Abstract
A new unconditionally stable explicit time-integration method is proposed herein, which can inherit the numerical characteristics of any existing implicit Runge-Kutta algorithms. Thus, the proposed method not only holds computational efficiency buut also possesses good numerical characteristics. Moreover, the paper presents an exact derivation of the increment of mechanical energy of an undamped system to investigate the stability condition and algorithmic damping of the proposed algorithm for linear problems, which is different from the analysis of spectral radii of integration algorithms in previous studies. The numerical characteristics of the proposed method are computationally examined from the viewpoints of energy conservation of conservative systems.
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