圈上克大峰Fundamental Law of Cam Design Any cam designed for operation at other than very low speeds must be designed with the following constraints The cam function must be continuous through the first and second derivatives of displacement across the entire interval(360 degrees). Corollary: The jerk must be finite across the entire interval(360 degrees). 圈上泽夫道大学 Motion Diagram Example ▣ Problem: Consider the following cam design CEP specification > Dwell Low:at zero displacement for 900 >Rise:25mm in 900 >Dwell High:at 25mm for 900 >Fall:25mm in 900 >Cam rotation speed:2n rad/s Solution:Using simple harmonic motion h is the rise,0 is the camshaft angle,B is the total angle of the rise interval 0 22 45 78 90 1212 Fundamental Law of Cam Design Any cam designed for operation at other than very low speeds must be designed with the following constraints  The cam function must be continuous through the first and second derivatives of displacement across the entire interval (360 degrees). Corollary:  The jerk must be finite across the entire interval (360 degrees).  Problem: Consider the following cam design CEP specification  Dwell Low: at zero displacement for 900  Rise: 25mm in 900  Dwell High: at 25mm for 900  Fall: 25mm in 900  Cam rotation speed: 2π rad/s  Solution: Using simple harmonic motion Is good? Motion Diagram Example h is the rise, θ is the camshaft angle, β is the total angle of the rise interval