# Need help in modelling a Scroll compressor

I am trying to model a scroll compressor, please suggest me some material for doing it. I am trying to model scrolls based on the following equations.

x=a*(cos(t)+t*sin(t))
y=a*(sin(t)-t*cos(t)). Is my approach correct or is there any other way to model them directly.?

Coming to the assembly part, how do I assemble the Conjugate spirals profile.

Also suggest me how to write a User Defined Function to animate it according to its working.

if you want the simplest spiral (the spiral of Archimedes)

The radius r(t) and the angle "t" are proportional.
Therefore the equation is:

Polar equation: r(t) = a*t [a is constant].

or Parametric form:
x(t) = a t cos(t),

y(t) = a t sin(t),
In solidworks you haveat least two path. Draw a simple circle an then (see figures attached 0 and 1) Use specific funtion spiral a = pitch.
Or use a drive equation driven curve ( see figures 2 and 3).

But if you want a more technical information (non-mathematical) In this video, https://www.youtube.com/watch?v=dsabYhhOko0 you have an excellent explanation of how a scroll compressor works and you can see details of how it is constructed.