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欧拉刚体旋转定理虚拟实验设计
Virtual Experiment Design of Euler’s Rigid Body Rotation Theorem
【摘要】 针对刚体运动学相关课程教学过程中的欧拉旋转定理难以讲授、不易理解的问题,设计一套证明该定理的虚拟实验台。该实验台由两个装置组成,一个装置用于给定刚体一个任意姿态,另一个装置用于演示欧拉旋转定理的一次转轴和一次转角,并且其中刚体绕一次转轴转动一次转角即能转到第一个装置中刚体的姿态,从而证明欧拉旋转定理。经多年教学实践检验,这种虚实结合的实验方案具有较好的教学效果。
【Abstract】 Aiming at the problem that Euler’s rotation theorem is difficult to teach and understand in the teaching process of courses related rigid body kinematics, a set of virtual experimental platform is designed to prove the theorem. The experimental platform consists of two devices, one is used to give a rigid body an arbitrary attitude, the other is used to demonstrate the single-rotation axis and single-rotation angle of Euler’s rotation theorem, and the rigid body of device two can turn to the attitude of the rigid body of device one when it rotates single-rotation angle around the single-rotation axis, thus proving the Euler’s rotation theorem. After many years of teaching practice, the experimental scheme of combining virtual with real has a good teaching effect.
【Key words】 Euler’s rotation theorem; rigid body kinematics; virtual experiment; experimental station;
- 【文献出处】 中国教育技术装备 ,China Educational Technology & Equipment , 编辑部邮箱 ,2021年08期
- 【分类号】G642.423;O311.2-4
- 【下载频次】28