高等学校机械原理教材有关运动分析的章节中,均导出了平面四杆机构从动构件的速度(或角速度)计算公式,但并未展开作进一步讨论,关于速度极值的出现位置,亦未作任何阐述。近年修订的一本通用教材,在“平面连杆机构及其设计”一章中新...高等学校机械原理教材有关运动分析的章节中,均导出了平面四杆机构从动构件的速度(或角速度)计算公式,但并未展开作进一步讨论,关于速度极值的出现位置,亦未作任何阐述。近年修订的一本通用教材,在“平面连杆机构及其设计”一章中新加入一道按滑块最大速度与平均速度的比值设计对心曲柄滑块机构的习题,由于教材中未涉及滑块速度最大值出现在什么位置,故该习题后面给出了这样一个提示:“滑块 C 的最大速度 v<sub>σmax</sub>出现在曲柄与连杆的夹角(?展开更多
Based on the differential geometry, the expressions of centrodes and axodes as well as their invariants are derived. And then, the kinematic meanings of them are revealed. Meanwhile, the properties of a point trajecto...Based on the differential geometry, the expressions of centrodes and axodes as well as their invariants are derived. And then, the kinematic meanings of them are revealed. Meanwhile, the properties of a point trajectory in planar, spherical and spatial motion or a line trajectory in spatial motion are discussed. A main clue for the unified curvature theory in kinematic geometry of mechanism is set up in the form and content from plane to space motion.展开更多
文摘高等学校机械原理教材有关运动分析的章节中,均导出了平面四杆机构从动构件的速度(或角速度)计算公式,但并未展开作进一步讨论,关于速度极值的出现位置,亦未作任何阐述。近年修订的一本通用教材,在“平面连杆机构及其设计”一章中新加入一道按滑块最大速度与平均速度的比值设计对心曲柄滑块机构的习题,由于教材中未涉及滑块速度最大值出现在什么位置,故该习题后面给出了这样一个提示:“滑块 C 的最大速度 v<sub>σmax</sub>出现在曲柄与连杆的夹角(?
文摘Based on the differential geometry, the expressions of centrodes and axodes as well as their invariants are derived. And then, the kinematic meanings of them are revealed. Meanwhile, the properties of a point trajectory in planar, spherical and spatial motion or a line trajectory in spatial motion are discussed. A main clue for the unified curvature theory in kinematic geometry of mechanism is set up in the form and content from plane to space motion.