An M(M-1K)m proportional damping in explicit integration of dynamic structural systems

Algorithmic aspects of energy dissipation mechanisms of dynamic structural systems in conjunction with central di erence time integration method are investigated and damping proportional to M(M−1K)m (where K is the sti ness matrix, M is the mass matrix and m is a damping parameter) is proposed. Detailed algorithms for M(M−1K)m proportional damping for the central di erence time integration method are presented together with stability criteria and numerical test problems