The Equations of Motion of a Mechanical System in Matrix Form

R. G. Moukharliamov; Liu Wei-jian

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R. G. Moukharliamov, Liu Wei-jian. The Equations of Motion of a Mechanical System in Matrix Form[J]. Applied Mathematics and Mechanics, 1989, 10(10): 901-908.

Citation:

R. G. Moukharliamov, Liu Wei-jian. The Equations of Motion of a Mechanical System in Matrix Form[J]. Applied Mathematics and Mechanics, 1989, 10(10): 901-908.

Citation:

R. G. Moukharliamov, Liu Wei-jian. The Equations of Motion of a Mechanical System in Matrix Form[J]. Applied Mathematics and Mechanics, 1989, 10(10): 901-908.

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The Equations of Motion of a Mechanical System in Matrix Form

R. G. Moukharliamov¹,
Liu Wei-jian²

1.
Patrice Lumumba University of Peoples' Friendship, Moscow;
2.
Shanghai University of Technology, Shanghai

Received Date: 1988-12-14
Publish Date: 1989-10-15

Abstract

Abstract

This work recommends methods of construction of equations of motion of mechanical systems in matrix form.The use of a matrix form allows one to write an equation of dynamics in compact form,convenient for the in vestigation of multidimensional mechanical systems with the help of computers.Use is made of different methods of constructing equations of motion,based on the basic laws of dynamics as well as on the principles of D'Alambert-Le range,Hamilton-Ostrogradski and Gauss.

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References(2)

References

[1]	Мухарлямов Р.Г.,Об уравниях движения механических систем,Дuфференццалъные Уравнця,19,12(1983),2048-2056.
[2]	Greenwood,Donald T.,Classical Dynamics,Prentiec Hall,Inc.,Englewood Cliffs,N.J.(1977),337.