A time-marching procedure based on a sub-step explicit time integration scheme for non-viscous damping systems

An improved time-marching procedure based on a composite explicit method is proposed for non-viscous damping systems. In this method, an improved integral approximation scheme is developed to improve the convolution solution accuracy and is applicable to any causal kernel function. The mathematical derivation and calculation procedure based on the composite explicit method are formulated for non-viscous damping systems. The adopted composite explicit method shows more desirable stability and accuracy properties than other competitive explicit methods. Numerical simulations of some representative examples demonstrate the proposed time-marching procedure is efficient for the dynamic analysis of non-viscous damping systems.

Automated summary

This study proposes an improved time-marching procedure based on a composite explicit method for non-viscous damping systems. The method introduces an improved integral approximation scheme to enhance the convolution solution accuracy, which is applicable to any causal kernel function. The mathematical derivation and calculation procedure based on the composite explicit method are formulated for non-viscous damping systems. Numerical simulations of representative examples demonstrate that the adopted composite explicit method exhibits better stability and accuracy properties compared to other explicit methods.