Assessment and improvement of precise time step integration method

Authors:
Mengfu Wang;F. T. K. Au
Affiliations:
Department of Civil Engineering, Hunan University, Yuelushan, Changsha, Hunan 410082, People's Republic of China;Department of Civil Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong, People's Republic of China
Venue:
Computers and Structures
Year:
2006

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Abstract

In this paper, the numerical stability and accuracy of Precise Time Step Integration Method are discussed in detail. It is shown that the method is conditionally stable and it has inherent algorithmic damping, algorithmic period error and algorithmic amplitude decay. However for discretized structural models, it is relatively easy for this time integration scheme to satisfy the stability conditions and required accuracy. Based on the above results, the optimum values of the truncation order L and bisection order N are presented. The Gauss quadrature method is used to improve the accuracy of the Precise Time Step Integration Method. Finally, two numerical examples are presented to show the feasibility of this improvement method.