【20160404】Follower Motion Schemes
% M* U2 i3 I f/ _! o8 M從動件運動模式5 B+ I: W% ` G- b, l- {
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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.
+ H* a; n9 d. Z設計凸輪時,我們的目標是找出合適的凸輪外形。但最初的目的是確保從動件將按照預期進行運動。凸輪外形僅僅是獲得此種運動的方式。
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Constant Velocity:Uniform velocity, and zero acceleration
0 R$ ?9 Q5 W4 M2 M# {5 O$ j* g常速運動:勻速,加速度為零
) H9 Y* n9 z2 m. @" X9 @6 [Problems:The instantaneous jump from one constant value of velocity to another constant value of velocity results in an infinite acceleration.' M+ o3 l+ u3 y2 K2 ]
問題:從一種勻速狀態到另一狀態,所需加速度無限大。
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constant velocity
2016-4-4 17:55 上傳
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Constant Acceleration:Constant positive and negative accelerations0 ~9 {( l, P" t& `) |! D/ }
勻加速運動:加速度連續同向0 f w3 n- C" E9 x
Problems:The abrupt changes of acceleration at the end of the motion result in abrupt changes in inertial forces.2 ?7 |, y7 e% H* Y/ h
問題:加速度突然轉變,所需內力無限大。
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constant acceleration
2016-4-4 17:57 上傳
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Harmonic Motion:Harmonic motion is derived from trigonometric functions, thus exhibiting very smooth motion curves.
5 Y' W% P8 M7 [$ c2 ?簡諧運動:三角函數推導而來,因此具有平滑的運動曲線。% j; n" H1 k3 l: X5 }
Problems:It has a sudden change of acceleration at the ends of the motion, which can be objectionable at higher speeds.
3 ?4 R c0 h1 w4 J/ S7 A問題:在運動末尾加速度會突變,這在高速下十分不便。2 `: g6 ?( b' ~) m8 I# C' D
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harmonic motion
2016-4-4 18:02 上傳
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Cycloidal Motion:Cycloidal motion is another motion scheme derived from trigonometric functions.
. T4 `- r6 F, {1 K/ B! y- S擺線運動:另一種由三角函數導出的運動類型。
" j( ]% k3 E" _( {( VThis scheme does not have the sudden change in acceleration at the ends of the motion, which makes it popular for high-speed applications.' w0 S8 X9 G, c( J3 I* x
加速度不突變,在高速運動中廣為應用。
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cycloidal motion
2016-4-4 18:04 上傳
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j# Y! W0 t+ r+ G3 c& F6 J2 nThe time derivative of the acceleration is referred to as jerk.: @' [+ E: T6 [% i
加速度對時間的導數稱為急動度。- j1 h% H& U& s$ h
5 y$ N1 A8 b, \- K% _+ e9 jA 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.
" v( T' E- N* @ A如表所示是各種運動模式的速度峰值、加速度峰值及急動度峰值的對比。
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Table 9.5
2016-4-4 18:08 上傳
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