特定轴对称旋转体在空气中运动的马格努斯效应研究

The Magnus Effect of a Specific Axisymmetric Rotator’s Motion in the Air

本文研究了特定形状的轴对称旋转体以不同初始条件在滑翔过程中,受马格努斯效应作用的运动特性。本文从理论上推导得到旋转体运动方程并进行数值求解,进一步预判特定初始条件下旋转体将出现特殊运动现象——“斤斗”运动,提取并分析了影响“斤斗”运动出现的参数和它们之间的相互关系。本文还从实验上进行了待定参数的测定与拟合,再现了理论预期的“斤斗”运动。

In this paper, the kinetic characteristics of a specific axisymmetric rotator’s gliding in the air with different initial conditions under the influence of the Magnus effect was deeply studied through theoretical analysis, numerical simulation and experiments. The motion equations of the rotator were built theoretically and the numerical solution was obtained. Theoretical predictions were further reproduced in experiments and the related parameters which affect the appearance of cyclotron gyration and their relationship were obtained and analyzed. Undetermined coefficients in these motion equations were fitted according to the trajectories measured in experiments. In addition, a phenomenon of cyclotron gyration was anticipated during numerical simulations.