Enhanced integral form of the Newmark time stepping scheme for pseudodynamic testing

Abstract

A novel integral form time‐integration algorithm for pseudodynamic testing is proposed, based on the Newmark implicit algorithm. The scheme builds on the recently proposed integral form of the Newmark explicit algorithm which exhibits improved abilities to handle rapidly varying loads and stiffness properties during pseudodynamic testing, but displays some numerical damping and conditional stability. The enhancement is based on the inclusion of an additional term in the displacement predictor, which not only renders the algorithm more consistent, but it eliminates numerical damping and makes the algorithm unconditionally stable.

Citation

Algaard, W., Agar, A. and Bicanic, N. (2001), "Enhanced integral form of the Newmark time stepping scheme for pseudodynamic testing", Engineering Computations, Vol. 18 No. 3/4, pp. 676-689. https://doi.org/10.1108/02644400110387262