关键词: 多体系统, 动力学, 量化状态系统, 数值积分, 仿真

Abstract: Aiming at the solving problem of multi-body systems dynamics stiff equations,based on Quantized State System (QSS),an explicit multi-point correction algorithm named Multi-point Correction QSS (MCQSS) was proposed.Two hysteretic quantization functions were used to discrete the state variables of the system,and the derivatives of the state variables were modified by multi-point correction to improve the dynamics solving accuracy and efficiency.The feasibility of the proposed algorithm was proved by the double pendulum system simulation.MCQSS algorithm was compared with traditional numerical integration methods,QSS and BQSS algorithms in terms of simulation accuracy and simulation efficiency.The results showed that MCQSS algorithm could effectively improve simulation accuracy while ensuring simulation efficiency,and the performance was better than other methods.

Key words: multi-body system, dynamics, quantized state system, numerical integration, simulation