ON A GENERALIZATION OF BERTRAND’S THEOREM

Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (6): 537-544.

ON A GENERALIZATION OF BERTRAND’S THEOREM

史荣昌, 梅凤翔

Peking Institute of Technology, Beijing

收稿日期:1992-05-20 出版日期:1993-06-18 发布日期:1993-06-18
通讯作者: Fan Da-jun
基金资助:
National Natural Science Foundation of China

ON A GENERALIZATION OF BERTRAND’S THEOREM

Shi Rong-chang, Mei Feng-xiang

Peking Institute of Technology, Beijing

Received:1992-05-20 Online:1993-06-18 Published:1993-06-18
Supported by:
National Natural Science Foundation of China

摘要/Abstract

摘要： Bertrand’s theorem for the determination of the applied forces to a holonomic system from one of its first integrals, is extended to nonholonomic systems. Some interesting applications of this new result are also given.

关键词: analytical mechanics, nonholonomic system, first integral, inverse problem of dynamics

Abstract: Bertrand’s theorem for the determination of the applied forces to a holonomic system from one of its first integrals, is extended to nonholonomic systems. Some interesting applications of this new result are also given.

Key words: analytical mechanics, nonholonomic system, first integral, inverse problem of dynamics

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.

Shi Rong-chang;Mei Feng-xiang. ON A GENERALIZATION OF BERTRAND’S THEOREM[J]. Applied Mathematics and Mechanics (English Edition), 1993, 14(6): 537-544.

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ON A GENERALIZATION OF BERTRAND’S THEOREM

ON A GENERALIZATION OF BERTRAND’S THEOREM

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