In accordance with the method, a gas bearing is energized to center the piston in the cylinder prior to rigidly attaching the planar spring or springs between the piston and the compressor frame. This automatically and very accurately centers the piston in the cylinder to provide the added stiffness of a planar spring and gas bearing in an easily manufactured configuration. Various exemplary embodiments are disclosed, including embodiments having the piston cantilevered from one end using a single or multiple springs, an embodiment having a spring on each end of the piston, a double piston embodiment and embodiments using and not using the gas bearing during operation of the compressors.