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标题: 螺杆转子刀具设计 数学模型 [打印本页]
作者: shouce 时间: 2015-5-26 19:44
标题: 螺杆转子刀具设计 数学模型
本帖最后由 shouce 于 2015-5-26 19:49 编辑
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螺杆转子刀具设计
设中心距 100mm 阴阳转子齿数比为6：4 型线为原始单边对称型线 齿高半径为0.25*100=25mm 如下图1所示
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阴转子型线方程为： x=60-25*cos(t)
y=25*sin(t) 形状如图2
" B) |. F3 o2 C& Y) zt的范围【-1.361，1.361】弧度表示
4 ^, L( v# S& }) x/ ^6 X螺旋角为45度 螺杆旋向为左旋 阴转子的扭转角为5.235弧度 则阴转子的导程：T=2*pi*12/10*100*tan45=376.991
P=T/(2*pi)=59.9999
要求转子刀具 先要解下面的方程 如图3
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式中AC为砂轮直径 设为500mm Ψ是螺旋角为45度
现需要求150对 （t,τ) 意思是已知一个t 求一个τ 使得上面的方程成立。 又t的范围为【-1.361，1.361】 在这个区间等间距取150个t 则对应有150个τ值 τ 范围为【0， 5.235】 整理后方程为：
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
解出这个方程后 将（t,τ)代入转子螺旋齿面方程 得到齿面的坐标点 再转换到刀具坐标系中 得到刀具回转面坐标 最后转换为刀具的形状。
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作者: shouce 时间: 2015-5-26 20:04
等下次有时间 我来解这个方程5 ?. [- W. b6 N5 N7 n
作者: seekfor 时间: 2015-5-26 20:27
让我想起大学毕业设计是双螺杆压缩机齿形加工刀具设计了，端面方程，齿面方程，接触方程，中心距安装角，各种算；可惜matlab没学好，求解程序是老师带的研究生帮忙编制的。这东西真的是纯粹数学计算。现在忘光了。
作者: shouce 时间: 2015-5-26 22:09
seekfor 发表于 2015-5-26 20:27 
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让我想起大学毕业设计是双螺杆压缩机齿形加工刀具设计了，端面方程，齿面方程，接触方程，中心距安装角，各 ...
你那时做的齿形 是哪种齿形 是第几代的型线
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作者: shouce 时间: 2015-8-12 21:56
shouce 发表于 2015-5-26 20:04
$ L, w+ _$ N' t" R& _' D等下次有时间 我来解这个方程
2 D7 y" I. G8 A( e尽信书 不如无书 自己动手计算 才发现教材的错误
作者: shouce 时间: 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]);) Q2 `$ E+ |$ s, S2 N
axis square8 z; \$ M5 s1 {' L- K, f
+ {( c( Q8 U' H, U- c$ Y6 R: S; C$ L0 e& ~$ V6 ^8 B
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作者: shouce 时间: 2015-10-6 21:14
本帖最后由 shouce 于 2015-10-6 21:16 编辑
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1 t& n9 @1 x: f9 uezplot('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]);4 z0 e8 I# d$ J0 G8 T- M
axis square& L/ p' |+ ~- K* }2 O4 e! C
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# b( l" m, Q+ |: ?- `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);
2 M8 Q( J1 F& W, |! p, U( PZ = @(t) fzero(C(t),-1.361);
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作者: 木子12 时间: 2015-10-12 13:55
本科课程设计，计算一大堆，但大多都是用书上的公式
作者: pacelife 时间: 2015-10-12 18:42
楼主能否运用这些数据在生成三维图形
作者: 小杨123589 时间: 2015-10-15 19:47
螺杆马达的线型和这个一样么
