不同概率水准下动剪切模量比与阻尼比上、下限的计算

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Abstract ：By using experimental results，the upper and lower limits of the nonlinear curves of the dynamic shear modulus ratio and damping ratio for conventional soils under different probabilities are investigated. The method and formula for calculating the probabilistic zones of the two dynamic parameters for the cohesive and cohesionless soils under the typical shear strains are presented. The approach is that the experimental results are ordered by the standard way，and the distribution form of variability of two dynamic parameters is obtained by the frequency distribution diagram，the tests of normality diagram and the SAS software. According to different distribution forms，the probabilities of the upper and lower limits of the two parameters under typical shear strains are calculated. The results indicate that the relation between the upper and lower limits of the two dynamic parameters and their probabilities can be described by the Boltzmann equation，in which the parameters depend on the soil type and the shear strain. For all probabilities，the ranges of the shear modulus ratio for different shear stains are obviously different while the most ones appear at 10－4–10－3 of the shear strain. For the same probability，the range of the damping ratio increases with increasing shear strain. The proposed formula for calculating the probabilistic zones of the two dynamic parameters lays a foundation for the reliability theory in soil dynamics and earthquake engineering to some extent；and it also can directly supply the technical support to the risk evaluation of a seismic design and seismic safety of engineering structures.

Key words： soil mechanics dynamic shear modulus ratio damping ratio variability upper and lower limits probability

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	Articles by authors
	YUAN Xiaoming1
	SUN Rui1
	CHEN Hongjuan2

Cite this article:

YUAN Xiaoming1,SUN Rui1,CHEN Hongjuan2. CALCULATION FOR UPPER AND LOWER LIMITS OF DYNAMIC SHEAR MODULUS RATIO AND DAMPING RATIO UNDER DIFFERENT PROBABILITIES[J]. , 2010, 29(S2): 3930-3940.

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https://rockmech.whrsm.ac.cn/EN/Y2010/V29/IS2/3930

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