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标题: 【分享】方程式线。。给新手,好像我。。。 :P [打印本页]

作者: ccf    时间: 2004-8-1 23:43
标题: 【分享】方程式线。。给新手,好像我。。。 :P
Pro/engineer uses this system variables :
[$#8226] t (varies from 0 to1) t is used to generate varying values for theta and z. The start of the datum curve is t=0 and the end of datum curve is t=1  
[$#8226] Theta (angle from x axis of coordinate system) - cylindrical coordinate system.  
[$#8226] Theta (angle from y axis of coordinate system) - spherical coordinate system.  
[$#8226] Phi (angle from x axis of coordinate system) - spherical coordinate system only.  
[$#8226] z (distance in z from coordinate system) - cylindrical coordinate system and Cartesian coordinate system.  
[$#8226] x (distance along x-axis) - Cartesian coordinate system.  
[$#8226] y (distance along y-axis) - Cartesian coordinate system.
All other symbols are user defined e.g. IR- inner radius, OR- outer radius, XOR - overall size in X, YOR - overall size in Y. The purpose is to make it easier to change values by only having to edit the value in one place.
Below I describe to you a lot of curves that is given by equation. Use cut and paste to copy these equations into the equation editior.
1. ELLIPTICAL CURVE
Cartesian coordinate system
XOR = 'overall size in y'
YOR = 'overall size in x'
x = XOR / 2 * cos ( t * 360)
y = YOR / 2 * sin ( t * 360)
z = 0  
2. SPIRAL CURVE  
Cylindrical Coordinate system
IR='start radius'
OR='final radius'
TURNS='number of turns'
r= IR + t * (OR-IR)
theta=t * 360 * TURNS
z=0  
[$#61607] Wavy Spiral  
change z to z='size of wave'*sin(360*t*'no of waves')
3. Helical Curve  
Cylindrical coordinate system
IR='start radius'
OR='final radius'
r=IR + t * (IR-OR)
theta=t * 360 * 'no of turns'
z='height' * t (or pitch * no of turns * t)  
4. Helical Curve  
Cartesian coordinate system
XOR='final radius'
YOR='final radius'
x = XOR * cos (t * 360 * 'no of turns')
y = YOR * sin (t * 360 * 'no of turns')
z = t * 'height'  
[$#61607] TAPERED HELIX  
change r to r= IR+t*(OR-IR)  
[$#61607] WAVY HELIX  
change z to z='height' * t + 'size of wave' * sin(360 * t * 'no of waves')  
[$#61607] ELLIPTICAL HELIX
Cartesian coordinate system
XOR = 'overall size in y'
YOR = 'overall size in x'
x = XOR * cos ( t * 360 * 'no of turns')
y = YOR * sin ( t * 360 * 'no of turns')
z = 'height' * t
5. WAVY CIRCLE
Cylindrical Coordinate system
r='radius'
theta=t * 360 * TURNS
t='size of wave' * sin(360 * t * 'no of waves')  
6. Weird Curve  
Spherical Coordinate System
rho=360*8*t  
theta=360*t*4  
phi=-360*t*8  
7. To create a datum curve in the shape of a sine function , use the following equations:  
x = 5 * t  
(five is the total width of the curve along the X axis)  
y = sin (360 * t * 2)  
(two is the number of cycles created)  
z = 0  
8. To create a datum curve in the shape of a parabola , use the following equations (mirror the curve about DTM1 after creating it to get a full parabola):  
x = t  
y = 2 * t^2  
(equivalent of y=2x2)  
z = 0  
9. When using the spherical coordinate system, the results can be amazing. Try the following equation:  
rho = 8 * t  
theta = 360 * t * 4  
phi = -360 * t * 8  
regards
作者: zhuifeng5144    时间: 2004-8-2 06:07
干吗用的
作者: ants3000    时间: 2004-8-2 07:50
哈哈,楼主老兄,怎么说也得顶你。不过好像不是全部的人都看得懂啊,比如说我  :))
作者: ccf    时间: 2004-8-2 09:08
只为分享..不用顶我, 有用就拿吧..呵呵..
作者: pcy    时间: 2004-8-2 09:36
謝謝!下!
作者: ysk    时间: 2004-8-2 10:22
下了就得顶!
作者: 欢乐天真    时间: 2004-8-2 10:28
~~看不懂
作者: ronghua_t    时间: 2004-8-2 11:31
楼主老兄;看不懂 呢?




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