作者: shouce 时间: 2015-11-17 22:57
function solve_nonl_single1
9 A! Z8 m% n9 Z6 n. i7 a0 X( {clear all;clc
' X7 V4 `) j8 p0 Q! Q3 hformat long! `- P5 Y2 r6 e _
global a
$ s- ^. D! m& j5 d Na_span=linspace(-0.06,0.06,200);
6 d1 K% n* A1 b2 ]; Pn=length(a_span);' K$ E, @5 f) Y, @
x0=1e-9;
N" Z) n2 t, V1 B9 L6 b& d3 foptions=optimset('Algorithm','trust-region-dogleg','TolFun',1e-12,'TolX',1e-12);" H6 t t# s. _- B* L* d
for i=1:n) f" n ` e- [+ d2 M
a=a_span(i);: [' X* U L# j9 Z+ L* P1 D1 _9 f& Y/ w
x(i)=fsolve(@nonl,x0,options);
6 [; h7 F, H9 \8 r+ L) H/ ] y(i)=nonl(x(i));* m, L, d }$ r' i2 k0 M+ r$ N! H( t
end
R. m5 U5 \ F$ B$ D6 da_span', x',y'
, _; r$ N, S/ {& R2 Z5 N# I: Gfunction f=nonl(x)% k" P" t4 M5 T" Y* F) `/ J" ]
global a
4 W1 N& O9 x- A- H+ y: B# Yf=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));/ j+ x; K1 c' O
4 n; y& i9 c$ N6 v; [运行结果 ans =- k5 }$ q* S, L" a2 W! Q& V; S
-0.060000000000000
0 f7 m: _- T4 I -0.059396984924623' n: A3 B7 {" q9 C+ T
-0.058793969849246
& Z: i6 D, t+ O. N* t -0.058190954773869& z D0 z9 e3 X/ U+ z7 n
-0.057587939698492, q1 w0 c; v0 K; @# L
-0.056984924623116
8 u6 @# I( R! P1 Y+ j$ e4 k7 E2 V -0.0563819095477394 g5 j/ G; f1 C* _
-0.0557788944723627 p0 L" ?1 b6 p0 q+ h! ?
-0.055175879396985, {. {& l D" ~( e
-0.054572864321608" s. O' m6 s! o
-0.053969849246231
" P& K0 a2 H# O+ Z -0.053366834170854& |5 Y- y; S+ B/ r" j {) ^* F3 q
-0.052763819095477
+ j8 V# S/ Y. t2 `1 P& E -0.052160804020100
: w6 e j# [3 D2 i' W -0.051557788944724
4 o7 ]! c2 |8 F: j) t# n$ T -0.050954773869347
- w" c( Q/ } D8 s B g+ |1 {% x7 G -0.0503517587939708 }8 l6 S9 X9 n' b
-0.049748743718593
; d! c" k9 Q; s5 q( g -0.049145728643216/ e4 @9 e, I3 F& p7 R5 b0 n+ |$ T4 S3 V
-0.048542713567839
0 O$ b1 ?9 x$ x -0.047939698492462* ]/ q2 Z( p' Y
-0.0473366834170858 E- ]# Q4 j$ Q
-0.046733668341709# D% Q4 c9 K+ d
-0.046130653266332
9 Z; a( B1 }# P, F -0.045527638190955+ V, z. a3 n. b) A$ I
-0.044924623115578! M- T% n) f: P6 C. Z
-0.044321608040201
8 A; R$ T( H' o( Q; _ -0.0437185929648249 W9 `9 n; G. ]4 e8 D. u% o/ r
-0.043115577889447
: }5 w% K! o% {8 N4 l j+ Z& Y -0.042512562814070: ?! ~) b$ r. P6 a' N( E4 w
-0.041909547738693
! e* D# t7 ?6 I -0.041306532663317
* W' H) L3 {( k6 T1 f- y -0.040703517587940
3 N$ P% ]1 I7 H! N: x -0.040100502512563
5 m4 L" I2 F2 H) ~0 w, a$ D4 k -0.039497487437186$ B/ o% l4 g0 f" f( B0 v
-0.038894472361809 a2 t* Z6 t) @
-0.038291457286432
