【20160404】Follower Motion Schemes; I3 V" y% F3 U! E- @# e
从动件运动模式% ^6 C4 E5 N3 k3 L0 i( T) K9 h) d* h
2 I- S+ C6 g. _$ R# S" xIn designing a cam, the objective is to identify a suitable shape for the cam. The primary interest is to ensure that the follower will achieve the desired displacements. The shape of the cam is merely a means to obtain this motion.0 Y% U' Q! u' J9 K
设计凸轮时,我们的目标是找出合适的凸轮外形。但最初的目的是确保从动件将按照预期进行运动。凸轮外形仅仅是获得此种运动的方式。* E* q" ^) p7 d6 {
4 ]+ B# ]; [7 XConstant Velocity:Uniform velocity, and zero acceleration4 P( H3 ]5 o1 k* |3 v8 S' P
常速运动:匀速,加速度为零& g, @% ?! W. R9 P
Problems:The instantaneous jump from one constant value of velocity to another constant value of velocity results in an infinite acceleration.
( F @6 L( r( M% r% E3 Q8 y问题:从一种匀速状态到另一状态,所需加速度无限大。
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constant velocity
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Constant Acceleration:Constant positive and negative accelerations) k! B2 g' A1 M0 D" C: z- |7 `
匀加速运动:加速度连续同向
0 l* v8 s2 R" ]) OProblems:The abrupt changes of acceleration at the end of the motion result in abrupt changes in inertial forces.4 V: X) p! U" q5 N
问题:加速度突然转变,所需内力无限大。' h$ Z" m# w2 D3 Y) Q$ g# R5 R
constant acceleration
0 d% [* {. V D" K7 l tHarmonic Motion:Harmonic motion is derived from trigonometric functions, thus exhibiting very smooth motion curves.. M" n5 D! E2 L3 l& V X$ t
简谐运动:三角函数推导而来,因此具有平滑的运动曲线。( _9 y' Z, V) g& m# j
Problems:It has a sudden change of acceleration at the ends of the motion, which can be objectionable at higher speeds.
) G' l8 z2 c* b( X2 D0 k问题:在运动末尾加速度会突变,这在高速下十分不便。7 K6 R2 h; N `, G5 x( v% P! r' y
harmonic motion
- y q- C& }4 e' E+ T+ S/ q. \Cycloidal Motion:Cycloidal motion is another motion scheme derived from trigonometric functions.
, x2 a) [( J) L摆线运动:另一种由三角函数导出的运动类型。: a1 E" J6 I( {; l2 j" Y2 G2 B) U, O
This scheme does not have the sudden change in acceleration at the ends of the motion, which makes it popular for high-speed applications.! s0 I" j. t' O
加速度不突变,在高速运动中广为应用。
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cycloidal motion
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4 {) N+ E& ~6 o* C" f$ X$ F6 [/ SThe time derivative of the acceleration is referred to as jerk.
; ^3 v. c8 E9 j% l6 M3 j加速度对时间的导数称为急动度。1 \3 e4 O7 _0 H
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A summary of the peak velocity, peak acceleration, and peak jerk for the different motion schemes, as a function of the rise H and period of the interval T, is shown in Table 9.5.% d6 z6 c# I& u
如表所示是各种运动模式的速度峰值、加速度峰值及急动度峰值的对比。1 W0 Q2 @& H( V
Table 9.5
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