The research for mechanics stimulation method of nonlinear random vibration based on statistical linear theory

摘要

Earthquake disasters have brought great harm to people's life safety and economic property. Itseffect on fabric mainly focus on random effects currently, the general pseudo excitation method could solve theinefficiency calculation problem of linear random earthquake. However it could not take the nonlinear problemfactors into account for calculation. In this paper, we suggest that a nonlinear structural incentive methodshould be improved based on statistical linearity to calculate and solve absolute displacement value. Throughthe analysis and research for cases, we calculate the displacement, speed, random vibration spectrum of bridge’saccelerated speed, as well as the influencing situation of axial force. The results indicate that such perfectincentive method could not only perform nonlinear structure analysis, but also to be very accurate and higheffective. Such method could reasonably avoid the displacement decomposition and solution of the pseudostaticmodel?thus it will be widely applied in common software.