Synthesis of ground motion history compatible with the response spectrum with densified controlling points

Based on traditional frequency-domain response-spectrum-compatible method of ground motion, this paper proposes a synthesized method that can generate ground motion which is compatible with the target response spectrum with densified controlling points, and further compares the method with the classical one compatible with target response spectra of ground motion. This method takes into account the simulation of the acceleration envelope of the ground motion during each iteration adjustment for the initial non-stationary artificial ground motions generated by the trigonometric series superposition method, and the resulting ground-motion acceleration after the each iteration will undergo the baseline correction. Therefore, the synthesized ground motion generated by the proposed method can not only match the densified target spectrum with certain precision, but also satisfy the requirement of the envelope function of acceleration time history, and the integrated displacement curve does not present any baseline drift. Numerical results show that this method can not only match the target spectrum with relatively high convergence speed, but also fit the target envelope function with high precision. In addition, this method can realize baseline correction for the initial ground motion.