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本文引用格式:丁光涛,陶松涛.分析力学研究应当重视物理意义的讨论[J].动力学与控制学报,2019,17(5):453~457;   Ding Guangtao,Tao Songtao.Attention should be paid to physical significance in study of analytical mechanics[J].Journal of Dynamics and Control,2019,17(5):453-457.
分析力学研究应当重视物理意义的讨论    点此下载全文
丁光涛  陶松涛
安徽师范大学 物理与电子信息学院, 芜湖 241003,安徽师范大学 物理与电子信息学院, 芜湖 241003
基金项目:国家自然科学基金资助项目(11472063)
DOI:10.6052/1672-6553-2019-058
摘要:
      分析力学研究主要包括两个方面:物理意义的探究和数学方法的应用,两者应当协调发展.以拉格朗日力学逆问题为例,以量纲分析为依据,指出分析力学研究应当重视物理意义的讨论:一是新的研究结果是否具有正确的物理意义;二是有些新的结果和方法是否与物理规律相矛盾.举例说明得到的结论.
关键词:分析力学,逆问题,等效的拉格朗日函数,物理意义,量纲
Attention should be paid to physical significance in study of analytical mechanics    Download Fulltext
Ding Guangtao  Tao Songtao
Fund Project:
Abstract:
      The study of analytical mechanics mainly includes two aspects: the exploration of physical significance and the application of mathematical methods, which should be developed in coordination. Based on dimensional analysis, the inverse problem of Lagrangian mechanics was taken as an example to reveal that the physical significance of the study on analytical mechanics should be emphasized. Specifically, two questions should be answered: (1) whether new results affect the original physical conclusion, and (2) whether new results and methods are inconsistent with the laws of physics. Two examples were given to support this point.
Keywords:analytical mechanics,inverse problem,equivalent Lagrangian,the physical significance,dimension
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