fit logo to circle without distortion

Hi. This can be helpful: https://helpx.adobe.com/illustrator/using/creating-type-path.html

Andreas,

Distortion can mean different things, some are nicer than others.

Since you have very different parts, you can try this:

1) Create a suitable rectangle with no stroke and no fill round the parts (F + Hydaruliktechnik + Enno Friederichs, outlined Type) and group everything;

2) Turn the Group into an Art Brush (tick Proportional;

3) Create a circle midway between the other circles (you can do it with an expanded one step Blend, or just create it with the same centre based on the sizes) or as large as desired, then cut it where the Group is to end, possibly going halfway round (in which case you can just delete the bottommost Anchor Point), or possible going one quarter round (in which case you can rortate it by 45 degrees and delete everything but thr topmost segment);

4) With the circle part from 3) selected, click the new Art Brush.

You can use the Type on a Path feature/tool - here is a help page that gives more info: https://helpx.adobe.com/illustrator/using/creating-type-path.html

There is no way to do this automatically. You have to put in the work and rebuild the logo in curved form using text on path, actual circles and placing the cog and otehr elements as if they were following a circle.

Mylenium