|
|
Пишет Journal de Chaource (![[info]](http://lj.rossia.org/img/syndicated.gif){kind=small} lj_chaource)@ 2018-11-17 06:31:00 |
 |
|
 |
|
|
|
|
|
|
 |
|
 |
Hayka yMeeT O4EH♭ MHoΓo ΓuTuK
Hayka yMeem O4EH♭ MHoΓo ΓumuK
https://link.springer.com/chapter/10.100
International Conference on Information Computing and Applications
ICICA 2011: Information Computing and Applications pp 23-29
Hamilton Non-holonomic Momentum Equation of the System and Conclusions
by Hongfang Liu, Ruijuan Li, Nana Li
Abstract.
Mechanical system nonholonomic constraint by more and more international wide attention and sparked the modern technology china-africa complete constraint technology is widely used. The article take poisson opinions on nonholonomic constraint mechanics poisson theory to study, with the conservation of momentum equations are given nonholonomic constraint Hamilton mechanical system equation, gets some conclusion.
1.
Non-holonomic system originated in the Lagrange-d'Alembert principles. Ferrers by adding constraints in the form of Euler-Lagrange equations derived non-holonomic system of equations of motion. In recent years, with the theoretical development of the perfect, modern mathematics, engineering and other specialized, non-holonomic system, more and more widespread international concern and led to modern technology, technology is widely applied nonholonomic constraints .
Lagrange mechanics according to some basic principles, we now consider the non- holonomic system of Hamilton. This requires the use of law of conservation of momentum equation, the value of the momentum is changing, it is natural to take the Poisson point of view is reasonable [1], on this basis, the following non-holonomic theory of Poisson [2].
First, the symmetry does not necessarily lead to conservation laws, it is a momentum equation. Secondly, the usual Poisson operator does not meet the Jacobi identity. In fact, the so-called Jacobian (when to meet the Jacobi equation, the cycle sum to zero) or the equivalent of saying, Schouten said nonholonomic constraints computing the curvature of the distribution function. Therefore, in the non-holonomic system, there is always recent Poisson structure.
2.
...
In the Lagrange system with different Lagrange multipliers do not describe the Hamilton equation, But with T∗Q vector field Submanifolds said.
Hayka yMeem O4EH♭ MHoΓo ΓumuK
https://link.springer.com/chapter/10.100
International Conference on Information Computing and Applications
ICICA 2011: Information Computing and Applications pp 23-29
Hamilton Non-holonomic Momentum Equation of the System and Conclusions
by Hongfang Liu, Ruijuan Li, Nana Li
Abstract.
Mechanical system nonholonomic constraint by more and more international wide attention and sparked the modern technology china-africa complete constraint technology is widely used. The article take poisson opinions on nonholonomic constraint mechanics poisson theory to study, with the conservation of momentum equations are given nonholonomic constraint Hamilton mechanical system equation, gets some conclusion.
1.
Non-holonomic system originated in the Lagrange-d'Alembert principles. Ferrers by adding constraints in the form of Euler-Lagrange equations derived non-holonomic system of equations of motion. In recent years, with the theoretical development of the perfect, modern mathematics, engineering and other specialized, non-holonomic system, more and more widespread international concern and led to modern technology, technology is widely applied nonholonomic constraints .
Lagrange mechanics according to some basic principles, we now consider the non- holonomic system of Hamilton. This requires the use of law of conservation of momentum equation, the value of the momentum is changing, it is natural to take the Poisson point of view is reasonable [1], on this basis, the following non-holonomic theory of Poisson [2].
First, the symmetry does not necessarily lead to conservation laws, it is a momentum equation. Secondly, the usual Poisson operator does not meet the Jacobi identity. In fact, the so-called Jacobian (when to meet the Jacobi equation, the cycle sum to zero) or the equivalent of saying, Schouten said nonholonomic constraints computing the curvature of the distribution function. Therefore, in the non-holonomic system, there is always recent Poisson structure.
2.
...
In the Lagrange system with different Lagrange multipliers do not describe the Hamilton equation, But with T∗Q vector field Submanifolds said.
