›› 2014, Vol. 46 ›› Issue (3): 436-446.DOI: 10.6052/0459-1879-13-260

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AN ARBITRARILY MIXED EXPLICIT-IMPLICIT ASYNCHRONOUS INTEGRATION ALGORITHM BASED ON UNIFORM DISCRETIZATION FORMAT

Zhang Weiwei1,2, Jin Xianlong1,2   

  1. 1. School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;
    2. State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, China
  • Received:2013-08-07 Revised:2013-12-11 Online:2014-05-23 Published:2013-12-12
  • Supported by:
    The project was supported by the National High Technology Research and Development Program of China (2012AA01AA307) and the National Natural Science Foundation of China (11072150,61073088).

Abstract: Dynamical finite element method requires solving system information at each time step, and the computational effort is much larger than solving the static ones. Thus, to improve computational efficiency and save computational effort is one the of the main research content in dynamics. The present paper introduces an arbitrarily mixed explicit-implicit asynchronous integration algorithm based on uniform Newmark discretization format, for the efficiently solving of the large and complex dynamic systems. The overall dynamical system can be partitioned into different parts according to the physical and mechanical properties, as well as the requirements of solution accuracy, and the system equation can be solved in multi-scale both at the space domain and time domain. According to the inherent message passing mechanisms of the explicit and implicit algorithm, a variable boundary treatment method was adopted to avoid the accumulation of errors at the asynchronous boundary. The simulation time steps were dynamically determined and corrected according to the energy balance checking, which can effectively prevent the emergence and development of the instability. Numerical example shows that the proposed algorithm can greatly reduce the consumption of computing resources while maintaining high accuracy, thus it has a high practical value.

Key words: structural dynamics|Newmark discretization|explicit algorithm|implicit algorithm|arbitrarily mixed|asynchronous integration|stability

CLC Number: