Successive formula method for numerical analysis of vibrating response

The algorithm of successive formulas for computing numerical vibrating response of unequal time interval for a single-degree of freedom oscillator in linear cases are more systematically introduced in the paper. Some numerical analysis characteristics of the algorithm are discussed. It is proved that the algorithm is unconditionally stable and convergent. A computer program for simultaneous calculation of the relative displacement, the relative velocity and the absolute acceleration response spectra is edited in the paper. The Chinese version of this paper appeared in the Chinese edition ofActa Seismologica Sinica,14, 236–242, 1992.