An improved sub-step time-marching procedure for linear and nonlinear dynamics with high-order accuracy and high-efficient energy conservation

In this paper, an improved sub-step time-marching procedure is proposed for structural dynamics. The proposed procedure has two free parameters which can be adopted to control basic algorithmic properties including computation accuracy, algorithmic damping, period elongation, and overshooting behavior. The influences of the algorithmic parameters on these basic properties of the method are studied, and the optimal parameter value is thus obtained. Theoretical analysis and numerical simulations demonstrate that new procedure is desirable for linear and nonlinear dynamics due to its higher-order accuracy, desirable numerical dissipation, and high-efficient energy conservation.