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【20160404】Follower Motion Schemes
: F; Q' x6 G5 W* v$ r從動件運動模式
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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.
. c9 s3 n& O$ y# b9 C設(shè)計凸輪時,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件將按照預(yù)期進(jìn)行運動。凸輪外形僅僅是獲得此種運動的方式。; {. X5 k) f" B
( O) c& L6 f2 H6 G1 L4 A$ dConstant Velocity:Uniform velocity, and zero acceleration
3 u- R; v3 K( g' Y! I' J常速運動:勻速,加速度為零
# b+ L; x* s& ^. r5 D* ]% QProblems:The instantaneous jump from one constant value of velocity to another constant value of velocity results in an infinite acceleration.- `# c- w. N+ B2 ]% L y
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
5 {0 d! C! }& x9 FConstant Acceleration:Constant positive and negative accelerations
5 k% p! i; r# e勻加速運動:加速度連續(xù)同向
) ?4 `. H. C% W& ]; \& n$ xProblems:The abrupt changes of acceleration at the end of the motion result in abrupt changes in inertial forces.
L b9 U0 Q! \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
# h! y0 L/ ]- i9 D- D, F- p, E. IHarmonic Motion:Harmonic motion is derived from trigonometric functions, thus exhibiting very smooth motion curves.. T) z, L( O+ j/ ]5 r# ^- R
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。$ f+ l7 }9 Q; I2 r5 o1 n. _: Z
Problems:It has a sudden change of acceleration at the ends of the motion, which can be objectionable at higher speeds.
0 t/ \- J! Q' i6 Z' {問題:在運動末尾加速度會突變,這在高速下十分不便。. t# |/ G, A; l6 t2 O
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harmonic motion
2016-4-4 18:02 上傳
' V# L# ]+ q0 b$ Y0 f! vCycloidal Motion:Cycloidal motion is another motion scheme derived from trigonometric functions.6 T- u- F1 U, ]" z- f
擺線運動:另一種由三角函數(shù)導(dǎo)出的運動類型。
1 H- A2 K- x% t( M: [9 s: pThis scheme does not have the sudden change in acceleration at the ends of the motion, which makes it popular for high-speed applications.
8 W& f3 n5 V9 O6 B6 z, i. b* f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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The time derivative of the acceleration is referred to as jerk.
2 I8 h/ _; a1 d" z- k3 r8 x4 Q加速度對時間的導(dǎo)數(shù)稱為急動度。0 z* K$ k/ c+ I
/ c: |8 |/ |/ z6 hA 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.
* W4 C; w* p! o! v1 {7 o$ S# \9 n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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