| 一类曲面族约束下的最速落径问题 |
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| 引用本文： | 闫贵卿,潘留仙.一类曲面族约束下的最速落径问题[J].烟台大学学报(自然科学与工程版),1992(4):23-26. |
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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： | 继文献1]之后,讨论一类可展曲面族π_λ∶y=2(λz)~(1/2) (λ,z≥0,λ是参数)约束下的落径问题。给出了依赖于参数λ的落径轨迹族 x=(λc)~(1/2)+(λ+c)sin~(-1)(c/(λ+c))~(1/2)-((λ+z)(c-z))~(1/2)-(λ+c)sin~(-1)((c-z)/(λ+c))~(1/2) y~2=4λz (λ≥0)及包络面方程。最后讨论了降落时间与参数λ的关系.
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| 关 键 词： | 最速落径族 曲面族 落径问题 |
Problem of the Quickest Descent Restricted by Family of One-kind Surfaces |
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| Yan Guiqing,Pan Liuxian.Problem of the Quickest Descent Restricted by Family of One-kind Surfaces[J].Journal of Yantai University(Natural Science and Engineering edirion),1992(4):23-26. |
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| Authors: | Yan Guiqing Pan Liuxian |
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| Institution: | Yan Guiqing Pan Liuxian
(Yantai University) (Yiyan Normal College) |
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| Abstract: | |
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| Keywords: | Variation method Family of quickest descent Divergent integral Enveloping plane |
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