An alpha modification of Newmark's method

Abstract

Abstract This paper discusses the Bossak–Newmark algorithm, which is an extension of the well‐known Newmark algorithm 1 for the numerical integration of the equations of discretized structural dynamics problems. The extra parameter introduced here enables the method (when used on the test equation ẍ = −ω 2 x ) to be simultaneously second order, unconditionally stable and with positive artificial damping. Comparisons are made with another modification of Newmark introduced by Hilber, Hughes and Taylor 2 .