Computational speed and stability are two important aspects in the dynamics analysis of large-scale complex multibody systems. In order to improve both in the context of the multibody system transfer matrix method, a new version of the Riccati transfer matrix method is presented. Based on the new version of the general transfer matrix method for multibody system simulation, recursive formulae are developed which not only retain all advantages of the transfer matrix method, but also reduce the truncation error. As a result, the computational speed, accuracy and efficiency are improved. Numerical computation results obtained by the proposed method and an ordinary multibody system formulation show good agreement. The successful computation for a spatial branch system with more than 100000 degrees of freedom validates that the proposed method is also working for huge systems.

中文翻译：

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Riccati传递矩阵方法的新版本，适用于由链和分支体组成的多体系统

计算速度和稳定性是大型复杂多体系统动力学分析的两个重要方面。为了在多体系统传递矩阵方法的背景下同时改进两者，提出了一种新版本的Riccati传递矩阵方法。在用于多体系统仿真的通用传递矩阵方法的新版本的基础上，开发了递归公式，该公式不仅保留了传递矩阵方法的所有优点，而且还减少了截断误差。结果，提高了计算速度，准确性和效率。通过所提出的方法和普通的多体系统公式获得的数值计算结果显示出良好的一致性。