A Taylor Series Integration Method with Coupling in Structural Dynamics

Abstract:

Based on the coupled precise time integration method and basic assumptions of constant average acceleration method in Newmark family, implicit series solution of structural dynamic equation is put forward by introducing the Taylor series expansion. Relevant time step integration formulas were designed. Stability and accuracy of the method were analyzed. Stability analyses show that the coupling implicit method is stable when damping ratio is equal to 0, and is conditionally stable when damping ratio are other values. The results show that the accuracy of the algorithm can be controlled by choosing the number of truncation order of Taylor series expansion and is better than that of traditional scheme with the increase of time step. Number examples are given to demonstrate the validity of the proposed method.

• Periodical: Applied Mechanics and Materials (Volumes 166-169)
• Pages: 9-13
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.166-169.9
• Online since: May 2012
• Authors: Ze Ying Guo
• Keywords: Accuracy, Coupling, Implicit Method, Stability, Structural Dynamics, Taylor Series

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