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標(biāo)題: 螺桿轉(zhuǎn)子刀具設(shè)計 數(shù)學(xué)模型 [打印本頁]
作者: shouce 時間: 2015-5-26 19:44
標(biāo)題: 螺桿轉(zhuǎn)子刀具設(shè)計 數(shù)學(xué)模型
本帖最后由 shouce 于 2015-5-26 19:49 編輯 5 l; P# j; q4 j
1 Q% ]$ e1 D% y8 } 螺桿轉(zhuǎn)子刀具設(shè)計
設(shè)中心距 100mm 陰陽轉(zhuǎn)子齒數(shù)比為6：4 型線為原始單邊對稱型線 齒高半徑為0.25*100=25mm 如下圖1所示
' J7 e* K' z }% K1 Z7 M0 I
陰轉(zhuǎn)子型線方程為： x=60-25*cos(t)
y=25*sin(t) 形狀如圖2
* f( n" ]# x2 U9 \7 ct的范圍【-1.361，1.361】弧度表示
5 u n* I6 F+ Y& w4 T t( v螺旋角為45度 螺桿旋向為左旋 陰轉(zhuǎn)子的扭轉(zhuǎn)角為5.235弧度 則陰轉(zhuǎn)子的導(dǎo)程：T=2*pi*12/10*100*tan45=376.991
P=T/(2*pi)=59.9999
要求轉(zhuǎn)子刀具 先要解下面的方程 如圖3
$ j, i: j* Q7 X& S# x7 v4 P6 z
式中AC為砂輪直徑 設(shè)為500mm Ψ是螺旋角為45度
現(xiàn)需要求150對 （t,τ) 意思是已知一個t 求一個τ 使得上面的方程成立,。 又t的范圍為【-1.361,，1.361】 在這個區(qū)間等間距取150個t 則對應(yīng)有150個τ值 τ 范圍為【0,， 5.235】 整理后方程為：
11679999.7*sin(A1)-1679997.5*cos(B1)*sin(A1)-1499997.5*sin(B1)*cos(A1)-75000*sin(A1)^3-179999.4000005*B1*cos(B1)*cos(A1)+179999.4000005*B1*sin(B1)*sin(A1)+75000*cos(B1)*cos(A1)*sin(A1)=0
注A1表示t B1表示τ
解出這個方程后 將（t,τ)代入轉(zhuǎn)子螺旋齒面方程 得到齒面的坐標(biāo)點 再轉(zhuǎn)換到刀具坐標(biāo)系中 得到刀具回轉(zhuǎn)面坐標(biāo) 最后轉(zhuǎn)換為刀具的形狀,。
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作者: shouce 時間: 2015-5-26 20:04
等下次有時間 我來解這個方程
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作者: seekfor 時間: 2015-5-26 20:27
讓我想起大學(xué)畢業(yè)設(shè)計是雙螺桿壓縮機齒形加工刀具設(shè)計了,，端面方程,，齒面方程,，接觸方程，中心距安裝角,，各種算,；可惜matlab沒學(xué)好，求解程序是老師帶的研究生幫忙編制的,。這東西真的是純粹數(shù)學(xué)計算�,，F(xiàn)在忘光了。
作者: shouce 時間: 2015-5-26 22:09
seekfor 發(fā)表于 2015-5-26 20:27 
6 |- a# C: O# h1 ^# Y
讓我想起大學(xué)畢業(yè)設(shè)計是雙螺桿壓縮機齒形加工刀具設(shè)計了,，端面方程，齒面方程,，接觸方程,，中心距安裝角，各 ...
你那時做的齒形 是哪種齒形 是第幾代的型線
* K. k3 {+ i$ K6 ~$ c w
作者: shouce 時間: 2015-8-12 21:56
shouce 發(fā)表于 2015-5-26 20:04 $ E8 J# |% E5 g M0 q
等下次有時間 我來解這個方程
盡信書 不如無書 自己動手計算 才發(fā)現(xiàn)教材的錯誤
作者: shouce 時間: 2015-10-6 21:14
ezplot('1/2*(285+60)*3000*sin(t)-1/2*(25*sin(t)*sin(z)+(60-25*cos(t))*cos(z))*3000*sin(t)+60^2*25*sin(t)*z*sin(z)-60^2*25*cos(t)*z*cos(z)-60*285*(25*cos(t)*sin(z)+25*sin(t)*cos(z))=0',[-1.361 1.361 -5 5]);3 u% g4 J7 h! ~* S) a
axis square" A) v# O5 d( w+ k) \
3 g4 |. A+ @2 k# d5 g/ B1 j; ~1 _0 {: g9 ?8 N- Q. ]6 ?
