【20160404】Follower Motion Schemes
, N% R1 \" u& c: G1 P從動件運動模式5 o6 i* M$ d' J6 X1 v4 r
" t2 ?% @1 f) w9 a% tIn 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.# t- e9 ]7 _& E% `$ W# V% H; y" x: W; ?
設(shè)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(yù)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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- L# U1 `. V. V$ ^& @$ SConstant Velocity:Uniform velocity, and zero acceleration! V4 k) }( v1 n e5 m# N) p
常速運動:勻速,加速度為零+ i: Z4 q6 B, Y! @9 l
Problems:The instantaneous jump from one constant value of velocity to another constant value of velocity results in an infinite acceleration.
# `# P6 I- a1 A問題:從一種勻速狀態(tài)到另一狀態(tài),所需加速度無限大。8 g2 I: _; G, q: t- q! a6 Z
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constant velocity
2016-4-4 17:55 上傳
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Constant Acceleration:Constant positive and negative accelerations
& X8 Z/ W( ]# w' U勻加速運動:加速度連續(xù)同向9 R! ~+ N" j) v% i9 D
Problems:The abrupt changes of acceleration at the end of the motion result in abrupt changes in inertial forces.6 ]- C6 \7 E& G# `- U F
問題:加速度突然轉(zhuǎn)變,所需內(nèi)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.' ~* K$ Z6 X" \
簡諧運動:三角函數(shù)推導(dǎo)而來,因此具有平滑的運動曲線。
% A, [2 k& `: l$ Y, ?Problems:It has a sudden change of acceleration at the ends of the motion, which can be objectionable at higher speeds.. U0 w% f8 Y' d, A" [* r) c
問題:在運動末尾加速度會突變,這在高速下十分不便。% F8 ~# Z7 B& @& b2 {6 Q0 T
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harmonic motion
2016-4-4 18:02 上傳
* E6 T# X3 l/ c: OCycloidal Motion:Cycloidal motion is another motion scheme derived from trigonometric functions.
4 T" } |( z% n, t9 N- u擺線運動:另一種由三角函數(shù)導(dǎo)出的運動類型。
1 O7 c. g" C' j6 h+ w. I& Y( dThis scheme does not have the sudden change in acceleration at the ends of the motion, which makes it popular for high-speed applications.6 }5 X. p% c Q
加速度不突變,在高速運動中廣為應(yīng)用。
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cycloidal motion
2016-4-4 18:04 上傳
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7 s+ w3 q( C: Z3 aThe time derivative of the acceleration is referred to as jerk.7 ]9 ? I7 H, U% g6 \. ?+ e
加速度對時間的導(dǎo)數(shù)稱為急動度。
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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 9.5.0 R4 K* r1 o! _, s
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。/ `. F' b$ ~( W5 k3 F/ D
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Table 9.5
2016-4-4 18:08 上傳
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