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The equation of motion for the system of the variable mass in the non-linear non-holonomic space

โœ Scribed by Qiu Rong

Publisher
Springer
Year
1996
Tongue
English
Weight
298 KB
Volume
17
Category
Article
ISSN
0253-4827

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โœฆ Synopsis

The dot product of bases vectors on the super-surface of constraints of the nonlinear non-holonomic space and Mesherskii equations may act as the equations of fundamental dynamics ef mechanical system for the variable mass. These are very simple aild convenient for computation. From these known equations, the equations of Chaplygin, Nielson, Appell, Ma>-Millan et al., are derived; it is ui?necessarF IO introduce the definition qf Appell-Cheraev or Niu Qinping for the virtual displacemhnt.

These are compatible M'ith the D'Alembert-Lagrange's principle.

Key words the non-linear non-holonomic constraints, the system of the variable mass, dot product, bases vectors on supersurface of constraints, Misherskii equation

๐Ÿ“œ SIMILAR VOLUMES

The method of derivation of Mac-Millan's
The method of derivation of Mac-Millan's equation for the non-linear non-holonomic system
โœ Qiu Rong ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Springer ๐ŸŒ English โš– 157 KB

The Mac-Milhm's equation.lot tile non-linear non-holonomic .U'stem in one order is derived h.l' ush~g only principle oi" d(ff~'rential rarhtlion r!/ dour&t#l. Therefore the de/'inithm o[" Niu Qinping for the virtual disl~la~;emetll is unnecessary. This is the nattn'al deduction (?/" the method in th