8 r7 J/ o/ w2 v y# r
作者: shouce 時間: 2015-10-6 21:14
本帖最后由 shouce 于 2015-10-6 21:16 編輯
# h8 g9 Q; u* A& u
: `9 J' e, O. ^* G$ jezplot('1/2*(285+60)*3000*sin(t)-1/2*(25*sin(t)*sin(z)+(60-25*cos(t))*cos(z))*3000*sin(t)+60^2*25*sin(t)*z*sin(z)-60^2*25*cos(t)*z*cos(z)-60*285*(25*cos(t)*sin(z)+25*sin(t)*cos(z))=0',[-1.361 1.361 -5 5]);
% i6 H5 ~5 ^3 G2 a7 G& K- X# F, baxis square
6 N% n: m+ F& E! E
' N( _. x/ ^; `/ z2 J$ T7 U B6 i) K# M F3 a+ S
4 \! u1 p2 F4 u) Y) `7 W0 O
O" m" D; a1 Z# f) F1 R* z8 l$ t
方程快速解法 ：A= @(t,z) 1/2*(285+60)*3000*sin(t)-1/2*(25*sin(t)*sin(z)+(60-25*cos(t))*cos(z))*3000*sin(t);B = @(t,z) 60^2*25*sin(t)*z*sin(z)-60^2*25*cos(t)*z*cos(z)-60*285*(25*cos(t)*sin(z)+25*sin(t)*cos(z));C = @(t) @(z) A(t,z)+B(t,z);
! H+ W5 g4 N1 u! _2 L- zZ = @(t) fzero(C(t),-1.361);9 Z/ m: w* D# ~! |; c+ @- @
作者: 木子12 時間: 2015-10-12 13:55
本科課程設(shè)計,，計算一大堆,，但大多都是用書上的公式
作者: pacelife 時間: 2015-10-12 18:42
樓主能否運用這些數(shù)據(jù)在生成三維圖形
作者: 小楊123589 時間: 2015-10-15 19:47
螺桿馬達(dá)的線型和這個一樣么
作者: shouce 時間: 2015-11-17 22:57
function solve_nonl_single1
: q! _, x: I+ ` _clear all;clc
" k. p% c8 H' d+ w9 Q; Q2 {6 xformat long5 L$ S/ C5 A B" ]& ]% e9 |
global a
1 V, k! a+ T# P1 ?( C$ t; na_span=linspace(-0.06,0.06,200);7 i4 Y# T7 {3 @/ \
n=length(a_span);% v; H! V4 a1 }; G% l' |& j
x0=1e-9;
1 p5 @/ M1 F+ q) k. Toptions=optimset('Algorithm','trust-region-dogleg','TolFun',1e-12,'TolX',1e-12);' @8 n) {& n8 I! i* w4 s
for i=1:n7 |+ @0 C( C1 ^% C* { D
a=a_span(i);
4 M' \8 ~' V0 Z9 f$ S" p" Y x(i)=fsolve(@nonl,x0,options);: Z1 Z0 x4 w9 Q1 S' u4 h/ ^, c
y(i)=nonl(x(i));- Y! s3 U! A9 K( U' C& R i# \5 A+ c
end
8 F& t7 _/ z6 l K# U9 U! s% a: na_span', x',y'. u) w8 G* g# \; x2 k
function f=nonl(x)
. J. _) S5 \4 ^$ Z6 J0 m: v* Rglobal a' T# ?# O* N: I: x" c( n
f=1/2*(285+60)*3000*sin(x)-1/2*(25*sin(x)*sin(a)+(60-25*cos(x))*cos(a))*3000*sin(x)+60^2*25*sin(x)*a*sin(a)-60^2*25*cos(x)*a*cos(a)-60*285*(25*cos(x)*sin(a)+25*sin(x)*cos(a));2 a5 R5 I2 F3 K& W% n
8 D) b. C# `9 X
運行結(jié)果 ans =# u |% \1 Z q" g
-0.060000000000000
6 b: Y8 [- [9 l- ?' L4 {8 U/ q6 D -0.059396984924623
8 s' z) [4 S9 j2 a$ T2 L, W- J/ v5 D# l -0.058793969849246
' P: G5 }0 c1 {7 B+ r -0.058190954773869
/ X- \% L ?3 q( u8 b* z+ L -0.0575879396984926 A ?$ c' l( ?1 y# `3 `
-0.056984924623116
8 }" n2 h, X( J -0.056381909547739
8 T4 A" j2 p$ M+ J. I/ e! p -0.055778894472362" i# [% ] @9 T& [
-0.055175879396985
8 i, W1 u$ h9 Y' A( k -0.0545728643216088 D) r/ J3 c( g8 D- V7 ?/ q2 Z5 [
-0.053969849246231* O1 {- @- s u" _1 C
-0.053366834170854
1 X1 p! n& U) G* y+ v" [2 e- Y -0.052763819095477: I; Y6 H7 P' ~7 L0 L+ P; `9 x
-0.052160804020100- g! }+ Z2 [5 `( H& S
-0.051557788944724
3 u5 p! f0 k0 H) c- C( A -0.0509547738693473 V9 B& i- c1 R; _& L+ X2 a! b& Q
-0.050351758793970' S+ ~$ v# V' k
-0.0497487437185933 v0 ]2 @6 P; \* A% C$ r0 o
-0.049145728643216" a/ u9 T) s, R
-0.048542713567839
& Z: D! l* ?6 |8 q1 V -0.047939698492462
$ t2 n% a) p, f: K! \& x, P -0.047336683417085: a& ~3 Y0 g2 x. C
-0.0467336683417092 i3 g2 O- K; w; `! o+ ]
-0.046130653266332
9 F' h/ l$ {* J7 k# o* I, o2 g -0.045527638190955
) q, c0 E. L6 ]- f( b, J! i" ~& c* T. O -0.0449246231155785 {: f: s! p, { V
-0.044321608040201
6 K: g# P2 g, E2 x& e+ c -0.043718592964824
+ R* A( V6 ]+ R, O3 p -0.043115577889447# _& c( v" @% u- ?
