A Newmark space-time formulation in structural dynamics

Abstract In this contribution, we present a space-time formulation of the Newmark integration scheme for linear damped structures under both harmonic and transient excitations. The incremental set equations motion approximations are transformed into their corresponding equivalents. dynamic system is then represented by one algebraic equation only. This projected coupled pair equations, which solved via fixed point algorithm. solution iteratively assembled enrichments, each decomposed dyadic product spatial temporal enrichment vectors. evolution vectors investigated during convergence interpreted comparing them to modes vibration. new method demonstrated means four numerical examples, presenting not only excellent behavior efficiency but also limits proposed approach.