2 W) U: I8 H* h& g2 \ -0.037688442211055
1 D( `# A9 w8 m/ [. Y -0.037085427135678
2 l8 N# R9 }2 L0 c -0.036482412060302
# E' g! w3 V8 y4 k -0.035879396984925
8 N4 X" }" P- y2 I( l -0.035276381909548
8 {0 R' d# U" i3 f2 Z -0.034673366834171 ]9 ]# a/ J, ?7 E: T
-0.034070351758794
/ _- o/ e- _: z' K -0.033467336683417
& |( j V0 h* e7 u2 V# | -0.0328643216080409 l1 k8 \3 e5 a* f; \" M0 p6 n
-0.032261306532663! O; @; S) v% {* l% @9 `& O. [
-0.0316582914572860 m7 x6 G. \. E( Q( K# q
-0.031055276381910- i- q' j" K8 O6 W$ Y& M( R5 _
-0.030452261306533$ @. P% J# E' h) \7 l
-0.029849246231156
# h0 i' n" E) Z -0.029246231155779
. |5 n: q+ l- _# n9 ^3 s -0.028643216080402
1 k v. c2 d9 {6 `) H( r7 S -0.028040201005025
8 A" z# j8 m, h% d9 F& d! o' i: C9 v -0.027437185929648
$ R! q3 H0 A3 m/ r -0.026834170854271$ X$ X B0 p) X0 @5 z
-0.026231155778894) f/ |1 p9 N: _0 t
-0.025628140703518- s+ W* m; v4 I9 l, i- N$ y
-0.025025125628141+ v4 y' G ~; v$ ], M' W$ e- s
-0.024422110552764
! I0 V8 [' @9 n -0.023819095477387
7 o5 O) N$ I. k -0.023216080402010
" I* w. e g# L) B8 R$ ?# e -0.022613065326633$ ^. ]+ t- ^3 C! U
-0.022010050251256
P! H0 {0 E* l, p3 n -0.021407035175879
+ A S, v5 m4 N. h6 C+ R -0.020804020100503+ A- _% k. C, G1 n. S5 U
-0.020201005025126
. q# v- h$ N8 p, m& D: ? -0.019597989949749
9 n, ~& Y( W, M9 ~4 V" q -0.018994974874372, ^8 G5 X) m) a4 l3 ~1 Z
-0.018391959798995" W L/ Y Q/ u1 P
-0.017788944723618
2 C& ] D# S1 | -0.017185929648241
; b0 B5 V% Z/ l6 n" J/ A/ j+ Q V -0.016582914572864: t# N% F) p) D
-0.015979899497487
8 o$ _5 I- \; w" @6 s -0.015376884422111
6 i$ W1 b p% {2 r8 O$ ?6 b- X -0.014773869346734
( O" X" k* @# Y3 t1 H# o -0.0141708542713573 n& {( m* m( x9 h7 Y; m% \
-0.0135678391959809 p, E* e# E( c% E' L1 f3 I- C3 v
-0.012964824120603% f, i2 q3 X- D# J, k7 W8 Y
-0.012361809045226
5 A5 I' k0 z5 {% A -0.011758793969849
- ] v, B0 s3 V4 D- ~# e -0.0111557788944723 |) F( X# d2 [& C6 Q
-0.010552763819095
2 C5 `" ~, h1 f9 l U% Z" ^" E -0.009949748743719
: X& D1 m [1 W6 h -0.009346733668342( B1 ^; c% g1 _( d
-0.008743718592965
0 c- ^' t8 ?/ K* V! T -0.008140703517588
! N0 \ |! W4 @ P6 ?( ` -0.007537688442211
, b) a2 S6 j0 k' h0 B -0.006934673366834
' D5 Y& Y& I7 V! [' | -0.0063316582914576 K* C: b4 v9 a8 Z
-0.005728643216080: p9 u* d7 q1 [7 k/ `& c
-0.005125628140704
1 V+ `7 b4 ?4 U; e* g+ t& n -0.004522613065327
4 x6 ]( z+ M# O# E1 e7 U* m( V -0.0039195979899502 x# {- U6 F% b7 P, I+ w& G ?