-0.042512562814070
7 ` a6 Z% W+ S -0.041909547738693$ B' Q. W) N! B' ?% ]+ l, c/ y( b
-0.041306532663317* ^: [% c( ~0 [& g3 y! a9 [0 A
-0.040703517587940 ?% |9 j2 ?8 c) e% `1 Q! O
-0.040100502512563+ S4 z5 T. W. p: ~+ m5 E1 S
-0.039497487437186
' W1 \+ g" ?& j; x/ o* n3 \ -0.038894472361809
5 s# m: ^- E/ y7 T -0.038291457286432& W9 n$ j/ w6 \8 \3 \
-0.0376884422110553 V1 \$ K2 n3 W6 N+ q6 [1 W
-0.037085427135678
`: Q: [& G% y0 W7 y3 A# i+ D -0.036482412060302
2 p+ v4 w$ c9 ^2 W -0.035879396984925
' `# ?0 O$ K3 ]4 c! X( Y6 @! P -0.035276381909548
- Q5 q* {% ?: Q8 S' J7 w: Y5 [, A' | -0.034673366834171' t) G" Z; m3 F" F* n6 _- g
-0.034070351758794
o+ U' y, w$ Z$ H4 j. V! @. d2 M3 _ -0.033467336683417
1 M6 d- q* h) X, m# P; U% {* [/ } -0.032864321608040; u- q- C5 e3 L* ?! e" E
-0.032261306532663
" m+ w8 p0 @, n5 H/ y8 _ -0.0316582914572861 M" g& A* g# I8 ^0 x
-0.031055276381910
" T: R* H& }7 l) w% j -0.030452261306533 v# ^; ~5 x- j8 e' o/ e
-0.029849246231156
) o D: @8 W X& R% F. n -0.0292462311557790 _5 J0 e2 w5 `
-0.028643216080402
6 H! x- [8 D- T* a -0.028040201005025
7 _8 _5 R( _$ h, \" r* T7 c -0.0274371859296483 m$ t" Y4 R$ `0 B" C* Y3 Q
-0.026834170854271# c; W3 J' u! W8 ]
-0.0262311557788945 ]% u% m) s s
-0.025628140703518% I% C9 y& G$ T2 e& o
-0.025025125628141
8 s8 ~: E8 p% V2 R* K' U -0.024422110552764
- F) B4 h: c1 b8 l& A* Z$ p -0.023819095477387: p# d+ Z4 i! O7 v, U2 f
-0.023216080402010
9 h- t; u+ D( `! b0 {, d -0.022613065326633/ M" N8 ]% z' v" I! c* E8 z
-0.022010050251256
+ w6 z) [3 H% u( ] -0.021407035175879! z/ L" l1 @/ a w7 F
-0.020804020100503
( m" ?8 I% j. s7 ^ -0.020201005025126% _' m$ `# a9 R" u
-0.019597989949749
; O, ]: [, R+ i% R) Q* e -0.018994974874372
: {: o% ~% P/ k+ u9 W -0.018391959798995; G# C1 ~% u( Z7 D* t3 j
-0.017788944723618
# ~, D7 [6 z d* p! @& L5 H -0.0171859296482416 x/ O; y" m; H4 s8 h8 F
-0.016582914572864" a7 {0 w9 h( K5 G; y: F3 d$ {
-0.015979899497487
8 T, `; }5 L/ l1 Q -0.015376884422111
, F% T! M4 w$ a, i: {/ U# _8 U -0.0147738693467342 X3 `3 ]" Q2 D+ }+ P8 c8 E* Y
-0.014170854271357
+ I5 w( [- B) B, A+ q -0.013567839195980( ^0 t4 H+ x" m0 h
-0.0129648241206035 S) V% u$ W2 Y5 X* [5 q
-0.012361809045226# E2 Q% R+ i* V: J, ?1 M
-0.011758793969849/ p- l6 t+ K1 M9 z: R
-0.0111557788944721 r( o5 @1 l6 G8 b; x
-0.010552763819095; L& E" q+ t# M, J. |8 c7 n
-0.009949748743719
* v0 P; g- i* G9 S$ O8 j8 c -0.0093467336683422 J1 {; s- [8 e
-0.008743718592965
, H! j o* `" l -0.008140703517588* u3 K* B1 ^7 `$ B/ r' S& J
-0.007537688442211
, G' e# @4 j$ v3 R9 q( b& g -0.006934673366834
* R& S. Z+ N' Z) a2 x0 Y -0.006331658291457& A5 S7 k: n, p V/ ?/ a3 c
-0.0057286432160809 t: a/ c# @! g" } _" t* P. j
-0.005125628140704/ l7 `. z9 E3 k
-0.004522613065327
1 N% o. T" c& H: _; C: U -0.003919597989950
3 O" w6 c2 L3 N A -0.003316582914573* d5 L4 G1 t2 `+ a; E) _
-0.002713567839196
r+ n9 k: i+ J -0.002110552763819
3 L1 J' b' |( y& d+ u -0.001507537688442; f5 i/ S/ N( U& S0 Z
-0.000904522613065* {: @: n/ Z, K4 w2 \6 J
-0.0003015075376883 I7 y) A/ r0 Z1 M) c, E1 L1 p
0.000301507537688
8 d: b2 p7 V0 J% u4 M# E8 ? M/ q 0.0009045226130658 P$ O: V6 {9 p: {1 g$ I
