Generalized Whittaker Equations and Field Method in Generalized Classical Mechanics

Mei Feng-xiang

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1990 > 11(6): 529-536

Mei Feng-xiang. Generalized Whittaker Equations and Field Method in Generalized Classical Mechanics[J]. Applied Mathematics and Mechanics, 1990, 11(6): 529-536.

Citation:

Mei Feng-xiang. Generalized Whittaker Equations and Field Method in Generalized Classical Mechanics[J]. Applied Mathematics and Mechanics, 1990, 11(6): 529-536.

Citation:

Mei Feng-xiang. Generalized Whittaker Equations and Field Method in Generalized Classical Mechanics[J]. Applied Mathematics and Mechanics, 1990, 11(6): 529-536.

PDF( 418 KB)

Generalized Whittaker Equations and Field Method in Generalized Classical Mechanics

Mei Feng-xiang

Beijing Institute of Technology, Beijing

Received Date: 1989-05-08
Publish Date: 1990-06-15

Abstract

Abstract

This paper presents the energy integral in generalized classical mechanics. The integral enables us to reduce a given canonical system with 2n order to another system with only (2n-2) order and to obtain generalized Whittaker equations. And then, this paper extends a field method integrating the equations of motion for classical mechanics to generalized dassical mechanics. Finally, this paper gives an example to illustrate the application of these equations and the field method.

FullText(HTML)

References(4)

References

[1]	Podolsky,B.,A generalized electrodynamics,Ⅰ.Nonquantum,Ⅱ.Quantum,Phys.Rev.,65(1942),228-235.
[2]	De Léon,M.and P.R.Rodriques,Generalized Classical Mechanics and Field Theory,North-Holland-Amsterdam(1985).
[3]	Whittaker,E.T.,A Treatise on Analytical Dynamics,Fourth edition,Cambridge(1952).
[4]	Vujanovié,B.,A field method and its application to the theory of vibrations,Int.J.Nonlinear Mechanics,19(1984),383-396.