›› 2018, Vol. 39 ›› Issue (10): 3623-3630.doi: 10.16285/j.rsm.2017.0195

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Analysis of relationship between dynamic shear strain and vibration velocity of horizontal soil layers

LI Rui-shan, YUAN Xiao-ming, LI Cheng-cheng   

  1. Key Laboratory of Earthquake Engineering and Engineering Vibration, Institute of Engineering Mechanics, China Earthquake Administration, Harbin, Heilongjiang 150080, China
  • Received:2017-05-11 Online:2018-10-11 Published:2018-11-04
  • Supported by:
    This work was supported by the Scientific Research Fund of Institute of Engineering Mechanics, China Earthquake Administration(2018A01), the Program for Innovative Research Team in China Earthquake Administration (2016PIRTCEA07) and the National Natural Science Foundation of China(51378479).

Abstract: Equivalent linearization in frequency domain, represented by SHAKE2000, is the mainstream approach for seismic response analysis of soil layers. Due to the severe unreasonable results in soft soil sites, its improvement becomes a research hotspot, which mainly adopts frequency-dependent method (FDM), but there has been no substantial improvement. This paper assumes that dynamic shear strain and vibration velocity present a constant proportional relationship in FDM. Based on wave equation, exact solutions for the relationship of the two variables were derived on three typical site models, i.e., the homogeneous half space with one-way traveling wave, the single uniform soil layer, and the layered soil site. The reasonability and deviation degree of the assumption were studied through numerical experiments. Results show that the constant proportional hypothesis only applies in the case of unbounded homogeneous medium with one-way traveling wave. For actual layered soil sites, the relationship between dynamic shear strain and vibration velocity strongly depends on the frequency of the wave and the location of the observation point. If we ignore the reflection wave in ground seismic response analysis, the use of constant proportion assumption under one-way traveling wave will make significant deviation to the results. The deviation caused by the assumption may span four orders of magnitude. Even for a single uniform deposit, the deviation is also very significant. For practical ground motion calculation, this assumption clearly exists qualitative error in theory, and the quantitative deviation can not be acceptable, so it must be abandoned and need to find another more reasonable approach.

Key words: loading frequency, dynamic shear strain, vibration velocity, seismic response analysis, equivalent linear method

CLC Number: 

  • TU 435
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