The slip seat can be supported in a number of ways, depending on the application. Most of my chairs have slip seats that are fully or at least partially set into the seat frame. To support these, I glue a plywood ring into the seat frame. It serves two purposes: supporting the seat platform and strengthening the seat frame. Like the seat platform, the thickness of the plywood seat ring is determined by the overall size of the chair. As the seat frame is assembled, the ring is set into a deep groove about 5¼8 in. below the top edge. Then the upholstered platform is squeezed into the space above the ring, hiding the edges of the platform.
An alternative to insetting a slip seat into a seat frame is to let the upholstered platform hang over the front rail of the seat frame. In this case I usually attach a curved wood lip under the front edge of the platform, strengthening it and creating a plush look. If the slip seat must overlay the seat frame, it can be attached to wood blocks that are glued inside the frame.
To attach the seat platform to the wood blocks or plywood ring, you must locate the attachment holes. I cut pieces of 1/4-20 threaded rod about 3/4 in. long and sharpen one end of each by filing it. To mark the location of the platform T-nuts, I thread the sharp bolts into the T-nuts and press down the upholstered platform into position. Then I drill the clearance holes in the seat ring and attach the slip seat with round-head machine screws.
The result is a smooth, seamless, low-profile seat that will remain comfortable for many years.
From Fine Woodworking #163, pp. 54-58