Methods and apparatus for isolating vibrations associated induced by reaction forces and ground vibration are disclosed. The internal spherical protrusions are formed by radially pressing and crimping the cylindrical wall of the tubular body at one or more angularly spaced apart deformable areas of an annular strip. The actuator rod has an annular protuberance of diameter equal to the diameter of the cylindrical wall. The leasing company then acquires leases from dealers. Color filters and a polymer-dispersed liquid crystal layer may further be included in the display device. Based on the application of the rules for the device identifier, a determination is made as to whether the device identifier is valid or not.