【20160404】Follower Motion Schemes
) B7 g, r4 F; I! ?( B5 J$ }" A* h从动件运动模式9 A" l9 H a3 g" f6 ~
, @0 U$ a4 g8 OIn 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) k6 K! K' h0 }( n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。
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Constant Velocity:Uniform velocity, and zero acceleration
/ z( ?# }6 f2 P! d1 W+ r% f常速运动:匀速,加速度为零
( W1 f) D8 @0 `" ^' ^0 GProblems:The instantaneous jump from one constant value of velocity to another constant value of velocity results in an infinite acceleration." W; L7 g0 O3 s& [" a- [' z2 w
问题:从一种匀速状态到另一状态,所需加速度无限大。6 W {+ P/ N2 A: E- p0 F
constant velocity
2 _2 i( O) V8 V! e, NConstant Acceleration:Constant positive and negative accelerations
- |" h/ m+ i- Z匀加速运动:加速度连续同向; S2 K1 ^7 x8 ~! ]9 g; I! @) e4 H- S1 Q
Problems:The abrupt changes of acceleration at the end of the motion result in abrupt changes in inertial forces." B: H2 b. K5 { o- L1 \- j+ Q
问题:加速度突然转变,所需内力无限大。
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constant acceleration
1 V3 Q4 C9 s9 V& V/ j0 NHarmonic Motion:Harmonic motion is derived from trigonometric functions, thus exhibiting very smooth motion curves.0 S. C! Q7 ~, N0 u
简谐运动:三角函数推导而来,因此具有平滑的运动曲线。2 s* T3 ^' q0 q; i8 o
Problems:It has a sudden change of acceleration at the ends of the motion, which can be objectionable at higher speeds.
4 X' V- e1 G% u8 G" P4 q问题:在运动末尾加速度会突变,这在高速下十分不便。" h' ?( ~, v7 U G- `# d$ i$ H$ |
harmonic motion
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Cycloidal Motion:Cycloidal motion is another motion scheme derived from trigonometric functions.
4 C$ z: Z8 @/ E" [- e2 H摆线运动:另一种由三角函数导出的运动类型。
: C9 y" l" z! E2 f" c; r( ~This scheme does not have the sudden change in acceleration at the ends of the motion, which makes it popular for high-speed applications.
# T+ }$ L x) Q ]7 \- x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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# Y2 ~8 a* G% q; c$ ~The time derivative of the acceleration is referred to as jerk.
( l/ Q) k5 k- ]/ Y j; f- B加速度对时间的导数称为急动度。
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+ u% k! K* M$ g. @( nA 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 9.5.5 S$ Q4 ? v% n
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。
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Table 9.5
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