【20160404】Follower Motion Schemes: l3 f) A: [3 p* J5 }7 {# B9 m
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.8 S& A( S. R- w* }' W9 W4 l
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。. F7 y+ _4 ?- d' [0 T# @
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Constant Velocity:Uniform velocity, and zero acceleration3 \- W4 [* Y1 ? I( l5 s
常速運動:勻速,加速度為零
: I8 F7 K5 j+ D5 g% S' T; qProblems:The instantaneous jump from one constant value of velocity to another constant value of velocity results in an infinite acceleration./ I9 _- ^% E: q, q, ?: }' t. a+ F
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
: B1 t1 |& \6 `( H9 qConstant Acceleration:Constant positive and negative accelerations, {) q2 m7 E( S9 \ T/ g! Z
勻加速運動:加速度連續同向
$ H0 C" M7 v* @% ]! g& X/ X! GProblems:The abrupt changes of acceleration at the end of the motion result in abrupt changes in inertial forces.
( u6 A- m" R4 d6 a5 L% |; ^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.. k! U; ?4 `2 W9 n2 A* j& y+ p) J
簡諧運動:三角函數推導而來,因此具有平滑的運動曲線。9 ~5 C ~$ t X, m# k
Problems:It has a sudden change of acceleration at the ends of the motion, which can be objectionable at higher speeds.$ E2 z9 q* i Q' V
問題:在運動末尾加速度會突變,這在高速下十分不便。; |! N, S4 \* i( D' E+ E# f
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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.
5 x1 f8 a- O1 H; N! w6 m) g擺線運動:另一種由三角函數導出的運動類型。
* D: R* x1 m m# MThis scheme does not have the sudden change in acceleration at the ends of the motion, which makes it popular for high-speed applications.
1 C# q. [7 [3 U加速度不突變,在高速運動中廣為應用。3 `/ v# }& _+ o$ P; X/ o% s/ q3 B- p
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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.& ?, X7 W& N$ P& h+ e# V( G
加速度對時間的導數稱為急動度。/ ?3 |3 N' z- I }
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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.
( D/ _$ N3 i% _0 Q/ C1 Z6 Q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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