THE PRINCIPLES OF LEAST ACTION OF VARIABLE MASS NONHOLONOMIC NONCONSERVATIVE SYSTEM IN NONINERTIAL REFERENCE FRAMES

Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (9): 851-859.

THE PRINCIPLES OF LEAST ACTION OF VARIABLE MASS NONHOLONOMIC NONCONSERVATIVE SYSTEM IN NONINERTIAL REFERENCE FRAMES

罗绍凯¹, 梅凤翔²

1. Shangqiu Teachers College, Henan;
2. Peking Institute of Technology, Beijing

收稿日期:1991-11-09 出版日期:1992-09-18 发布日期:1992-09-18
基金资助:
This was supported by the National Natural Science Foundation of China

THE PRINCIPLES OF LEAST ACTION OF VARIABLE MASS NONHOLONOMIC NONCONSERVATIVE SYSTEM IN NONINERTIAL REFERENCE FRAMES

Luo Shao-kai¹, Mei Feng-xiang²

1. Shangqiu Teachers College, Henan;
2. Peking Institute of Technology, Beijing

Received:1991-11-09 Online:1992-09-18 Published:1992-09-18
Supported by:
This was supported by the National Natural Science Foundation of China

摘要/Abstract

摘要： This paper presents the generalized principles of least action of variable mass nonholonomic nonconservative system in noninertial reference frame, proves the equivalence between Holder form and Suslov form, and then obtains differential equations of motion of variable mass nonholonomic nonconservative system in noninertial reference frame.

关键词: analytical mechanics, variable mass system, nonholonomic constraints, noninertial reference frame, variational method, principle of least action

Abstract: This paper presents the generalized principles of least action of variable mass nonholonomic nonconservative system in noninertial reference frame, proves the equivalence between Holder form and Suslov form, and then obtains differential equations of motion of variable mass nonholonomic nonconservative system in noninertial reference frame.

Key words: analytical mechanics, variable mass system, nonholonomic constraints, noninertial reference frame, variational method, principle of least action

罗绍凯;梅凤翔. THE PRINCIPLES OF LEAST ACTION OF VARIABLE MASS NONHOLONOMIC NONCONSERVATIVE SYSTEM IN NONINERTIAL REFERENCE FRAMES[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(9): 851-859.

Luo Shao-kai;Mei Feng-xiang. THE PRINCIPLES OF LEAST ACTION OF VARIABLE MASS NONHOLONOMIC NONCONSERVATIVE SYSTEM IN NONINERTIAL REFERENCE FRAMES[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(9): 851-859.

[1]	陈波李孝伟刘高联. Minimax principle on energy dissipation of incompressible shear flow[J]. Applied Mathematics and Mechanics (English Edition), 2010, 31(7): 805-814.
[2]	陈波李孝伟刘高联. Constraint-induced restriction and extension operators with applications[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(11): 1345-1352.
[3]	陈宜周. STRESS ANALYSIS FOR AN INFINITE STRIP WEAKNED BY PERIODIC CRACKS[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(11): 1298-1303.
[4]	云天铨. BASIC EQUATIONS, THEORY AND PRINCIPLE OF COMPUTATIONAL STOCK MARKET (Ⅲ)-BASIC THEORIES[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(8): 861-868.
[5]	李元成;张毅;梁景辉. NOETHER'S THEOREM FOR NONHOLONOMIC SYSTEMS OF NON-CHETAEV'S TYPE WITH UNILATERAL CONSTRAINTS IN EVENT SPACE[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(5): 543-548.
[6]	张毅;梅凤翔. NOETHER’S THEORY OF MECHANICAL SYSTEMS WITH UNILATERAL CONSTRAINTS[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(1): 59-66.
[7]	梅凤翔. LIE SYMMETRIES AND CONSERVED QUANTITIES OF HOLONOMIC VARIABLE MASS SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(6): 629-634.
[8]	张毅;梅凤翔. EQUATIONS OF MOTION FOR NONHOLONOMIC MECHANICAL SYSTEMS WITH UNILATERAL CONSTRAINTS[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(1): 59-67.
[9]	朱海平. SZEBEHELY'S PROBLEM FOR NONHOLONOMIC SYSTEMS WITH A GIVEN FIRST INTEGRAL[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(9): 843-849.
[10]	陈向炜;罗绍凯. INTEGRATION METHOD FOR THE DYNAMICS EQUATION OF RELATIVE MOTION OF VARIABLE MASS NONLINEAR NONHOLONOMIC SYSTEM[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(5): 479-488.
[11]	罗绍凯. FIRST INTEGRALS AND INTEGRAL INVARIANTS FOR VARIABLE MASS NONHOLONOMIC SYSTEM IN NONINERTIAL REFERENCE FRAMES[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(2): 147-154.
[12]	史荣昌;梅凤翔. ON A GENERALIZATION OF BERTRAND’S THEOREM[J]. Applied Mathematics and Mechanics (English Edition), 1993, 14(6): 537-544.
[13]	刘凤丽;梅凤翔. FORMULATION AND SOLUTION FOR INVERSE PROBLEM OF NONHOLONOMIC DYNAMICS[J]. Applied Mathematics and Mechanics (English Edition), 1993, 14(4): 327-332.
[14]	罗耀煌;赵永达. ROUTH'S EQUATIONS FOR GENERAL NONHOLONOMIC MECHANICAL SYSTEMS OF VARIABLE MASS[J]. Applied Mathematics and Mechanics (English Edition), 1993, 14(3): 285-298.
[15]	罗绍凯. INTEGRAL THEORY FOR THE DYNAMICS OF NONLINEAR NONHOLONOMIC SYSTEM IN NONINERTIAL REFERENCE FRAMES[J]. Applied Mathematics and Mechanics (English Edition), 1993, 14(10): 907-918.

THE PRINCIPLES OF LEAST ACTION OF VARIABLE MASS NONHOLONOMIC NONCONSERVATIVE SYSTEM IN NONINERTIAL REFERENCE FRAMES

THE PRINCIPLES OF LEAST ACTION OF VARIABLE MASS NONHOLONOMIC NONCONSERVATIVE SYSTEM IN NONINERTIAL REFERENCE FRAMES

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价