Damping Perturbation Based Time Integration Asymptotic Method for Structural Dynamics

Abstract

In this paper a novel time integration numerical method based on artificial perturbation of damping is proposed. Viscous dissipative terms in the structural dynamics equations of motion are perturbed by an artificial parameter. The subsequent asymptotic expansion of the transient response results in an infinite series which can be summed, leading to a well-defined new step-by-step explicit iterative scheme. Precise integration algorithms are designed for the construction of the main matrices. Conditions for convergence and numerical properties, i.e., stability and accuracy are also studied in detail. The proposed approach is validated with a numerical example, showing high accuracy with respect to other existing methods in literature.