0.001507537688442, \6 s& p& e1 G3 [4 S4 S
0.002110552763819
1 J" ?- r1 d2 R3 ^9 ?! u+ T 0.002713567839196
f* e* ^$ Y! I 0.003316582914573: `) Q5 M$ W6 z7 e0 d
0.0039195979899506 d, X, F Z3 {; D: O
0.004522613065327& X" @9 G. p. H# G
0.005125628140704
4 _/ \2 C" M; k 0.005728643216080, S' g. O5 H. g( y. \$ Q' w, k9 n- `1 \
0.006331658291457# r* T0 j! m; I# a; Y7 j# ^2 I
0.006934673366834 F- U5 j& D- H: d8 P8 Q1 D) o( p
0.0075376884422116 ]+ _5 Z% |. o( o, G
0.008140703517588* W7 V# _+ O S% V- ]
0.008743718592965
# B, L9 z' V4 z 0.009346733668342
2 i# ?2 r6 ?% W C8 u" ]5 Q 0.009949748743719
; | B" o4 ^8 N2 r$ ] 0.010552763819095 h- e4 b0 x- a: M2 c
0.011155778894472" t- j* L" e; G
0.011758793969849' v h9 q$ Z3 N
0.012361809045226
Y% H1 i+ L$ E& k 0.0129648241206039 W3 I8 w. W0 S. c
0.013567839195980, J! ?# p9 \5 d- x+ C8 a: b; X
0.014170854271357
5 ]7 {4 n! H% `( o& l$ v6 W 0.014773869346734
. G. n3 O7 v0 v$ m4 l 0.015376884422111
+ c2 a/ ?6 Z. O |3 E3 W 0.015979899497487) d2 ]9 b; Z; J4 u: B8 x: b
0.016582914572864% l4 c: _; E* M a- i8 N6 I
0.0171859296482417 o7 ?3 _! f. H$ v
0.017788944723618. e" @; e' }0 }- J
0.0183919597989954 j, ], e% O) B8 z% f" {
0.018994974874372' z7 A: b1 I( p, R6 z# c
0.019597989949749/ J; G- h7 H" G7 h5 p; r
0.020201005025126
1 m! q$ ?0 y: { C) P* ?0 I 0.020804020100503
, e! }- a! p! g 0.021407035175879) ?0 t2 e+ y& @
0.022010050251256
~) M* U$ X/ p; V: E+ e# [% ]; @ 0.022613065326633
0 B" G* S6 {: u& X& M* H 0.0232160804020104 d Y! d9 f9 h9 L# U
0.023819095477387
6 k! ~6 j! v# t4 A- b 0.024422110552764) Z, @) N$ ?) X; A
0.025025125628141
; _2 U; g' M& c 0.025628140703518( ^6 b9 E5 ~7 E M4 ]& ]
0.026231155778894- a. E. q1 ~* i% \3 `9 U" Z4 J
0.026834170854271
( a% u' M- c: v( k7 E 0.0274371859296481 c1 Q2 W) D* x S3 [& V, l
0.028040201005025
0 `! }2 G( O: n 0.0286432160804024 R7 `3 Q! j" c. K9 V( ~
0.029246231155779
! ^: V2 U7 w4 B8 ]- c8 b e" { 0.029849246231156' r7 r: a. p: x2 }
0.030452261306533
% H, J, p( M# s. T' p8 d 0.031055276381910, |3 N* |# J" i. l3 }" S
0.031658291457286
" X2 s& {! M& g; Z4 _, r9 G 0.032261306532663
2 M2 i( `9 Y ^ 0.0328643216080406 n- \. F/ O6 r) v% o
0.0334673366834178 X, r' J# Q. `7 Q0 a
0.034070351758794/ _5 ]) f: u" F
0.034673366834171' ?0 ]% b9 \( Z: z. ?& F6 `
0.035276381909548
. H6 f9 _( m6 B O! ~$ n5 l 0.0358793969849253 S6 Y/ C/ a: L1 N; M$ }( R+ T, b
0.036482412060302
& H Y# T) `( C. K7 r/ E+ ^- a3 I2 k 0.037085427135678( ~0 c6 c, o6 ], U, {( S
0.037688442211055! L+ n( T& |/ R
0.0382914572864327 `3 H9 O, S1 K$ z" T/ ]
0.0388944723618093 c/ z- F: v3 t: S5 l8 U
0.039497487437186
z9 m) V5 q# |! e, F 0.0401005025125636 u$ I9 ~4 {. h2 h/ m2 c# G
0.0407035175879400 H0 w& |+ z% N; D$ M; q+ i3 _
0.041306532663317
7 Z2 ]& d& c: t) j0 k9 }6 w" S 0.041909547738693 m+ k L6 t3 g, Z# l
0.042512562814070
& ]2 a- p Y0 N) r 0.043115577889447
" b7 S1 |, g$ |; Z 0.043718592964824* |% }; M* S. O% d+ V
0.0443216080402011 L, m \5 o8 K, m9 \( b4 a
0.044924623115578
, Q4 T8 I: f/ h2 l2 \9 W& D& @ 0.045527638190955! a9 H! I6 S$ U" E; V$ f
0.046130653266332
3 V4 V* ]3 w( S# ?0 f 0.046733668341709% _0 s2 g1 o3 B4 v$ r \, Z( q8 p* b' P
