论文标题
Demchenko 1923年贝尔格莱德博士学位论文后，陀螺球滚动而没有滑过球的非道理案例
Demchenko's nonholonomic case of gyroscopic ball rolling without sliding over a sphere after his 1923 Belgrade doctoral thesis
论文作者
论文摘要
我们提出了一个可集成的非自我滚动案例，而无需在球体上滑动陀螺球。 Vasilije Demchenko在1923年在贝尔格莱德大学辩护的博士学位论文中详细介绍并详细研究了此案，并以Anton Bilimovic为顾问。这些结果绝对是现代研究人员所不知道的。该研究基于诺伊曼梭状芽孢杆菌的坐标和伏洛内克原理。通过使用所涉及的椭圆功能技术，进行了详细的运动研究。区分了几类特殊类别的轨迹，包括常规和伪定期预次预次预次。在本案中描述了Paul Painleve和Anton Bilimovic引入的所谓显着轨迹。概述了历史背景以及结果在当代力学中的位置。
We present an integrable nonholonomic case of rolling without sliding of a gyroscopic ball over a sphere. This case was introduced and studied in detail by Vasilije Demchenko in his 1923 doctoral dissertation defended at the University of Belgrade, with Anton Bilimovic as the advisor. These results are absolutely unknown to modern researchers. The study is based on the C. Neumann coordinates and the Voronec principle. By using involved technique of elliptic functions, a detailed study of motion is performed. Several special classes of trajectories are distinguished, including regular and pseudo-regular precessions. So-called remarkable trajectories, introduced by Paul Painleve and Anton Bilimovic, are described in the present case. The historic context as well as the place of the results in contemporary mechanics are outlined.
