This paper introduces a linear version of the reduced multibody system transfer matrix method for studying the eigenvalue problems and steady-state responses of tree multibody systems. The core idea is to recursively transfer mechanical information between elements, utilizing a directed rooted tree to depict the system topology. Reduced transfer equations are provided for both spatial rigid and flexible bodies. For flexible bodies, the derivation is based on the dynamical equations from the finite element method and component mode synthesis. The effectiveness and numerical stability of this method is validated through three numerical examples.

中文翻译：

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线性树多体系统的简化传递矩阵法


本文介绍了简化多体系统传递矩阵方法的线性版本，用于研究树多体系统的特征值问题和稳态响应。核心思想是在元素之间递归地传输机械信息，利用有向根树来描述系统拓扑。为空间刚性体和柔性体提供了简化的传递方程。对于柔性体，推导基于有限元方法和部件模式综合的动力学方程。通过三个数值算例验证了该方法的有效性和数值稳定性。