Extension of A Composite Time Integration Scheme for Dynamic Problems

This paper proposes a simple extension to a collocation based composite time integration proposed by Silva and Bezerra. In this scheme, each time step is divided further into two substeps which may not be necessarily equal. In the first substep, the Newmark scheme is employed an d the three point backward Euler scheme is used in the second substep. The proposed scheme is applied to non-linear problems to study the transient response solution under large deformations and long time durations. The influence of Newmark parameters and substep sizes on conservation of energy and momentum is studied through a numerical example. It is found that the numerical dissipation increases as the Newmark parameters are changed. Also, as the substep size corresponding to Newmark scheme increases the numerical dissipation increases. The proposed scheme can be used to study of nonlinear transient response of structures with required dissipation. (INCAM 2015 paper attached)