Brachistochronic motion of nonholonomic nonlinear mechanical system of the Chaplygin type |
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| Affiliation: | 2. Department of Biological Sciences, Marshall University, Huntington, WV 25755;3. Department of Neuroscience, Joan C. Edwards School of Medicine, Marshall University, Huntington, WV 25705;4. Department of Medicine and Surgery, University of Salerno, Italy;5. Department of Data Science, University of Mississippi Medical Center, Jackson, MS 39216;11. Department of Radiation Oncology, University of Mississippi Medical Center Cancer Institute, Jackson, MS 39216 |
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| Abstract: | In this paper, the differential equations of brachistochronic motion of nonholonomic nonlinear system of the Chaplygin type were determined. The additional forces Rα realizing the corresponding motion of the system together with the given forces were also determined. Lastly, the brachistochrone was solved for a concrete model using mathematical numerical methods. |
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