Abstract: The present invention utilizes a controlled pressure application system to insure that the proper pressure is applied in a lamination of permeable and semi-permeable roll mounted sheets into a cellular sheet structure. The present invention uses a pressure roller mounted on a carriage which is movable horizontally radially of a heated roll by a controllable linear actuator such that variable and closely controlled pressure may be applied to a web passing between the heated roll and the carriage mounted pressure roller. Additionally, the present invention uses a precisely controllable fluid heated pressure roller and a precisely controllable fluid cooled cooling roller acting as a heat sink for the pressure roller to maintain a precise temperature gradient across the web at the nip.