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【20160404】Follower Motion Schemes
9 \7 m$ c U# e, U4 B6 k0 _從動(dòng)件運(yùn)動(dòng)模式
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! r+ k6 a6 v4 q8 FIn 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.
+ u" q" f& f' e' i設(shè)計(jì)凸輪時(shí),,我們的目標(biāo)是找出合適的凸輪外形,。但最初的目的是確保從動(dòng)件將按照預(yù)期進(jìn)行運(yùn)動(dòng)。凸輪外形僅僅是獲得此種運(yùn)動(dòng)的方式,。
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9 J" Q5 a5 w( Y2 OConstant Velocity:Uniform velocity, and zero acceleration
9 T. D( _1 t) L% m( U3 m常速運(yùn)動(dòng):勻速,,加速度為零, x" e% ~1 p, I4 {. K
Problems:The instantaneous jump from one constant value of velocity to another constant value of velocity results in an infinite acceleration." h' \1 Z* x5 f) J
問題:從一種勻速狀態(tài)到另一狀態(tài),所需加速度無限大,。
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constant velocity
2016-4-4 17:55 上傳
l4 t6 y U" n1 iConstant Acceleration:Constant positive and negative accelerations1 P1 N, [. C5 }, P) l
勻加速運(yùn)動(dòng):加速度連續(xù)同向
( k4 P2 L! l2 t3 q8 i& R& y! q* wProblems:The abrupt changes of acceleration at the end of the motion result in abrupt changes in inertial forces.5 b0 s) T6 o* j, v- K; A* W
問題:加速度突然轉(zhuǎn)變,,所需內(nèi)力無限大。5 I5 c; S, k2 G+ j1 S4 m" B1 W0 k
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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.
) `$ f7 A6 l- K+ H- |: U8 R& @簡(jiǎn)諧運(yùn)動(dòng):三角函數(shù)推導(dǎo)而來,,因此具有平滑的運(yùn)動(dòng)曲線,。, E- i( y$ B1 ?0 j! ], A& K
Problems:It has a sudden change of acceleration at the ends of the motion, which can be objectionable at higher speeds.
( [$ Q/ f1 t3 O& j' S. Z7 q( _問題:在運(yùn)動(dòng)末尾加速度會(huì)突變,這在高速下十分不便,。, b& ? u3 s' w+ d
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harmonic motion
2016-4-4 18:02 上傳
! R6 G# ~( l" ?! L6 y3 j6 oCycloidal Motion:Cycloidal motion is another motion scheme derived from trigonometric functions.
6 B/ z3 z- E" M* w7 j. U4 ~擺線運(yùn)動(dòng):另一種由三角函數(shù)導(dǎo)出的運(yùn)動(dòng)類型,。. C$ u+ l' y1 b w6 [; u# b n' M
This scheme does not have the sudden change in acceleration at the ends of the motion, which makes it popular for high-speed applications.
( d2 d$ A" @4 N$ Y. r( u加速度不突變,在高速運(yùn)動(dòng)中廣為應(yīng)用,。
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cycloidal motion
2016-4-4 18:04 上傳
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3 ^4 P8 F/ x7 ^The time derivative of the acceleration is referred to as jerk.# Z) z$ r8 N+ E V! U! @
加速度對(duì)時(shí)間的導(dǎo)數(shù)稱為急動(dòng)度,。
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+ G/ t% c+ Z% QA 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.
7 c2 Q% M/ V1 K" g5 M$ _, b( g- ^/ |0 G如表所示是各種運(yùn)動(dòng)模式的速度峰值、加速度峰值及急動(dòng)度峰值的對(duì)比,。
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Table 9.5
2016-4-4 18:08 上傳
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