【20160404】Follower Motion Schemes. g) X$ R2 E, x# g! F/ F
从动件运动模式
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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." ~ ^- j/ o3 b6 L2 Q1 m
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 l( o- e: F1 }+ k8 U' [ j
3 A9 N( B' }, l: {Constant Velocity:Uniform velocity, and zero acceleration
( M) P2 Q- ]5 u; z$ ?9 G4 |常速运动:匀速,加速度为零
7 {+ |. ]: O; M* M7 aProblems:The instantaneous jump from one constant value of velocity to another constant value of velocity results in an infinite acceleration.
$ C% Z8 M: O$ X& T' [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! E. s3 e0 D. k' e$ H
匀加速运动:加速度连续同向
* P w# a+ _1 I' EProblems:The abrupt changes of acceleration at the end of the motion result in abrupt changes in inertial forces.
' q( z& N6 M$ O' ~6 w7 R9 \% u问题:加速度突然转变,所需内力无限大。- ?7 [' E- r% D- d R
constant acceleration
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Harmonic Motion:Harmonic motion is derived from trigonometric functions, thus exhibiting very smooth motion curves.% V( c% b3 F# z" {- m* Z0 X
简谐运动:三角函数推导而来,因此具有平滑的运动曲线。' B* {( K$ U5 x, T0 }1 c
Problems:It has a sudden change of acceleration at the ends of the motion, which can be objectionable at higher speeds.' w' w, H8 `* R; i* m
问题:在运动末尾加速度会突变,这在高速下十分不便。
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harmonic motion
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Cycloidal Motion:Cycloidal motion is another motion scheme derived from trigonometric functions.3 y8 `9 o( s* o, x% P! ]
摆线运动:另一种由三角函数导出的运动类型。
9 d- x" A8 s/ v; ~This scheme does not have the sudden change in acceleration at the ends of the motion, which makes it popular for high-speed applications.
" g$ t' V* {" K加速度不突变,在高速运动中广为应用。' B+ P2 w- f. C9 w B7 X5 w, @* T
cycloidal motion
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: L O5 u/ \" w/ m$ J1 |The time derivative of the acceleration is referred to as jerk.
( T' Y3 j3 W5 P# t7 ]5 V* H( F加速度对时间的导数称为急动度。
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6 g. [4 x$ T( PA 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.
. x# [3 n' Q0 p% ^! T# h9 ?8 ~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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