Probabilistic distribution estimation of residual deformation by numerical simulation considering variation and directivity of plastic deformations: Study on distribution of residual deformation after earthquakes, part 3

Abstract

Abstract This paper discusses a method to estimate the probability density function of the residual deformation of a bilinear single‐degree‐of‐freedom system with isotropic hardening or kinematic hardening; this method is more detailed compared to the “random walk”‐assuming methods proposed in previous reports. In this study, 2 parameters representing the difference between “random walk” and actual behaviors are utilized to estimate the standard deviation of residual deformations after earthquakes. A comparison of response analyses shows that the proposed method is more accurate in estimating the standard deviation of residual deformations, compared to methods assuming the “random walk” hypothesis.

Keywords

• bilinear restoring force characteristics
• energy input ratio
• probability distribution
• residual deformation
• seismic response