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An Explicit-Implicit Mixed Staggered Asynchronous Step Integration Algorithm in Structural Dynamics

Zhiqiang Ma1,2, Lingshuang Kong1,2, Xianlong Jin1,2,*
1 State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, No. 800 Dongchuan Road, Shanghai, 200240, China.
2 School of Mechanical Engineering,Shanghai Jiao Tong University, No. 800 Dongchuan Road, Shanghai 200240, China.
* Corresponding Author: Xianlong Jin. Email: .

Computer Modeling in Engineering & Sciences 2018, 116(1), 51-67. https://doi.org/10.31614/cmes.2018.01739

Abstract

Many engineering applications need to analyse the system dynamics on the macro and micro level, which results in a larger computational effort. An explicit-implicit asynchronous step algorithm is introduced to solve the structural dynamics in multi-scale both the space domain and time domain. The discrete FEA model is partitioned into explicit and implicit parts using the nodal partition method. Multiple boundary node method is adopted to handle the interface coupled problem. In coupled region, the implicit Newmark coupled with an explicit predictor corrector Newmark whose predictive wave propagates into the implicit mesh. During the explicit subcycling process, the variables of boundary nodes are solved directly by dynamics equilibrium equation. The dissipation energy is dynamically determined in accordance with the energy balance checking. A cantilever beam and a building two numerical examples are proposed to verify that the method can greatly reduce the computing time while maintaining a high accuracy.

Keywords

Structural dynamics, node partition, Newmark method, explicit-implicit asynchronous integration, stability condition.

Cite This Article

Ma, Z., Kong, L., Jin, X. (2018). An Explicit-Implicit Mixed Staggered Asynchronous Step Integration Algorithm in Structural Dynamics. CMES-Computer Modeling in Engineering & Sciences, 116(1), 51–67.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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