Use the Illustrator file. Make sure all the lines have weight (stroke).
Export out of Illustrator as an Autocad file.
Import that autocad file into vectorworks and if you need it as a 3d logo, ie able to apply to items in perspective or isometric, check the "all 3d" button in the import pop up windows.
Once it is in Vectorworks, convert all to line and then work with the logo as needed (make it 3d & several inches thick, etc.) To be able to more easily resize the import I usually convert to line in any case.
Hope this helps, count it as only one way to accomplish what you need. I'm sure there are different ways.