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qiqilin 发表于 2007-4-6 10:19

pro/e 各种曲线方程集合(全)

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1.碟形弹簧
3Uix'@8n7mJ#nD&g/V 圓柱坐标
J Vy~%|+ye\ 方程：r = 5
'}"DgHx*~}g theta = t*3600 .}6b w+nF'}D"{
z =(sin(3.5*theta-90))+24*t:j\t3xT1?:?Xk|
x.i+[/N;a
[img]http://www.ugproe.com/upload/forum/200703/2007030613394524.jpg[/img])a_)o]3JP"D
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图1sr#koq.OH

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q%M;b/}Q:} h,O!H
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2.葉形线.)a7[O7[4|?!R
笛卡儿坐標标
d!QS9yM*P7A 方程：a=10 sOe3kYv
x=3*a*t/(1+(t^3)) .`zx~:_mZc
y=3*a*(t^2)/(1+(t^3))
q u]\q 0f*zN8a0Pq#B`
[img]http://www.ugproe.com/upload/forum/200703/20070306133543q7.jpg[/img]图2
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CRH,]1_*I!M*D $e]8dw O{]

H"f2p%dgY}S 3.螺旋线(Helical curve)+tG(n/V!?vK%r
圆柱坐标（cylindrical）
r9K%M6`'RH 方程： r=t -X:YI%q-v.lxHN
theta=10+t*(20*360) 0EEa;X{e
z=t*35`S i }7K
-W5tI(G KN_6QS
[img]http://www.ugproe.com/upload/forum/200703/20070306134012qb.jpg[/img]
;zV6L:Fexqq ?5L k[#oZT9L!qKY
图3
~Ym!FD o[Ti;{Z? y}R`1WS

/I-FrXc 4.蝴蝶曲线 Ylu%E,Fx`
球坐标 b AfCk5['\ zmF
方程：rho = 8 * t
5TI `2A4mos8C theta = 360 * t * 4 j1w"O*Bx1jO
phi = -360 * t * 8LOr5Y2dRO?
[img]http://www.ugproe.com/upload/forum/200703/20070306133635ev.jpg[/img]rna5s_#S
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图4
5jq-Mjf?#Ewq %|-h\Ej"A4x

G3]$J!v+h:e/I 5.渐开线+Ds J$|!G
采用笛卡尔坐标系
{vVH _ 方程：r=1
QM4Bjyo
U ang=360*t 9U9U1Qi5R
s=2*pi*r*t vM(v ]2| S8D3T
x0=s*cos(ang) ,Ybp_2Q&x
y0=s*sin(ang) 3w}D"go1r
x=x0+s*sin(ang) }Y5z$}B$e4j aY
y=y0-s*cos(ang)
MOU"X3U&p1q z=0u7j7fiVj q

_HJ yw{@ [img]http://www.ugproe.com/upload/forum/200703/20070306133706zs.jpg[/img]
hn\fI
*nH v4erLQcR 图5 re)z\Q
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W/B R)NeQ+` EO 6.螺旋线.r5gqM2L
笛卡儿坐标
$m;Z&R? Q 方程：x = 4 * cos ( t *(5*360)) 0b,VN.t|'b(c
y = 4 * sin ( t *(5*360))
l q
^C3z tbX z = 10*t+V1PG.@fl"t"a'w+e@

G(}Ls2q3z3}$S zI B-q4KA`2h|s
[img]http://www.ugproe.com/upload/forum/200703/20070306134145ms.jpg[/img]{&elH&B
图6;O^7D4L7F@
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7.对数曲线y;Ou9S4W;w9i xe
笛卡尔坐标系
z%W8|$}8T@z0\ 方程：z=0 i+Xh+FvU"l
x = 10*t
h R3g%Z+hI y = log(10*t+0.0001)&VX_u f'E
[img]http://www.ugproe.com/upload/forum/200703/200703061342069v.jpg[/img]
_&UF;d} $Y@U%E5nn_Y
图7Ue c$v&H6\B

