2014
DOI: 10.1155/2014/378047
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Automatic Deduction Theorem of Overall Transfer Equation of Multibody System

Abstract: Transfer matrix method for multibody System (MSTMM) is a new multibody dynamics method developed in recent 20 years. It has been widely used in both science research and engineering for its special features as follows: without global dynamics equations of the system, high programming, low order of system matrix, and high computational speed. Based on MSTMM and its above features, a theorem to deduce automatically the overall transfer equations of multibody systems by handwriting or by computer is proposed in t… Show more

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Cited by 67 publications
(71 citation statements)
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“…According to the MSTMM [19], "bodies" are the units of motion, including rigid body and flexible body, "joints" are the links between bodies, including elastic joints, smooth joints, column joints, prismatic joints, fixed joints and so on. The masses of joints are considered in the contiguous bodies, so the joints are mass less, while the "bodies" and the "joints" are numbered uniformly.…”
Section: The Launch Dynamics Model Of Self -Propelled Artillery Systemmentioning
confidence: 99%
“…According to the MSTMM [19], "bodies" are the units of motion, including rigid body and flexible body, "joints" are the links between bodies, including elastic joints, smooth joints, column joints, prismatic joints, fixed joints and so on. The masses of joints are considered in the contiguous bodies, so the joints are mass less, while the "bodies" and the "joints" are numbered uniformly.…”
Section: The Launch Dynamics Model Of Self -Propelled Artillery Systemmentioning
confidence: 99%
“…According to automatic deduction theorem of overall transfer equation of multibody system [10], the overall transfer matrix of the MLRS can be deduced automatically as 5 27 23 5 27 5 26 5 27 16 5 27 13 5 27 10 5 27 7 5 27 4 5 27 1 23 23 23 16 23 13 23 10 23 7 23 4 23 1 19 16 19 1 19 13 19 1 19 10 19 1 19 7 19 1 19 4 19 1 5 28 5 25 5 28 23 5 28 5 26 5 28 16 5 28 13 5 28 10 5 28 7 5 28 4 5 28 1 12 all T C T T T T T T T T …”
Section: Dynamics Model Of the Mlrsmentioning
confidence: 99%
“…As a brand new method for MSD gradually developed in recent 20 years, transfer matrix method for multibody system (MSTMM) [7][8][9][10] has greatly simplified the solving process of complex MSD, highly improved the computational efficiency, and provided a powerful tool for MSD study for its features as follows: without global dynamics equations of the system, high programming, low order of system matrix and high computational speed. MSTMM avoids computational ill-condition of eigenvalue problem of complex linear multiple system for its low order of system matrix.…”
Section: Introductionmentioning
confidence: 99%
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“…The present multibody system dynamics methods mainly include Newton-Euler vector mechanical method, Jourdam principle, Lagrange method, Gauss principle, Transfer matrix method of multibody system, and so on [15][16][17][18][19] . Taking a self-propelled artillery and tank as examples, applying the transfer matrix method for multibody system (MSTMM) and the automatic deduction theorem of overall transfer equation 20,21 , the system dynamics equations of the self-propelled artillery and tank were derived in ref. [22,23].…”
Section: The System Dynamics Equations Of Weaponsmentioning
confidence: 99%