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A seismic response simulation method based on multiple-spring (MS) model and curve approximated hysteresis rules are proposed to predict nonlinear seismic response of steel bridge piers excited by bi-directional ground motions. A series of approximated curves and hysteretic rules are adopted to de-script the complicated nonlinear equivalent stress-strain relationship of spring elements at base of steel piers. An optimizing calculation based on parameter identify method is used to decide the six parameters of the constitutive relation from results of unidirectional cyclic loading tests. By comparing the results due to the simulation and pseudodynamic loading tests, the validity of the proposed method is also verified.

A Curves Approximated Multiple-Spring Model for Bi-Directional Seismic Response Simulation of Steel Bridge Piers