Practical performance of the [formula omitted] and comparison with other dissipative algorithms in structural dynamics

Abstract

A single-step time marching scheme, the θ 1- method , is presented. The method leads to an unconditionally stable implicit algorithm with controllable numerical dissipation. A comparison with other known dissipative algorithms is made. The accuracy, the spectral properties, and the overshooting behaviour are investigated. Numerical results for linear single and multidegree of freedom systems are presented. Among the class of unconditionally stable implicit algorithms with numerical dissipation the θ 1- method shows some advantages over other known methods, especially in accuracy and overshooting behaviour. The computational effort for nonlinear problems is comparable to Newmark's trapezoidal rule.