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| Inverse analysis of characteristics and reliability of sand shear modulus and damping ratio through dynamic centrifuge tests |
| WANG Yongzhi1,2,WANG Tiqiang1,2,YUAN Xiaoming1,2,ZHANG Xuedong3,CHEN Zhuoshi1,2 |
| (1. Key Laboratory of Earthquake Engineering and Engineering Vibration,Institute of Engineering Mechanics,China Earthquake Administration,Harbin,Heilongjiang 150080,China;2. Key Laboratory of Earthquake Disaster Mitigation,Ministry of Emergency Management,Harbin,Heilongjiang 150080,China;3. Department of Geotechnical Engineering,China Institute of Water Resources and Hydropower Research,Beijing 100048,China) |
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Abstract The inverse analysis method for obtaining shear stress-strain response in soil based on acceleration array records has been applied in model tests and strong earthquake observations,but there are few studies on calculation of the corresponding shear modulus and damping ratio. A set of dynamic centrifugal model tests are used to discuss the characteristics and influencing factors of dynamic modulus,maximum modulus and damping ratio with the inverse analysis method based on acceleration array records,and its reliability is evaluated in combination with the classic formula. The results show that the dynamic modulus and the damping ratio are concentrated in the shear strain range of 0.01%—1%,and the data scatter is small. The variation trends of the dynamic modulus and the damping ratio with the shear strain,buried depth and void ratio are consistent with the general consensus,which reflects the rationality of the integral method and shear beam distribution function. The dynamic modulus and damping ratio data under different buried depths and loadings all obey the Hardin hyperbolic model well,and the correlation coefficients are larger than 0.98 and 0.97,respectively. The maximum modulus is negatively correlated with the void ratio and grows linearly with the buried depth,which proves the compacting effect of the vibration loads on the soil. Compared with the soil element test results,the shear modulus obtained in the model test is slightly lower while the damping ratio is slightly higher,which are related to the stress boundaries and loading methods of the element tests. The inverse analysis reliability of the shear stress-strain constitutive relation,shear modulus and damping ratio in dynamic centrifuge model tests is estimated qualitatively and quantitatively. The research work and conclusions provide important suggestions and useful references for the development of data analysis methods in dynamic centrifuge test and the insight of soil dynamic constitutive relation.
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