Physics and mathematical model for boomerang flight

R. Usubamatov
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引用次数: 0

Abstract

The boomerang flight is presented in the known publications by the action of aerodynamic forces and gyroscopic precession torque. This solution does not give a true answer because gyroscopic effects are expressed by the action of the eight interrelated inertial torques generated by the rotating objects. The publications with numerical modeling do not describe the physics of the boomerang flight. Today, the solution of this problem is presented by the mathematical model with the action of the lift forces and inertial torques generated by the rotating boomerang. The boomerang flight is described by the methods of theories of aerodynamics and gyroscopic effects that express the kinetic energy of the boomerang motion and rotation. The mathematical model for the boomerang flight contains multifunctional and interrelated expressions of two theories, which manual solution is sophisticated, but solved by computer software without numerical modeling. The analytical solution for the boomerang flight describes its physics and presents a good example for the educational process of engineering mechanics and aerodynamics.
回旋镖飞行的物理和数学模型
在已知的文献中,回旋镖的飞行是由气动力和陀螺进动力矩的作用所引起的。这个解不能给出一个真实的答案,因为陀螺效应是由旋转物体产生的八个相互关联的惯性力矩的作用来表示的。带有数值模拟的出版物没有描述回旋镖飞行的物理特性。目前,这一问题的解决是由一个数学模型提出的,该模型考虑了旋转回旋镖产生的升力和惯性力矩的作用。用空气动力学理论和陀螺仪效应的方法描述了回飞镖的飞行过程,它们表达了回飞镖运动和旋转的动能。回旋镖飞行的数学模型包含两种理论的多功能相互关联的表达式,人工求解复杂,而计算机软件求解不需要数值模拟。回旋镖飞行的解析解描述了它的物理性质,为工程力学和空气动力学的教学过程提供了一个很好的例子。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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