STUDY ON PROBABILITY DISTRIBUTION OF RESIDUAL DEFORMATION OF BI-LINEAR SDOF SYSTEM AFTER EARTHQUAKES BASED ON ASSUMPTION OF RANDOM WALK

Study on distribution of residual deformation after earthquakes Part 2

Abstract

The probability distribution of the residual displacement of a bi-linear single-degree-of-freedom system with isotropic hardening rule or kinematic hardening rule is discussed in this paper. From dynamic analysis results, it is shown that the dynamic behavior with isotropic hardening model agrees with the hypothesis, but the kinematic hardening model does not. In order to eliminate the shortcoming, the absorbed energy at every single plastic deformation is assumed constant in addition to the original random walk hypothesis. The probability distribution estimated under the hypothesis showed good agreement with the dynamic response results with kinematic hardening model.