In order to make the frequency independent hysteresis damping in site seismic response analysis equivalent to the viscous damping for time domain analysis

an optimization method is proposed to optimize the conversion frequency of hysteresis damping

and on this basis

the optimization method of equivalent Rayleigh damping calculation is constructed. Firstly

the objective function is constructed by minimizing the cumulative acceleration error of the equivalent viscous damping system of the single degree of freedom hysteretic damping system

and the optimization algorithm of the hysteretic damping conversion frequency is established. Then

taking 21 seismic waves as input

the effects of natural frequency

hysteresis damping ratio and dominant frequency on the hysteresis damping conversion frequency are analyzed statistically. The results show that the optimal conversion frequency of hysteretic damping is mainly affected by the natural frequency

while the influences of hysteretic damping ratio and dominant frequency are very small. On this basis

taking the minimum ground acceleration response error as the objective function

the constrained optimization equation for solving Rayleigh damping coefficient is established. Finally

taking the seismic response of a valley site as an example

the computational accuracy of the proposed method and the traditional Rayleigh damping structure method are analyzed and compared

and the accuracy and effectiveness of the proposed method are verified.