Open AccessDynamic Analysis of Influence of Soil Damping Nonlinearity on Foundation Stability
Author(s) -
Ye Ingrid Yin,
Tian Xin,
Milan Lama,
Zhiying Zhang
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/780/4/042018
Subject(s) - catastrophe theory , nonlinear system , instability , foundation (evidence) , cusp (singularity) , bearing capacity , bifurcation , structural engineering , quadratic equation , control theory (sociology) , stability (learning theory) , mechanics , mathematics , geotechnical engineering , engineering , computer science , physics , law , geometry , control (management) , quantum mechanics , artificial intelligence , machine learning , political science
Aiming at the sliding instability problem of foundation-based system under the action of earthquake and other dynamics, nonlinear cusp catastrophe analysis model which conforms the actual working behavior of foundation-based system is established by using the catastrophe theory. It describes the whole process of catastrophic instability of the system and analyze the basic stability. Based on the research of many nonlinear factors contained in the system that has been considered so far, the inherent influence of the nonlinear factors of soil damping in the actual working environment is considered and analyzed for the first time. Under the linear, quadratic and cubic nonlinear conditions, the most general expression of soil damping reflecting the system’s instability and catastrophe of the system bifurcation set is derived. The results show that the nonlinear characteristics of damping directly affect the correct evaluation of the ultimate bearing capacity of the foundation. Although ignoring the nonlinear influence of damping will not change its catastrophic properties, but will underestimate the ultimate bearing capacity of the foundation.