How to add simple collision to imported skeletal meshes without bones?

I am importing animated meshes, without bones, from Maya to UE4 by baking the animations into a FBX file. An example of this would be a door opening and closing.
The import works fine and I can see the animation in UE4. The problem is that I cannot get a collider on the animated mesh. If I import a mesh as a static mesh, i.e, without the animation baked in, UE4 creates a collider for me and everything works fine. I cannot get this to work for animated meshes. I also tried to create a physical asset for the animated mesh but it complained that there were not enough bones (indeed it has no bones). How do I add collisions to my animated mesh (that also follows the movement of the mesh)?