-0.003316582914573
1 F2 C0 @3 q5 e) c; j" I -0.002713567839196
7 I. I5 V8 @4 @: Q- Z) A; p -0.002110552763819
5 S; R4 o% B3 A7 V) r7 i& Z -0.001507537688442
- o& H+ N- t7 @# L" N -0.0009045226130654 H0 ~8 g0 F+ B
-0.000301507537688& _/ B) x9 N$ V- Q& p$ }; E
0.000301507537688
; e- d4 |# Y: A. M- y 0.000904522613065& R |+ |- u+ X# g- X' a& A) A7 U& k
0.001507537688442
8 l. Y# [7 T/ X7 |3 h2 Q 0.002110552763819
1 D" g$ a& ~( G" |. t- G. |7 c 0.002713567839196
/ J; I6 ?. J" U7 [ 0.003316582914573. h3 z0 `: g' `9 G1 ~
0.003919597989950
/ Y; h7 J& q3 {$ { 0.004522613065327
( w2 s5 g8 H9 z; L 0.005125628140704
% ?8 {4 z6 x! I2 Y' w! y2 y 0.005728643216080
8 }) y( L" h! u3 k# `( L8 k' b- O 0.006331658291457
) A+ r4 [+ E) R0 ~2 { 0.006934673366834
. u1 h7 B# |- k/ o! | 0.007537688442211* ?9 x" h2 o- C3 u
0.0081407035175883 H" x! B) j6 l' Z
0.008743718592965
- ^+ Q" ?9 ~2 n. o 0.009346733668342$ Y3 Y. b, N1 B' l, P- o0 [
0.009949748743719
8 ]+ P' L; h& o# ^( |" O 0.0105527638190950 X8 }5 k9 l- P7 F, a ^1 |+ Y: s
0.0111557788944728 k8 F; e! V2 V3 M7 ]% w2 O
0.011758793969849
% r: }9 ^! v- D `0 w- } 0.012361809045226
- T0 k/ m# Z& n 0.012964824120603
+ ~+ S$ p' z* {* l: G/ l% T6 {9 E: r/ R7 W 0.013567839195980
& J- |6 `. d- a5 a, E 0.014170854271357
( d: \, i; l% p, x$ X% X; T$ s 0.014773869346734' a, G/ T& P X: E
0.015376884422111
& p$ a& r( c5 |, |% b6 d. P 0.015979899497487 l* Z! u1 M5 _8 _' d7 h$ s4 ]( J
0.016582914572864" Q* e+ `7 m: R
0.017185929648241
7 z% T" Z% K+ l2 m" \. t2 l 0.0177889447236186 U/ ~) r: a T$ K
0.018391959798995
' f% G% ^, c# ^- u 0.018994974874372
- s' v _) ]1 @" I4 u1 s! r0 z9 \8 O 0.019597989949749
) \4 c7 H' ~4 ?: w7 W h( W 0.020201005025126% o$ R1 U9 u& i8 C$ [( m$ W
0.0208040201005034 R/ h6 L! Z G: s( t- ?
0.021407035175879
" Z! Z, l7 f: G) H K: G 0.022010050251256
. m; W" n( s, M. }6 P1 t 0.022613065326633
* E0 ^/ N" H' V& i 0.023216080402010
, y. x. `0 c3 ^6 }$ {% B) `; B 0.023819095477387
. M# m) P4 G# @/ ?8 l& o) A 0.024422110552764
1 [1 ]& ]! U7 d" n$ p 0.0250251256281413 g% v' }# a( I: Y; _3 L d
0.025628140703518
I/ @, j p! b: e- r- Z5 C+ Z3 c5 t 0.026231155778894
1 X# W+ k% H" ? Q& [9 P7 E 0.0268341708542717 {" {% H, l+ J$ q6 n0 w, o$ G
0.027437185929648
& m5 S4 ~( b) _, [, ~ X( U 0.028040201005025 M6 w* I& p" [. d& k1 B
0.028643216080402" _! _+ v2 i( N7 d T. z/ `
0.029246231155779
, J2 O+ Z! p7 O- u5 Y2 ^/ C 0.029849246231156
* o$ x A l; f" \ 0.030452261306533
6 g7 J$ @* }3 Y$ x2 {& m& T; v 0.0310552763819103 C& e# Q5 y- g6 o: _7 b& b
0.031658291457286
2 o# X; u0 U! p. V- L/ H( ^( h3 L 0.032261306532663
( z$ B2 u; g# m 0.032864321608040
* V+ W( x- Z8 y 0.033467336683417
% h. W" ^# h: i% I' {( r/ S% t/ X/ G 0.0340703517587943 l, Q' ?2 E& |: q9 \% t! ]
