A flexure support apparatus for providing multiple axes support to reciprocating members for an energy conversion process includes a base having a sleeved opening disposed therethrough a central portion of the base and a plurality of apertures also disposed therethrough the base that are positioned outside of the sleeved opening, also included in a plurality of flexible finger assemblies that are positioned in an offset manner on opposing sides of the base. Further included is a pair of piston assemblies that are disposed within opposing ends of the sleeved opening being supported by the plurality of flexible finger assemblies, wherein the piston assemblies move in opposing and equal amounts in reciprocating movement within the sleeved opening being supported and controlled by the plurality of flexible finger assemblies, thus the pair of piston assemblies are able to do compressive work on a fluid within the sleeve without bearings or seals.

A coupling arrangement for connection between a first rotatable shaft and a second rotatable shaft includes a first rotatable portion connectable to the first rotatable shaft, and a second rotatable portion connectable to the second rotatable shaft. The coupling arrangement includes a first reciprocating element mechanically connected to the first rotatable portion at a first interconnecting portion for transforming a rotating motion from the first rotatable portion to a linear motion of the first reciprocating element and a second reciprocating element mechanically connected to the second rotatable portion at a second interconnecting portion for transforming a linear motion from the second reciprocating element to a rotating motion of the second rotatable portion. The coupling arrangement includes a connecting element rotatably connected to each of the first reciprocating element and the second reciprocating element for allowing a relative rotation between the connecting element and the first and second reciprocating elements, respectively.