【20160404】Follower Motion Schemes) R5 B3 |' t. I# n0 y
从动件运动模式
' o, E' b$ ] N/ C% o9 p
9 ]; ]4 A+ k; u, q5 _In 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. D/ U' K4 [3 L5 j* m/ U0 \+ f
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。
3 t9 {% I' s1 f( m+ O/ N. F+ D
+ p$ \4 f/ H. t; p- `# X5 DConstant Velocity:Uniform velocity, and zero acceleration
" K j5 R2 x6 A" E2 u常速运动:匀速,加速度为零0 R9 K- @7 F C' F5 e7 A
Problems:The instantaneous jump from one constant value of velocity to another constant value of velocity results in an infinite acceleration.% P" V1 t* z0 \# {! h/ a9 Q6 [" }; Q
问题:从一种匀速状态到另一状态,所需加速度无限大。
* [; t4 ~1 F3 ]+ D
constant velocity
/ E c+ P# I+ |1 KConstant Acceleration:Constant positive and negative accelerations
4 c! i: ?; U. N/ R匀加速运动:加速度连续同向
# M" j- W" R* e6 I5 g6 ], n2 `Problems:The abrupt changes of acceleration at the end of the motion result in abrupt changes in inertial forces.
) h! l4 L7 W1 Z* E: e' q问题:加速度突然转变,所需内力无限大。
; y% B( J) p4 G% z6 ?% e
constant acceleration
_1 Q K( W4 \9 FHarmonic Motion:Harmonic motion is derived from trigonometric functions, thus exhibiting very smooth motion curves.1 J* c( X! d' S' B$ P
简谐运动:三角函数推导而来,因此具有平滑的运动曲线。
/ G- m$ m; _: m3 @- E/ AProblems:It has a sudden change of acceleration at the ends of the motion, which can be objectionable at higher speeds.: G3 E1 V4 w* u- s4 Z/ L: _
问题:在运动末尾加速度会突变,这在高速下十分不便。
" r( _* {% t4 |$ P) j6 J5 E. `: ^
harmonic motion
& W/ ]: L# q! e; B8 jCycloidal Motion:Cycloidal motion is another motion scheme derived from trigonometric functions.7 e' H0 L0 \8 B: l3 }
摆线运动:另一种由三角函数导出的运动类型。1 k: M0 E$ H" W' t7 {
This scheme does not have the sudden change in acceleration at the ends of the motion, which makes it popular for high-speed applications.
; C# j9 Q6 r7 Z% G' Z [. N加速度不突变,在高速运动中广为应用。
2 x, a8 m# _9 G% n
cycloidal motion
& Y B& E9 x3 b! _& I% l
B: u8 Z" B6 S" b. Z! r E3 M0 r- |The time derivative of the acceleration is referred to as jerk.
4 Q0 p3 M) h- E加速度对时间的导数称为急动度。' f, Q7 F* C0 H {
; m' f: i" s t/ \- r, M
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.
$ h% R7 d8 Z" R+ ]* o6 D7 p3 X9 E; p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。
- }$ o8 [' Q7 X, o- u
Table 9.5
+ B8 L) S( v( g; j4 U# n
j) n! _: _- M; q( Q
|