Chapter 10: General motion of a rigid body D810-1 Composition of rotations about two parallel axes
3 §10–1 Composition of rotations about two parallel axes Chapter 10: General motion of a rigid body
Kinematics Chapter 10: General motion of a rigid bod §1 10-1 Composition of rotations about two parallel axes Composition problem of rotations about parallel axes is often encountered in mechanical engineering. For instance, the planet gear wheel in a planet gear mechanism has plane motion. In previous study, we dealt with a plane motion of a planet gear by decomposing it into a translation and a rotation. However, it is more convenient to view the plane motion of a planet gear as a composition of two rotations
5 Chapter 10: General motion of a rigid body §10-1 Composition of rotations about two parallel axes Composition problem of rotations about parallel axes is often encountered in mechanical engineering. For instance, the planet gear wheel in a planet gear mechanism has plane motion. In previous study, we dealt with a plane motion of a planet gear by decomposing it into a translation and a rotation. However, it is more convenient to view the plane motion of a planet gear as a composition of two rotations
远动学 第十章刚体的一般运动 §10-1刚体绕平行轴转动的合成 刚体绕平行轴转动的合成问题在机械中经常遇到。 例如,行星圆柱齿轮机构,行星轮作平面运动。前面 所研究的平面运动是把它看成为平动和转动的合成运 动,但是在分析行星轮系的传动问题时,将行星轮的 平面运动看成为转动与转动的合成运动则比较方便
6 第十章 刚体的一般运动 §10-1 刚体绕平行轴转动的合成 刚体绕平行轴转动的合成问题在机械中经常遇到。 例如,行星圆柱齿轮机构,行星轮作平面运动。前面 所研究的平面运动是把它看成为平动和转动的合成运 动,但是在分析行星轮系的传动问题时,将行星轮的 平面运动看成为转动与转动的合成运动则比较方便
Take a planet gear mechanism as an example. Static system is Oxy Moving system iS O1 Iry Relative motion: rotation about axis O2, y 0. is the relative angular velocity. Embroiling motion rotation about axis O1 @, is the embroiling angular velocity (Look for the animation on the next page) 7
7 (Look for the animation on the next page) Take a planet gear mechanism as an example. Static system is O1 xy Moving system is O1 x'y' Relative motion: rotation about axis O2 , r is the relative angular velocity. Embroiling motion: rotation about axis O1 , e is the embroiling angular velocity