An inverse problem in analytical dynamics |
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| Authors: | Li Guang-Cheng and Mei-Feng-Xiang |
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| Affiliation: | Department of Mechanics, Beijing Institute of Technology, Beijing 100081, China |
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| Abstract: | This paper presents an inverse problem in analytical dynamics. Theinverse problem is to construct the Lagrangian when the integrals ofa system are given. Firstly, the differential equations are obtainedby using the time derivative of the integrals. Secondly, thedifferential equations can be written in the Lagrange equationsunder certain conditions and the Lagrangian can be obtained.Finally, two examples are given to illustrate the application of theresult. |
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| Keywords: | inverse problem analytical dynamics integral Lagrangian |
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