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【20160406】Kinematic inversion
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The cam will be imagined as being stationary.
% E% {3 N1 ?3 N2 q, M" YThe follower then should be rotated opposite to the direction of cam rotation.% A5 s2 i- z9 j
The desired location for the follower, at several positions, is constructed from the base circle.2 ~2 Y9 \/ ]% B: L0 I* b) A
假定凸輪不動,,從動件沿相反方向轉(zhuǎn)動,,在基圓上畫出從動件的幾個預(yù)期運(yùn)動位置。2 k+ j# }, A' s9 }
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To creating the cam shape: wrapping the displacement diagram around the base circle.+ M9 p9 i3 C1 x0 Q
設(shè)計凸輪形狀時,,用從動件位移圖上的位移將基圓“包裹”起來,。
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具體例子:! w" b, M! X' n4 S" n. Z
① In-Line Knife-Edge Follower 對心直動尖頂從動件凸輪
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1. Draw the base circle of radius. c, i7 Y: m9 g" ^8 _
2. Draw the follower in the home position.; C2 g, i. m: _8 \
3. Draw radial lines from the center of the cam, corresponding to the cam angles identified on the displacement diagram.
& K! G5 ~& e$ l2 |0 p4. The follower will be rotated in a direction opposite to the actual cam rotation.
/ g [8 P% z5 K% L' R/ G, D" e2 K5. Transfer the displacements from the displacement diagram to the radial lines.
+ f; a/ k/ G; X2 ~2 }! q6. Measure the displacements from the base circle./ d( |4 {- `3 C, m1 M0 {0 M9 c, n7 f
: c0 j7 l8 ^% p& G1.畫出制定半徑的基圓。) q, h; T7 R1 w$ J5 S, j5 H
2.畫出初始位置的從動件,。3 U7 j$ F4 s2 X& z6 c
3.從中心畫出基圓的徑向線,,角度與位移圖上橫軸凸輪角度相對應(yīng)。
8 M7 u( {* ~) u2 N& j: f" C2 Z4.從動件與凸輪真實(shí)運(yùn)動方向相反,。" L, y M1 H9 a
5.將位移移到徑向線上,。! o+ Q7 M2 [" [8 R+ k$ g
6.測量從動件遠(yuǎn)離凸輪基圓的距離。: a) M q5 t0 A9 O1 V
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② Offset Roller Follower 偏置滾輪從動件
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1. Draw the base circle of radius.( m$ n% r5 R4 |2 { y
2. Draw the follower centerline in the home position.
2 Y$ S: c v% j" C6 l+ a# B3. Draw the prime circle." \4 b5 Y8 r1 ?
4. Draw the follower in the home position of radius.9 y9 [6 D" E( `; {2 o$ y/ s F
5. Draw an offset circle of radius, which will be tangent to the follower centerline.: \3 s$ Z( J8 @3 q% b
6. Draw lines tangent to the offset circle, corresponding to the reference cam angles on the displacement diagram.' f0 U2 |4 i0 g: j$ |' V0 M
7. The follower will be rotated in a direction opposite to the actual cam rotation.' I7 N0 H1 Z' h2 ]& D3 H
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1.畫出制定半徑的基圓,。
7 X3 {8 f! A! f M- G" f2.畫出初始位置的從動件中心線,。4 T3 _0 z: M' K" N: q7 W5 Q* \
3.畫出理論廓線。
) R: f0 S0 B* j! v) E6 x4.畫出初始位置的從動件,。/ a) t1 x7 K( l8 `' {: K# ~
5.以偏心距為半徑畫圓,,與從動件中心線相切。
{+ Q& a0 S, x0 u! n5 A6.與偏距圓相切畫線,,角度與位移圖上橫軸凸輪角度相對應(yīng),。. S1 T& ~" e; g/ {- H
7.從動件與凸輪真實(shí)運(yùn)動方向相反。4 ], {4 f6 j+ b4 a T& B
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