0.047336683417085
8 @' ~+ O6 q& i; j6 p3 G; ] 0.047939698492462
P, Q" W& S' d; s 0.0485427135678399 n: J+ e+ z& \6 D
0.049145728643216/ z) e @/ U* v5 c% `4 u5 G
0.049748743718593
6 O0 |/ {/ v" N# g 0.0503517587939707 a7 p- X7 `4 z! r
0.050954773869347
X' u- v7 m; K$ D# o: }+ A1 a6 C 0.051557788944724
T; s$ T3 {$ u' |- @ 0.052160804020101/ x6 ~1 b O/ D( Y* [( B
0.052763819095477
% l. c( N' o1 _ 0.053366834170854
& d- A- g0 x$ x1 O0 A% y* z$ _ 0.053969849246231 H. m4 t# L2 h( X' K5 Z" T, B: M# Y
0.054572864321608% V1 L+ h0 p1 u9 ?' J
0.055175879396985
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* ?9 }' ^: Q+ j. C. Z K/ Z5 Rans =
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0.3093938978265076 G* A# c% ^) w! u) E; P! d( g7 g
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0.426701505122099
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0.5419290152728415 x$ ]" \! i( i, C5 ]5 N
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0.6349823491828930 @( k: C6 w6 g. f# R
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0.690158586205831- ]# \% h7 R6 P2 h2 E, _
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4 {- l S) O. |7 l j* V 0.748674124097121
0 i4 J+ e& M# K& o5 M 0.760863017467603
. A1 `( p8 ~' `5 Q3 W& d3 U9 D6 ] 0.7732370280687447 Z$ ^' n% k% h3 r" v
0.785808117918194
" Z7 |( v8 U. D) \& p1 h 0.798589541746277
. a6 A: j7 A8 m- e8 W) g 0.811596057546417' s P# r# x( A
0.824844183890336, ]3 ]# s. L1 Q7 _8 N; e& B
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0.852142129100673
5 O/ ^2 Y( ]4 s9 j2 e3 f k 0.866237063671058% _. |1 y4 D) E; D+ F0 [2 g
0.880664979264975
, x5 S1 f3 q' P# E2 m' w+ q 0.895457976752096& G# V2 }8 _1 b( A
0.910653694311282- {' T* c: S1 _ [
0.926296779035770
3 ^' g& K; E0 d% } 0.942440908631660
3 B% `, }0 n# A s0 ` 0.959151639002953
" _2 w k2 N- n8 ]: [( c 0.976510534039502) w. i1 n7 J0 W) U
0.994621366531092
/ d( x/ I2 U& H. @/ d7 D7 z6 o 1.013619827890692# e, V0 D8 S9 W9 z, C& o( J) u
1.033689540653723
Z+ u' A) f; w$ A8 h/ g
; N/ @, O# N$ M# p; E* A$ G. o6 P" ~- Y5 q0 K" j v
8 P3 C3 C6 T9 e
作者: shouce 時間: 2015-11-18 22:22
pacelife 發(fā)表于 2015-10-12 18:42
. k$ C+ p) c4 m" J4 } A樓主能否運用這些數(shù)據(jù)在生成三維圖形
7 S3 H* o1 j- L-17.48757173 229.1142827 02 R* y' I& i0 ^' r4 H
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$ R% z: v( a! a- K, u-17.28495351 230.6801339 0
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; K/ t* g# }( u3 E/ T R U( u+ o9 X4 Q-16.21413872 235.3358909 0( Z' M, Q+ X s; r, s
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2 I/ Y7 V+ X+ D$ o-15.19906081 238.0923492 07 p, j2 X% S" g
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( b4 ~# |) V: {* l, ?-12.96177574 242.2328529 0/ U1 J; c6 w+ j: d7 `* w: Y" v8 i, |- o
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6 N' x( D+ B! i2 E* {6 n3 x2 T-12.64766561 242.6880972 0+ a2 U8 F/ p% ^, V' R
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5 t3 Q, u+ f3 L+ I-12.02066392 243.5301959 0 R o! h/ ?0 v+ o9 D8 M7 n" [1 Z
-11.86408148 243.7277924 0
- f& X$ B) p$ F6 L" L6 Q8 z-11.70754352 243.9205986 0: ^" B, {" N' [! \; ?
