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Non-Noether Conserved Quantity of No

時間:2023-04-29 14:13:26 數(shù)理化學(xué)論文 我要投稿

Non-Noether Conserved Quantity of Nonholonomic System Having Variable Mass and Unilateral Constraints

Using the Lie Symmetry under infinitesimal transformations in which the time is not variable, the nonNoether conserved quantity of nonholonomic system having variable mass and unilateral constraints is studied. The differential equations of motion of the system are given. The determining equations of Lie symmetrical transformations of the system under infinitesimal transformations are constructed. The Hojman's conservation theorem of the system is established. Finally, we give an example to illustrate the application of the result.

作 者: Qiao Yong-Fen LI Ren-Jie MA Yong-sheng   作者單位: Qiao Yong-Fen(Department of Mechanical Engineering and Automation, Zhejiang Institute of Science and Technology, Hangzhou 310027,China;Physics Teaching Division, Laiyang Agricultural College, Laiyang 265204, China;Engineering College, Northeast Agricultural University,)

LI Ren-Jie(Physics Teaching Division, Laiyang Agricultural College, Laiyang 265204, China)

MA Yong-sheng(Engineering College, Northeast Agricultural University, Harbin 150030, China) 

刊 名: 理論物理通訊(英文版)  ISTIC SCI 英文刊名: COMMUNICATIONS IN THEORETICAL PHYSICS  年,卷(期): 2004 42(12)  分類號:   關(guān)鍵詞: variable mass   unilateral constraint   nonholonomic system   non-Noether conserved quantity   determining equation  

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