A diaphragm assembly is provided which includes one or more pistons and a frame circumscribing the piston or pistons. The diaphragm assembly is useful with a wobble plate pump. The piston or pistons and frame are made of different materials. For example, the piston is made of a material that has a greater stiffness, hardness or rigidity than the material of which the frame is made. The piston will not undergo substantially ballooning over long term use of the diaphragm assembly.