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4 \3 e' T! [1 B& J3 U: B5 Z-10.76880664 244.9853133 0
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-10.14303713 245.6164179 0# F% A8 ^- {/ N+ ?
-9.986565496 245.7652821 05 L) ]% {3 ?( r# s
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6 |0 L3 c" X' g+ w3 A-9.673568737 246.0528933 00 P& Y8 R: I5 c3 x! t& q
-9.517039547 246.1917868 00 R9 {6 o9 _3 x" G) a2 M' W" R
-9.360487512 246.3274969 0( r" l/ ?& h6 x* {' W
-9.203911175 246.4600875 0
5 k8 ^3 z6 e- t3 |; L-9.047309269 246.5896193 06 r# `7 \" R% S# Q. P$ j6 J
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: V- r6 S+ v' s( o ~2 F1 a$ p-8.577340022 246.9604227 0
7 {! c1 @7 j/ E" p$ n! i1 I-8.42062646 247.0782666 0
" {4 z& T ]3 y& Y- V( A- {; I, y+ j2 p-8.263883333 247.1933123 0 d3 f2 f& h/ V% `
-8.107110216 247.3056047 0 t3 D9 K4 N* j- m8 h& ]; e
-7.950306785 247.4151866 08 m! x% w% K" I% G
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1 L" M5 a4 x) l# }% k) [) p9 s-7.636608145 247.6263796 07 c l$ y5 T3 T1 c. A
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7 n2 ]/ u9 T: J% Y-7.32278654 247.8271956 0
1 h1 T$ V6 `6 h# p; o* ?0 q4 O-7.16582967 247.9237998 0% M; M; b; a8 l% L
-7.008842241 248.0179119 07 m6 f, j3 m& u2 o
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1 c$ K, N) l. t) |) `+ D$ e-6.537698696 248.2855975 04 M8 Y8 n$ Z! s( n
-6.380591367 248.3700368 0
( \) W; K. N. D( x4 R! L! t$ x-6.223454876 248.4521256 0
: K3 l9 P' z* q6 z7 C) Q-6.066289626 248.5318886 08 }( G V- M8 U" l$ C$ Y4 ~! [" i
-5.909096057 248.6093495 0& T2 c& H3 |3 L, H
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& k2 M. _* b1 E ]8 R-5.437350282 248.828141 0
& j8 S1 K3 P/ V( R0 i-5.280048424 248.8966103 00 V; M0 @1 _& r% {$ S/ Q
-5.122720872 248.9628812 0 Y/ U; O/ |: `5 h& } ]& N* g7 ?