0.0346733668341710 m+ W$ O. s8 y; Z) d% ^
0.0352763819095481 P% G. O; S2 z; L; b, _* J: G
0.035879396984925
4 B0 g% U- M5 _# Y4 r 0.036482412060302
6 \) v1 C' V9 V# ]! y. g 0.037085427135678
& ~ Q5 R6 \. \) t' D 0.037688442211055
& U, B6 Z$ D' g3 T! _ 0.038291457286432
( u( L: I, r$ E! Q 0.038894472361809
* W! l9 A5 c/ j4 q 0.039497487437186% \; b |5 u1 A1 T2 l. \9 C
0.040100502512563
9 Y* v: W/ H V( G4 a 0.040703517587940' V$ }' c: u; s; s2 a9 _1 Y
0.041306532663317
k; [$ j* u2 d" \- ~; x9 T 0.041909547738693
" m: q/ M3 x5 P1 V1 q 0.0425125628140709 }. J9 V2 _' x' f. |4 h3 ]
0.043115577889447" c9 L8 J9 d5 t( D5 P
0.0437185929648245 Q- h& @$ P% E; l+ J; r. A
0.0443216080402019 k& M5 C. u2 F; c- }4 N1 t
0.044924623115578
4 q0 G( P+ k( U3 P {) `* S 0.045527638190955
3 g, F, z l" { 0.046130653266332/ [2 Q1 G* V( o1 @$ X7 y/ r2 d4 w
0.046733668341709
7 I, x3 w+ s! @, a- r& l 0.047336683417085, @1 c' n3 ~, a
0.047939698492462
1 u1 m# |" L" q! w! R$ ^- v8 K- f% X 0.048542713567839
. N' _1 x+ l- l: t. y 0.049145728643216 l; w, o& Q* f8 ?' d% l
0.049748743718593' {5 Q/ K3 V9 C! N) k' R; z
0.050351758793970
' d0 X# n V+ G 0.050954773869347# i: z/ T2 h5 ~
0.051557788944724& l, ]* r5 W8 I9 b! N: p
0.0521608040201016 k& i9 Z: |: V8 d& ^+ l
0.052763819095477
4 o3 ]' T1 S3 V6 J 0.053366834170854' |8 j" O0 A" Y
0.0539698492462313 Y5 R; F% O7 d1 \+ R [; K
0.054572864321608
" d; h7 X) g- M( F# f9 M6 g' d 0.055175879396985
( w' j3 `, V( N) d- r9 t 0.055778894472362
# e; q, u- G- W# r0 G 0.056381909547739; K6 @! c5 M8 x9 L0 R* E9 s+ G
0.056984924623116$ B# H* d; u7 M3 `% Q
0.0575879396984922 _1 z! J+ z( N* n: [8 @
0.058190954773869 {4 E: |' t) G4 C
0.058793969849246
8 Y" Z/ |+ w4 a' x5 | 0.0593969849246237 Z3 X5 F( V0 y/ \: ]0 P6 S
0.060000000000000+ M0 f# J9 W% Y8 Y
3 E( c5 R7 |: V" v) K- } B
S {0 X1 w' F9 x$ u& J! o, Fans =' E. j' ?! l0 b3 e$ \4 } B
3 W8 i W* {6 ?" z; k9 }! c6 C -1.033689540653716 T. i! c/ v8 D6 h% f3 z4 o
-1.013619827890691
. i: C3 t" s* [2 B7 v7 B8 x5 e; { -0.994621366531083
; z I$ o4 o4 Z; O; z -0.976510534039504+ f a2 |- L/ i" c
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+ n( \( L) G! y3 y 0.713114466033284$ b) l5 W: v' \5 Y! q& N
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2 N7 w# M m' F# h9 x: C 1.033689540653723# P+ N; {, t3 D) T4 L
' K, n4 f l, g$ k# E
3 P1 c$ |! N6 g# a, B' T
8 o& U6 Y& H6 f1 B
作者: shouce 时间: 2015-11-18 22:22
pacelife 发表于 2015-10-12 18:42
: Q8 ]1 C8 P$ ^楼主能否运用这些数据在生成三维图形
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, b/ ]) h* K5 S; w _-6.223454876 248.4521256 03 ]9 L# c. ^. [7 q- g; [
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- o ?/ ^1 `& S* T% B# O" U% X h-2.287191071 249.7969412 0
~4 Z, v9 D2 Y-2.129506122 249.824077 09 ?- q% u) Q {, P5 x H5 M
