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multibody system transfer matrix method:The past, the present, and the future

International Journal of Mechanical system Dynamics 2022年第1期2卷 3-26页

作者： Xiaoting Rui Jianshu Zhang Xun Wang Bao Rong Bin He Zhan Jin Institute of Launch Dynamics Nanjing University of Science and TechnologyNanjingChina

The multibody system transfer matrix method(MSTMM),a novel dynamics approach developed during the past three decades,has several advantages compared to conventional dynamics *** of these advantages include avoiding global dynamics equations with a system inertia matrix,utilizing low‐order matrices independent of system degree of freedom,high computational speed,and simplicity of computer *** has been widely used in computer modeling,simulations,and performance evaluation of approximately 150 different complex mechanical *** this paper,the following aspects regarding MSTMM are reviewed:basic theory,algorithms,simulation and design software,and *** research directions and generalization to more applications in various fields of science,technology,and engineering are discussed.

关键词： multibody system dynamics multibody system transfer matrix method transfer matrix transfer equation automatic assembly theorem reduced multibody system transfer matrix method theory software applications acoustic system electrical power system fluid system

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Eigenvalue analysis of planar linear multibody system under conservative force based on the transfer matrix method

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International Journal of Mechanical system Dynamics 2023年第1期3卷 12-24页

作者： Jinghong Wang Xiaoting Rui Xun Wang Jianshu Zhang Qinbo Zhou Junjie Gu Institute of Launch Dynamics Nanjing University of Science and TechnologyNanjingChina

The linear multibody system transfer matrix method(LMSTMM)provides a powerful tool for analyzing the vibration characteristics of a mechanical ***,the original LMSTMM cannot resolve the eigenvalues of the systems with ideal hinges(i.e.,revolute hinge,sliding hinge,spherical hinge,cylindrical hinge,etc.)or bodies under conservative forces due to the lack of the corresponding transfer *** paper enables the LMSTMM to solve the eigenvalues of the planar multibody systems with ideal hinges or rigid bodies under conservative *** a rigid body,the transfer matrix can now consider coupling terms between forces and kinematic state ***,conservative forces that contribute to the eigenvalues can be ***,ideal hinges are introduced to LMSTMM,which enables the treatment of eigenvalues of general multibody systems using ***,the comparative analysis with ADAMS software and analytical solutions verifies the effectiveness of the proposed approach in this paper.

关键词： conservative forces eigenvalue analysis ideal hinges modal transformation multibody system transfer matrix method state perturbation

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