental results at present show a significant variation because of the soil complication. Studying the uncertainty of the dynamic shear modulus and damping ratio is quite helpful for understanding the nonlinear behavior of soils. Also, the quantitative results of the variability are one of basic elements of the reliability analysis for the ground motion and structure damage. However, the related research at present mostly concentrates on the static problem and the study on dynamics parameters especially nonlinear uncertainty problem is rare. In this paper, the uncertainty of the nonlinear dynamic shear modulus and damping ratio is investigated and the quantitative results for five typical soils are presented. The original experiment data of dynamic shear modulus and damping ratio of 588 groups from 17 provinces, 42 cities in China are collected. The standard relation of dynamic shear modulus and damping ratio with the shear strain, i.e., G/Gmax-γ and λ-γ, fitted by the hyperbolic model are attained. For the eight typical shear strain points in the nonlinear scope, the uncertainty of dynamic shear modulus and damping ratio is conducted. The distribution characteristics of the dynamic shear modulus and damping ratio for the eight typical shear strain points is given, separately, and the normal distribution is verified by two methods. Based on these, the reference value range of 95% probability, the maximum value, the minimum value, the mean value, the standard deviation and the coefficient variation are presented finally.

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