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/ e7 _. _" V- g( ~4 |. G-4.807991099 249.0888994 0
8 F$ d% \8 ]' F$ ?* Z5 x5 ~-4.650590133 249.1486806 0
( O' p7 C% P3 i: b5 e-4.493165978 249.2063311 0
2 {# ]8 |4 n7 u/ q: x% l-4.335719306 249.2618659 05 J) @. T$ A+ B6 s4 @: m9 o. u
-4.178250801 249.3152993 03 Z- m3 W/ N. x ]! w
-4.020761161 249.3666451 0$ T8 W5 |8 ?% s& O$ o
-3.863251097 249.4159162 0# e+ v. y5 S+ j1 R2 o$ A7 i
-3.705721333 249.4631249 0
; \& D p& E/ k. f! J, E-3.548172602 249.508283 0* V! _# U3 j: l0 W9 f% ]
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% f0 C* y1 y# P-3.233021227 249.5924912 0
3 g" H0 G* k. L! J( X# n. l+ O0 ^-3.075420099 249.6315619 0% @, p- z2 O% L
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-2.760170812 249.7036834 0
( r7 q0 }. M. r! T-2.602524216 249.7367515 00 @+ u/ b' t/ w$ f2 {8 B# Q; x9 e
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! u, V5 o: G2 b6 G1 b-2.287191071 249.7969412 0
( y+ v. H! I* m4 V-2.129506122 249.824077 0* u: D9 T% L$ j7 B5 Y# M, \" S9 B
-1.971809995 249.8492486 09 |- j6 ~- R8 {; w6 E3 L. E& H
-1.814103503 249.8724619 0
( @& L. p4 g# D1 `$ S" k% P-1.65638746 249.8937222 0
4 N& y, h2 o5 W7 ]: u-1.498662686 249.9130344 0
( G% A) k$ ~9 L- | ~1 M# p+ s7 T" g-1.340930002 249.9304029 0
3 v: Y% E2 S' Y-1.183190233 249.9458317 0$ z' u8 |5 }/ D# b( `9 o' Z# ]; K
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8 z/ A' ~. h* e3 k-0.867692756 249.9708837 0% z& I, b3 W; V8 c7 D6 L! V
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1 f4 `1 @9 L# O, K$ h-0.394414162 249.9939869 0, g2 _: [% Y! G1 ^; ]2 A
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4 d7 K3 O1 Y4 t/ v& p-0.078883251 249.9997595 0
$ w1 I+ S6 m- x D( S" [0.078883251 249.9997595 0
& d' |+ g# b; [! |- q0.236649334 249.9978355 0; o' C, B5 P0 v f. N @; a7 }1 V
0.394414162 249.9939869 05 |% i$ _- B% c% ~$ F/ l4 n% B/ B, n+ f
0.552176899 249.9882131 02 n. H& p7 b1 a5 F, h; S- ?# t
0.709936708 249.9805126 0
( S5 v( ]4 z( `, q0.867692756 249.9708837 0
. ]7 N" T: D' b. i8 O: k# n9 R, y1.025444208 249.9593243 0
2 V# v/ M& m/ P- _1.183190233 249.9458317 0/ i; y7 |# Z1 q' J( {: j
1.340930002 249.9304029 09 v5 Y3 G8 A; W& y" _; v4 j
1.498662686 249.9130344 0
" g$ a) i6 i& @1 ^& p! |4 R1.65638746 249.8937222 05 f5 ` D; w( W& _5 s
1.814103503 249.8724619 0/ ?; j+ M3 g5 ^) e( d
1.971809995 249.8492486 0
3 {; C# w- ^! @* R2.129506122 249.824077 09 ~: g" Z1 Q& N0 {0 g) p
2.287191071 249.7969412 0
! _7 _; a! Q/ H4 q2.444864036 249.767835 0/ L p! n) d3 j8 o/ y, F* [: s+ J Q
2.602524216 249.7367515 0
9 I$ F6 f" z' s5 |5 ?2.760170812 249.7036834 02 }/ \+ K0 H! p) G! d$ }
2.917803035 249.668623 0
! g5 D6 j, A9 S& `: O( n3.075420099 249.6315619 0, L6 y8 }, P; [) ~
3.233021227 249.5924912 0
$ c. l' T0 k4 q. \/ p# p3.390605649 249.5514016 0
% ^: f/ u1 f. ?% f: G* q! o# n7 R" f: D3.548172602 249.508283 0
+ s/ k1 D( p* K- H T3.705721333 249.4631249 0. o5 Y0 z7 ?% U- n8 }8 D# X9 U
3.863251097 249.4159162 0
/ Z. r% N* Y4 d+ H3 C4.020761161 249.3666451 0
8 B9 i0 x+ |; t1 H' E) N1 O4.178250801 249.3152993 0
# ~6 D/ G$ I8 }7 b4 C4.335719306 249.2618659 0
' h* X# C0 h5 c6 f+ y/ N4.493165978 249.2063311 03 R) z* `, b7 p h+ g
4.650590133 249.1486806 06 [% q4 ?5 V+ L
4.807991099 249.0888994 0
% X& w- j4 p, J2 ?4.965368224 249.0269718 0/ J# M* `( l$ t
5.122720872 248.9628812 0! P, A$ X |8 Y% B( N) ?# y* ~
5.280048424 248.8966103 0# {; M6 E$ \' B
5.437350282 248.828141 0
: ?' L9 G. `1 p, M5.594625871 248.7574545 06 Y0 O" w+ Y1 k( |$ i: O
5.751874639 248.6845309 0
& e& U/ j, o! {5 _5.909096057 248.6093495 03 g) o; G, _5 t* [% ?
