多体系统动力学时程积分算法研究进展

Progress in Time-integration Algorithms for Multi-body System Dynamics

发展精确且稳定的多体系统动力学计算方法一直是研究者们努力的方向。时程积分法已经有数十年的发展历程,这种算法的核心思想是将结构模型的运动过程在时间域上离散,在每个时间步内进行积分,逐步计算出结构的完整运动轨迹。其中,能量守恒时程积分法有精度高,稳定性好等优点,具有较大的应用潜力。通过对时程积分法相关文献的分析与总结,介绍了该算法的基本原理和发展现状。最后对该算法的后续研究提出展望。

The development of accurate and stable multi-body system dynamics calculation methods has been the direction of researchers'efforts.The time integration method has been developed for decades.The core idea of this algorithm is to discretize the motion process of the structural model in the time domain,integrate in each time step,and gradually calculate the complete motion trajectory of the structure.Among them,the energy conservation time integration method has the advantages of high accuracy and good stability,and has great application potential.Based on the analysis and summary of the relevant literature on time integration method,the basic principle and development status of the algorithm are introduced.Finally,the future research of the algorithm is prospected.