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。
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.
出处
《烟台大学学报（自然科学与工程版）》
CAS
1992年第3期12-15,共4页
Journal of Yantai University(Natural Science and Engineering Edition)
关键词
变分原理
最速落径
包络面
Variation principle. Brachistochrone. Enveloping surface.
