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【20160406】Kinematic inversion
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The cam will be imagined as being stationary.: G- A4 J0 e6 A6 F: [
The follower then should be rotated opposite to the direction of cam rotation.& e/ t! {; H' T$ S$ Z, B3 Q* Q
The desired location for the follower, at several positions, is constructed from the base circle.
3 X& s3 C% R' ~7 `! 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)期運動位置。
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4 O& ~% R K$ }( {7 B# f' vTo creating the cam shape: wrapping the displacement diagram around the base circle.% M( M0 r0 k* K# c2 y; M \
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。" v( A) V. F3 D, K) g
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$ p1 s' o/ _5 y) {具體例子:2 _0 |! i2 d0 n
① In-Line Knife-Edge Follower 對心直動尖頂從動件凸輪+ M; I) J5 T" ]/ t4 l# I) ~
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1. Draw the base circle of radius.' ]) k1 q' s8 u2 V
2. Draw the follower in the home position.
' z4 Q& c5 K2 l7 n, k4 I3. Draw radial lines from the center of the cam, corresponding to the cam angles identified on the displacement diagram.$ p- Z6 r; S4 o& L3 i5 I
4. The follower will be rotated in a direction opposite to the actual cam rotation.
6 k' o6 c$ i* z. Y0 ^$ R5. Transfer the displacements from the displacement diagram to the radial lines.
; D, P8 z' [$ x6. Measure the displacements from the base circle.7 z6 J; S/ L- l
4 m# u: q _' I; w* X. d1.畫出制定半徑的基圓。7 {6 n# ^, V) ]8 k
2.畫出初始位置的從動件。. C6 u, [0 p( @) Y1 ], F
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)。3 c: d6 P8 m8 w% d
4.從動件與凸輪真實運動方向相反。
, A: M! K! ^9 [& i! B5.將位移移到徑向線上。' N3 @3 `$ e* f" ?% l; I/ H" I' Y7 ^7 w
6.測量從動件遠(yuǎn)離凸輪基圓的距離。# a# g, p" k) G, V0 R( R0 i" A" G2 a
* G( T; G4 H8 y( \3 o9 Z0 M4 \② Offset Roller Follower 偏置滾輪從動件
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1. Draw the base circle of radius.6 W! R8 Y2 }5 q
2. Draw the follower centerline in the home position.
+ Y# j1 ], Y% p2 C" N3 U" U+ ^+ o3. Draw the prime circle.
: ~3 D" ~! J/ f9 Z4. Draw the follower in the home position of radius.0 p# S2 ?6 o$ s2 c
5. Draw an offset circle of radius, which will be tangent to the follower centerline.
+ N0 G, b2 O" Q" D* b* g' \6. Draw lines tangent to the offset circle, corresponding to the reference cam angles on the displacement diagram.
3 N8 w& F% s5 D; Q7. The follower will be rotated in a direction opposite to the actual cam rotation.
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1.畫出制定半徑的基圓。
, g" D. t% f6 e+ L6 E8 T4 f; B0 C2.畫出初始位置的從動件中心線。8 h% F4 n+ W# g0 p
3.畫出理論廓線。* f8 a( X6 T$ |" i/ m
4.畫出初始位置的從動件。
; Z0 C3 x! H S5.以偏心距為半徑畫圓,與從動件中心線相切。. a+ B6 q6 y9 d
6.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)。0 Q$ O; Y) |; @) C2 D5 ~
7.從動件與凸輪真實運動方向相反。
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