Why do my teeth chatter when I am really angry?

When I get mad (not like day-to-day mad, I mean when something really sets me off intensely) I shiver very hard and my teeth chatter uncontrollably. My body acts like it is freezing cold, no matter what the temperature.

I can’t imagine it’s just adrenaline, I have anxiety disorders out the wazoo and nothing makes this happen but rage. Is that… typical? What causes this physical reaction?