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# Curve through equation?

#### Rajeev

##### New member
Does any body have some equation to defing curve using equation option?

try this,

x=4*sin(360*t)

y=4*cos(360*t)

z=sin(8*360*t)

and you will get a wavy washer curve.

Israra

hello

try to find great answers through the forums of proecentral

karavasilis

hi

for helical spring

cartision method

x=5*sin(360*10*t)

y=5*cos(360*10*t)

z=20*t

tanm

Simple 2 axis datum curve using cartesian coordinates

y=sin(t*180)

x=t

Does any body have some equation to defing curve using equation option?

Could you be a little more specific? What kind of curve are you trying to generate and in what coordinate system, cartesian, cylindrical, or spherecal.

I am not creating any curve, i am trying to understand certain things about using curve in pro-e by equation. I want to understand the equations its self, can you help me kvision?

Rajeev -

Are you trying to do a Variable Section Sweep???

Yes. nose bleed, you have any suggestion?

ProE creates curves by equation using a parameter t

t varies from 0 to 1 over the range of the inputs so that you can vary something line the angle by entering t*360 to get an evaluation from 0 to 360 instead of at a single point.

Basically you can take any equation interms of x,y,x and parametize it with t so that you can generate the curve intended. for a circle in the z plane

x = 4 * cos ( t * 360 ) (-4<= x <= 4)

y = 4 * sin ( t * 360 ) (-4 <= y <= 4)

z = 0

to make this a helix simply vary z such as

z=t*4 to make the height of the helix 4. (0<= t <= 1) and (0<= z <= 4)

to make a spiral add a damping function.

x = 4 * cos ( t * 360 ) *exp(-t)

y = 4 * sin ( t * 360 ) *exp(-t)

z = 4*t

Once you have the curve you need you can use it as the trajectory for your variable section swep. You can also use other types of curves as well if you can sketch your curve or create it as the intersection of 2 surfaces.

try following,

select spherical coordinate system

rho=sin(t*90)

theta=90*t

phi=t*360*25

=============

select spherical coordinate system

rho=cos(t*90)

theta=90*t

phi=t*360*25

Rajeev -

Visit Karavasilis' article on Variable Section Sweeps -http://www.proecentral.com/portal/articles/articlesDetail.asp?id=25

good luck,