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【20160325】Position and Displacement Analysis
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Objectives:
: u% P* Z9 |7 {# X( i# [# j2 o" H1. Determine the position of all links in a mechanism as the driver links are displaced.: v( h" \- u d' ?- N' n
2. Determine the limiting positions of a mechanism.
, ]% B! D3 h) s6 a4 ]目標(biāo):
* o, `) u7 S, i6 B3 ], l' h# p1.在主動(dòng)件位置已知的情況下確定其余構(gòu)件的位置,;
r# _) S) I# ^) N7 Y! B5 P0 B2.確定機(jī)構(gòu)的極限位置,。
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Two types of methods
" P0 @3 i/ C o1 I* \8 T- GraphicalAnalysis
- AnalyticalAnalysis
7 A8 E T/ _, |, V9 G 兩種方法:圖示法,、解析法( T4 u: n" v8 t q- Q
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Position and displacement analysis:! T* J; [& N; i0 \" Z# Q1 P. ^+ {
locating the position of all links (configuration) in amechanism as the driver link(s) is displaced.
4 m! R* Y' v6 \8 D) W定義:在主動(dòng)件位置已知的情況下確定其余構(gòu)件的位置。
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Graphical Analysis0 n7 j: L: b0 I1 x' c
圖解法分析步驟9 d) B1 U3 `8 Z, [# \
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! z7 O3 K' u0 F5 Y0 D; f1.Point B moves to B’0 S9 O$ C& A! F- e: f M# q
2.Point C must always lay on its constrained path
- Y7 f9 I& N7 J& `; P1 N3.The length between B and C must stay constant! H5 ~/ Z( S& m5 @4 V0 ]$ U' a4 E
畫主動(dòng)件→畫定軸轉(zhuǎn)動(dòng)軌跡→連桿長(zhǎng)度不變→交點(diǎn)5 k' R C3 R, `; T
; k1 M, E& [ a7 u4 o. E8 _Analytical Analysis
. S6 k. O P+ p, Y解析法
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Limiting position6 K% C6 T8 B, R" ?( v
The configuration of a mechanism that places one of the follower links in an extreme location is called a limiting position.
* J6 I# M2 n. D. x% }4 |! a |6 ^從動(dòng)件之一處于其極限位置的機(jī)構(gòu)位置稱極限位置,。3 j- }' ^; ]; { b2 l m
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+ n+ g1 U! Y7 x# n* _" _1 qThe crank and coupler become collinear.
7 d: S6 O: B( E6 \8 D2 O' U7 fImbalance angle - the angle between the coupler configuration at the two limiting positions.
" Q+ T- V7 f2 a2 q+ {( M3 T5 b曲柄和連桿共線時(shí)達(dá)到極限位置,;
1 @; f1 p9 J! h. i/ u) E極位夾角:連桿在兩極限位置之間時(shí)所形成的角。
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- y+ ?" S, I$ v6 t# WTransmission Angle
5 s( e* f6 s/ G: ~) D3 H0 e, L6 E# \The mechanical advantage ( output force/ input force) is proportional to the sine of the transmission angle.
+ |# m; @/ e& ~! t6 c9 \2 K傳動(dòng)角:機(jī)械增益(輸出力比輸入力)與傳動(dòng)角的正弦成正比,。
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