6.066289626 248.5318886 0
5 F( l9 q- g4 w* I* l! f; `- R' e6.223454876 248.4521256 00 j9 W- I7 {- L9 B& u
6.380591367 248.3700368 0+ z" m A7 J* }4 ]# w/ C
6.537698696 248.2855975 0
6 p/ P& M& F6 S3 D9 q- i6.694776495 248.1987818 0+ N( O z) G4 H6 _& @
6.851824438 248.1095627 0! q$ b6 o; H, s4 d
7.008842241 248.0179119 01 v3 y) i3 h }
7.16582967 247.9237998 0
/ ~" k1 ` j( v. a4 O! u& N0 ?0 `7.32278654 247.8271956 0/ Q5 n% k" b0 B- c
7.479712721 247.7280668 0
6 H- Z, R7 o1 T+ y- [7.636608145 247.6263796 0: W/ y! I2 G: n f4 d6 X0 B8 T# A
7.793472811 247.5220986 0
( H. I: F& F( I, W# q+ h# e7.950306785 247.4151866 0
8 m. l% G% W; g8.107110216 247.3056047 0' o) z. b! m3 r8 N
8.263883333 247.1933123 0* j1 M. R! a3 |2 g/ N4 d
8.42062646 247.0782666 02 b' t- r) J" |. ]% H4 U! F" Q' m2 d
8.577340022 246.9604227 0# Z% y- A, d/ p3 {
8.734024552 246.8397336 04 u6 y9 ^. e! ]- ^2 ?
8.890680706 246.7161497 04 z* q/ _) }" S$ C4 M, G
9.047309269 246.5896193 0$ Z; n; { l( D2 a4 R
9.203911175 246.4600875 0) k5 Q3 @2 ~' H9 s3 X g6 B& V
9.360487512 246.3274969 01 H* s9 H* X0 d# ]
9.517039547 246.1917868 0
$ e/ K' X( l v7 m$ {( N" P( [9.673568737 246.0528933 0
- y: h! P) o: g3 D* |7 O7 P* J9.830076752 245.9107488 04 n9 g$ m i: ?3 e
9.986565496 245.7652821 0! V8 p9 j: F1 i/ c& ^& q/ s
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10.61237554 245.1486165 06 ]" {" B- M, t- b5 M& ]6 H
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2 U. V, m, w2 B! w10.92523646 244.818161 0
9 U3 I0 S( k. `6 r11.08166946 244.6470513 0
# M% x6 I6 i' n6 W6 z* ?1 O( L11.23811067 244.4718685 03 M' e$ g9 o+ }; ]
11.39456571 244.2924888 0/ J% u. k3 Q: L. |$ d% `
11.55104095 244.1087796 0+ b! O& [5 }2 H7 \
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3 p% C" D/ o( f' o* C. P# M12.02066392 243.5301959 01 y+ z: w Y$ Z- m( d" [
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. k+ j7 m8 q% k8 G% m; r! W: V12.33400471 243.1199023 0) k( b; V6 p) ?! }) N6 e7 a
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4 n% N2 k9 o+ g, B% r- Y6 ^9 }12.64766561 242.6880972 0/ j1 C! b6 L6 F5 D, x9 Q
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13.11905015 241.9957329 0; v1 o% f% m3 r* j2 w
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13.43416766 241.5008112 00 ?, o: R# } u" f
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13.75026839 240.9755931 0" |- V8 d; q- l( q% I) S0 L& f
13.90879414 240.7004064 0
3 S& _3 I) g9 Q6 i14.06770943 240.4160523 0
% m; N1 R( o J# R, |14.22708188 240.1218359 0( I7 T4 Y/ D1 _8 Q* ^
14.38699287 239.8169526 01 K# {+ f# n+ r5 X* M' p+ y& ]$ L3 }
14.54754137 239.500461 01 `% Z+ j' e M* y4 c+ _4 U$ C
14.70884907 239.1712469 0( |' z1 f; M+ k
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4 M z; q& Q& X( p15.03438904 238.4690147 0! r; p9 p+ b8 y% w2 I, C
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$ D- t E% a. O15.36540928 237.6954146 0
3 d7 u' W0 v5 V! D8 A- o15.53387651 237.2748695 0
1 W9 v+ |, q; a2 B+ h5 H& o9 z15.70508222 236.8262052 0
: b2 k/ X; H' h+ r1 T5 \2 ?15.96864056 236.0872311 0
9 H0 r2 E$ O" q$ K3 @, H16.21413872 235.3358909 0; g2 E: V- M4 _. A& r+ p" T" E7 D- Q
16.44066252 234.5753164 0
7 W& g( Z7 P% S1 Y16.64807528 233.8066972 09 p9 U% m- G' p4 |/ D+ q
16.83627004 233.0313194 0
! g9 }1 z9 \. k2 Q ^. t5 r3 K17.00517067 232.2506108 0. P6 e( w' g! b* J5 y6 j" {' P
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4 O$ M/ e3 X J- P: \5 M" z2 Y5 t17.28495351 230.6801339 0
1 b' `% d/ X3 Q; C17.39586705 229.8949441 07 [- v& j+ |% C' E* F( K
17.48757173 229.1142827 0+ P8 S, W/ q# M! F1 S! G/ p% J
. Y# H0 H) H6 R' C- V
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