Reduced transfer matrix method for linear tree multibody systems

被引：1
|
作者：
Liu, Zhengquan [1 ,2 ]
Wang, Guoping [1 ,2 ]
Zhang, Jianshu [1 ,2 ]
Rui, Xiaoting [1 ,2 ]
Zhang, Xizhe [1 ,2 ]
机构：
[1] Nanjing Univ Sci & technol, Inst Launch Dynam, Nanjing 210094, Peoples R China
[2] Natl Key Lab Complex Multibody Syst Dynam, Nanjing 210094, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2024年 / 133卷
基金：
中国国家自然科学基金;
关键词：
Multibody system transfer matrix method; Vibration analysis; Finite element method; Multibody systems;
D O I：
10.1016/j.apm.2024.05.023
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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.
引用
收藏
页码：195 / 210
页数：16
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