| 一族斜面约束下的落径问题 |
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| 引用本文： | 闫贵卿,潘留仙.一族斜面约束下的落径问题[J].烟台大学学报(自然科学与工程版),1992(3):12-15. |
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| 作者姓名： | 闫贵卿 潘留仙 |
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| 作者单位： | 烟台大学
(闫贵卿)，益阳师专(潘留仙) |
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| 摘 要： | 讨论了一类具有实际应用背景的斜面族约束下的最速落径问题。应用变分方法计算了落径轨迹和降落时间,讨论了它们与斜面参变角的关系。最后给出了轨迹包络面方程。
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| 关 键 词： | 变分原理 最速落径 包络面 |
Brachistochrone under the Constraint of a Cluster of Inclined Planes |
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| Yan Guiqing,Pan Liuxian.Brachistochrone under the Constraint of a Cluster of Inclined Planes[J].Journal of Yantai University(Natural Science and Engineering edirion),1992(3):12-15. |
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| Authors: | Yan Guiqing Pan Liuxian |
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| Institution: | Yan Guiqing Pan Liuxian
(Yantai University) (Yiyang Normal College) |
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| Abstract: | In this paper, we have discussed the brachistochrone problem under the constraint of a cluster of inclined planes which is of great use in practical purposes. The falling path and the falling time were calculated by using variational calculus and their relation with the inclined angle was obtained. The equation of the pathway enveloping surface was given. |
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| Keywords: | Variation principle Brachistochrone Enveloping surface |
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