A lot of front wheel drive cars suffer from axel tramp. Lay off the go fast pedal. Even if you dont get the shudder, it means wheel spin which isn't fast anyway.

When I have had it before, it normally happens when the wheel breaks into severe wheelspin like when you take off in the wet and go over a drain cover. In the dry, even when I really get up it, I try to do it smoothly as possible and you only really get a little 'chirpy'.