共 73 条
Analytical mechanics methods in finite element analysis of multibody elastic system
被引:2
作者:
Scutaru, Maria Luminita
[1
]
Vlase, Sorin
[1
,2
]
Marin, Marin
[3
,4
]
机构:
[1] Transilvania Univ Brasov, Dept Mech Engn, Brasov 500036, Romania
[2] Tech Sci Acad Romania, B dul Dacia 26, Bucharest 030167, Romania
[3] Transilvania Univ Brasov, Dept Math & Informat, Brasov 500036, Romania
[4] Acad Romanian Scientists, Ilfov St 3, Bucharest 050045, Romania
关键词:
MBS;
FEM;
Maggi's formalism;
Lagrange's equations;
Energy of acceleration;
Hamilton's equations;
Kane's equations;
Gibbs-Appel method;
Analytical methods;
FLEXIBLE LINKAGE MECHANISMS;
HAMILTON-JACOBI EQUATIONS;
HIGH-SPEED;
DYNAMIC-RESPONSES;
MANIPULATOR;
INTEGRATION;
DEFINITION;
BODIES;
D O I:
10.1186/s13661-023-01784-5
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
The study of multibody systems with elastic elements involves at the moment the reevaluation of the classical methods of analysis offered by analytical mechanics. Modeling this system with the finite element method requires obtaining the motion equation for an element in the circumstances imposed by a multibody system. The paper aims to present the main analysis methods used by researchers, to make a comparative analysis, and to show the advantages or disadvantages offered by different methods. For the presentation of the main methods (namely Lagrange's equations, Gibbs-Appell's equations, Maggi's formalism, Kane's equations, and Hamilton's equations) a unified notation is used. The paper provides a critical evaluation of the studied applications that involved some of these methods, highlighting the reason why it was decided to use them. Also, the paper identifies potential research areas to explore.
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页数:19
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