An alternative single‐step algorithm for dynamic problems

Abstract

Abstract In this paper we consider a one‐step form of the weighted residual method for solving equations of motion for discrete structural problems. The resulting time integration algorithm is equivalent to the Newmark method for a restricted but important range of the parameters. The weighted residual treatment of the forcing function permits use of time increments based solely on the expected periods of the structural response, instead of the usual additional restrictions based on the periods of the forcing function. A numerical example is included to illustrate the behaviour of the algorithm for a forced ground motion with both low‐ and high‐frequency components.