-1.971809995 249.8492486 0
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2.760170812 249.7036834 0
% v3 Z9 m" D: m$ T/ T- Q9 f2 e2.917803035 249.668623 00 ?- [1 v1 K4 M& W
3.075420099 249.6315619 0
6 ~5 b# ~+ G8 [8 G3.233021227 249.5924912 0
; |4 _! X4 F; M( ?3.390605649 249.5514016 0
8 d4 C. S; I5 A0 Q+ M3.548172602 249.508283 06 Z4 ]" }: R5 T
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8 m) i( k7 Z; A! S+ E3.863251097 249.4159162 0
6 K+ m. q/ b. f! E S1 a' e- E4.020761161 249.3666451 0) @$ T( q" b$ _, w# n; w
4.178250801 249.3152993 0
0 v' B }3 I# M+ l6 p( r4 H4.335719306 249.2618659 0
2 ^* W1 g4 @* q4.493165978 249.2063311 0! j7 N. I& K. c6 u( \
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4.807991099 249.0888994 0
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' ]7 h* L5 H* c' t) e5.594625871 248.7574545 0* t) d; \: {1 \$ P* q
5.751874639 248.6845309 0
+ `/ Z- e1 l% x5.909096057 248.6093495 0
+ Z) e5 ?& ` h7 R$ J/ e0 i% T' G0 ^6.066289626 248.5318886 03 W6 S2 r, y! U4 A
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6.380591367 248.3700368 0
0 Z) f3 _8 z. h$ T% j/ q6.537698696 248.2855975 0
. l& B* K! k. q6 b6.694776495 248.1987818 0
) b) @! ~9 U, ^- Q0 h6.851824438 248.1095627 0
/ b& f6 h/ z5 |" T- R7.008842241 248.0179119 0
6 R% v1 w# ?4 @; O7.16582967 247.9237998 0
]- n0 @8 o( @4 D+ K. v7.32278654 247.8271956 0
1 S% ~$ n5 @- l- w$ F( u4 X7.479712721 247.7280668 01 k, d8 h& R; S, t$ s
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2 T8 ^5 }) j1 X! m8.107110216 247.3056047 02 @% d: i+ b: p) m+ z
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8.890680706 246.7161497 0
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9.830076752 245.9107488 0
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10.14303713 245.6164179 01 Z. y8 q( E: G0 w1 C1 H, x$ Z+ m
10.29949411 245.4640761 0
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11.08166946 244.6470513 0
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11.70754352 243.9205986 0
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12.80465505 242.4635397 0
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13.11905015 241.9957329 0
0 S0 S2 y0 P% N4 b7 t13.27650414 241.7518437 05 l: G+ [) |# K- M& t# E
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14.06770943 240.4160523 0
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14.38699287 239.8169526 0
9 @4 q I- E' K3 T0 z: e2 v. _7 H14.54754137 239.500461 0
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15.70508222 236.8262052 0
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6 u+ z) g' N1 ?17.48757173 229.1142827 06 \' k9 U6 U+ |0 y: q. g$ ]+ `1 R* m4 v
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