| 拉格朗日力学逆问题和量纲分析 |
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| 引用本文： | 丁光涛.拉格朗日力学逆问题和量纲分析[J].安徽师范大学学报(自然科学版),2018,41(1):1-4. |
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| 作者姓名： | 丁光涛 |
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| 作者单位： | 安徽师范大学 物理与电子信息学院,安徽 芜湖 24100 |
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| 摘 要： | 本文指出在拉格朗日力学逆问题研究中存在的重视数学方法而忽视物理意义的倾向。具体讨论谐振子和线性阻尼振子,以说明一些逆问题的解与物理规律不协调,例如与量纲理论相矛盾。指出变分法逆问题和拉格朗日力学逆问题是有区别的。
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| 关 键 词： | 拉格朗日力学 逆问题 量纲 谐振子 线性阻尼振子 |
The Inverse Problem of Lagrangian Mechanics and Dimensional Analysis |
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| DING Guang-tao.The Inverse Problem of Lagrangian Mechanics and Dimensional Analysis[J].Journal of Anhui Normal University(Natural Science Edition),2018,41(1):1-4. |
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| Authors: | DING Guang-tao |
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| Abstract: | It is pointed out that there is a tendency to pay attention to mathematical methods and neglect physical significance in the study of the inverse problem of Lagrangian mechanics.The harmonic oscillator and linear damped oscillator are discussed in detail to illustrate that the solutions of some inverse problems are inconsistent with the physical laws,for example,the dimensional theory.It is pointed out that there is a difference between the inverse problem of the calculus of variations and the inverse problem of Lagrangian mechanics. |
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