NIELSEN'S AND EULER'S OPERATORS OF HIGHER ORDER IN ANALYTICAL MECHANICS

Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (1): 53-63.

NIELSEN'S AND EULER'S OPERATORS OF HIGHER ORDER IN ANALYTICAL MECHANICS

刘正福¹, 金伏生², 梅凤翔³

1. East-China Engineering Institute, Nanjing;
2. Chang Jiang River Shipping Science Research Institute, Wuhan;
3. Beijing Institute of Technology, Beijing

收稿日期:1984-07-31 出版日期:1986-01-18 发布日期:1986-01-18

NIELSEN'S AND EULER'S OPERATORS OF HIGHER ORDER IN ANALYTICAL MECHANICS

Liu Zheng-fu¹, Jin Fu-sheng², Mei Feng-xiang³

1. East-China Engineering Institute, Nanjing;
2. Chang Jiang River Shipping Science Research Institute, Wuhan;
3. Beijing Institute of Technology, Beijing

Received:1984-07-31 Online:1986-01-18 Published:1986-01-18

摘要/Abstract

摘要： In this paper, the definitions of Nielsen’s and Euler’s operators of higher order are presented. These operators are concerned in analysis for systems with holonomic constraints and non-holonomic constraints of higher order. Some theorems that indicating relation between the two operators are established. Moreover, using the theorems, the new equations of mechanical systems with constraints of higher order are derived. Finally, an example is given.

关键词: theory of elasticity, variational principle, equation of virtual work

Abstract: In this paper, the definitions of Nielsen’s and Euler’s operators of higher order are presented. These operators are concerned in analysis for systems with holonomic constraints and non-holonomic constraints of higher order. Some theorems that indicating relation between the two operators are established. Moreover, using the theorems, the new equations of mechanical systems with constraints of higher order are derived. Finally, an example is given.

Key words: theory of elasticity, variational principle, equation of virtual work

刘正福;金伏生;梅凤翔. NIELSEN'S AND EULER'S OPERATORS OF HIGHER ORDER IN ANALYTICAL MECHANICS[J]. Applied Mathematics and Mechanics (English Edition), 1986, 7(1): 53-63.

Liu Zheng-fu;Jin Fu-sheng;Mei Feng-xiang. NIELSEN'S AND EULER'S OPERATORS OF HIGHER ORDER IN ANALYTICAL MECHANICS[J]. Applied Mathematics and Mechanics (English Edition), 1986, 7(1): 53-63.

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