5z r:ugT^+F-m l9l ^j#VNz
8.球面螺旋线
:Ld%[)o#Bp Lc 采用球坐标系
v@9h;f}/{ 方程：rho=4
+zq'BG~
Xq theta=t*180
8|R a1Kt(N phi=t*360*20q\-H\yW
[img]http://www.ugproe.com/upload/forum/200703/20070306134231nw.jpg[/img]
XQ!A5XSO ? 0eY M8mS0Q0\ d1X"t
图8ZWuLF

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9.双弧外摆线'fU7xS6Ge(eEa O&N
卡迪尔坐标 Kk$\'L ]I#R8v)i){(w
R
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方程： l=2.5
;["[3vpo b=2.5 a j;w,X.s5G+H
x=3*b*cos(t*360)+l*cos(3*t*360) |sSL xt
Y=3*b*sin(t*360)+l*sin(3*t*360)
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i {{5~
[img]http://www.ugproe.com/upload/forum/200703/20070306134246ed.jpg[/img]
gi!r!Z~\ lA?4ONCVK4As
图9
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A9H8r al9xA 10.星行线
i0T.yc$hIw"E!@C 卡迪尔坐标
/W$O/\mU:yH 方程：a=5 rbI)p?U.B
x=a*(cos(t*360))^3
!P*@:m|tD y=a*(sin(t*360))^3#MtRaD G8^#S*_/U
2[m;u#BHl{"S
[img]http://www.ugproe.com/upload/forum/200703/2007030613431215.jpg[/img](C5CTOt+E D
L@1K&nQ'H
图10
/hZEgg3?3M [pagecute]
u)WCbe Pz4G 5X|3]W
_o5}2v
11.心脏线
y*KS8jj5i |&d^/X{ 圓柱坐标
[+e:O*Eb+O%oz#n 方程：a=10 %BR,h1W%VE6}(D
r=a*(1+cos(theta)) s:D/tTB XCY|_5DB$s
theta=t*360
~)N.S(~"j o0Gem/q?/d
[img]http://www.ugproe.com/upload/forum/200703/20070306134337q0.jpg[/img]
_$v8i"v0`#c 图11;o6x4[5NQ%E` tm
u,b0Xs.oh
^!o"mF}
12.圆内螺旋线
Gny&Y1fL%R
G%r 采用柱座标系
Mv\.i$L6}"M{ 方程：theta=t*360 T-w%_q2V
Q @@ey
r=10+10*sin(6*theta)
o.``;n;cS)R `m7As z=2*sin(6*theta)
7PTpt4[
E'oj;g8xz [img]http://www.ugproe.com/upload/forum/200703/200703061344057g.jpg[/img] iT [N2s

5\OU4k H7lS1V 图12
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-xj5]Ne|p*B 13.正弦曲线/yG"|$m#QTI6@H
笛卡尔坐标系
Ylji0S5UW BO$o 方程：x=50*t 9U2`@j$E?s
y=10*sin(t*360)
-|1i)V:B!Q"O$t(s#A z=0cmd7a1C'e/z/l
[img]http://www.ugproe.com/upload/forum/200703/20070306134454ij.jpg[/img]'qs-~%w_
,H+JR4jF1E@ \go
图13D;_[c$Yh

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14.太阳线（这本来是做别的曲线的，结果做错了，就变成这样了）
3B8\DI)v2m3_
k}V4},M@v+Q 图14
9M9s:PXr)gMml7E |~1x _|3JY
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15.费马曲线（有点像螺纹线）
:^"Ob&h$AD(xT a 数学方程：r＊r = a*a*theta
/FZm({t3K 圓柱坐标A[ b@.Y'D
方程1: theta=360*t*5
\8acG#Z ]n}G~ s a=4
~o(@/`(Bsw6c%n r=a*sqrt(theta*180/pi)
z0Y]itR,BV 方程2: theta=360*t*5-P3Cf"W0v
a=4/X h3{ooC.V n
r=-a*sqrt(theta*180/pi)
"GQ'T(^o@m-zd)n 由于Pro/e只能做连续的曲线，所以只能分两次做
3f.i%K]D%H/Pj [img]http://www.ugproe.com/upload/forum/200703/20070306134547zb.jpg[/img]JepP-F9k[;Z

?5\g yS Mb!a Lz 图15
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9[%~W*h1i6D;m [pagecute]$?@kX jv'b9zo7Q/O
16.Talbot 曲线
;P
d0w-c!Kl:P 卡笛尔坐标
$ju+X.k*a$jM%a!} 方程：theta=t*360
qZ9@go LkFD~*jj a=1.1[?N W/@5l kd
b=0.666
L6E3kLLw_@?,H c=sin(theta) CW4aXyLQhI
_
f=1 } XjucVo%L
x = (a*a+f*f*c*c)*cos(theta)/a/~\+b2l$x$NTTZ$}9p
y = (a*a-2*f+f*f*c*c)*sin(theta)/b)o(^@9|3j
[img]http://www.ugproe.com/upload/forum/200703/20070306134624h4.jpg[/img]#| k"f LBoF&r3{k

W5JpWV%JO n g$kO 图16q-^5[3]&jT"[0j~
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17.4叶线（一个方程做的，没有复制）
4j\1U!P\X\$f
9@QR)GkqP^r_h [img]file:///C:/Documents%20and%20Settings/Administrator/Local%20Settings/Temporary%20Internet%20Files/Content.IE5/CGIR5K7F/20070306134641ot%5B1%5D.jpg[/img]
._ Q0jV+c#X 图17&W3IIN(m-\Yr2Sl9j

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m`0}*KM(me 18.Rhodonea 曲线 8z}L'`+Bv2i%V
采用笛卡尔坐标系
8D"cgBSt!G 方程：theta=t*360*4
V*p%x:o6C x=25+(10-6)*cos(theta)+10*cos((10/6-1)*theta) O4Q-V5u~K
y=25+(10-6)*sin(theta)-6*sin((10/6-1)*theta)Ym Kx8^)t*f YOn%g
[img]http://www.ugproe.com/upload/forum/200703/20070306134704n7.jpg[/img]
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U,@+g k@ P2fl 图18%b(w"z7r b4D%H6L:j%T
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Xyl/]/N9| 19. 抛物线 /gZNklV
笛卡儿坐标
P{ O|L){p#e
s
\N 方程：x =(4 * t)
+A _ I)K7tF)^R-u y =(3 * t) + (5 * t ^2)
6HFfO?Hk&WO$d z =0
*isFWy ZxR ?
P,|Qp N,FZ

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?VjhZ [img]http://www.ugproe.com/upload/forum/200703/20070306134728iq.jpg[/img]*j P,[,ADV
图19/~)px5Ae^`/@k A

dp3~#XoZ0c6us #~ X:E,e Mite_/N}
20.螺旋线
'D^5V*iy.O~K 圓柱坐标/r u(O9s1u+Z8N^%d*FLc
方程：r = 5 3V0F.W"Qm H/Q7K ]]W
theta = t*1800
xVvK@ Nt1v
mY z =(cos(theta-90))+24*t
"sNlOfUl6EZnZ [img]http://www.ugproe.com/upload/forum/200703/200703061347466h.jpg[/img]
(D|3{:b7g7k
kW #W+t)P6zT\Vq
图201zF2GD
~ G
oa8dn3pdX7~,BJD$I

;E lZlw h8a"d)JC\ 21.三叶线yJ%L!Vj"pH#m
圆柱坐标
(K&Y Rxy 方程：a=1i&j2\"r,m}Q2K}
theta=t*380EL"a3f6XQA X%Y
b=sin(theta)0Np&x`'cg,~a#p
r=a*cos(theta)*(4*b*b-1){@xo+O5f kU
I4mH+j5E|mhp
[img]http://www.ugproe.com/upload/forum/200703/20070306134802vb.jpg[/img]
0}R*|w-{

sdmxqiu 发表于 2007-7-28 11:07

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