Mathematical Description of the Reciprocating Compressor Taking Into Account the Influence of Suspension Parameters on Its Output Characteristics

Abstract

A mathematical model of a reciprocating compressor is presented, consisting of a system of moving solid bodies, the center of mass of which is displaced, leading to vibrations of the compressor casing that is mounted on a suspension relative to a stationary base. The suspension elements possess dissipative properties and dissipate the energy transmitted to them, resulting in a loss of part of the mechanical energy generated by the electric motor. The vibrations of the reciprocating machine on the suspension are characterized by the vibration velocity, which is one of the most important environmental indicators. In this regard, assessing and, if necessary, minimizing these losses, as well as investigating the influence of the suspension parameters on the output characteristics of the compressor, becomes relevant. The proposed mathematical model is based on the methodology of the thermodynamics of open systems, the laws of mechanics describing the relative motion of the reciprocating elements, and the laws governing the motion of the center of mass of the system of moving elements, as well as the motion of the system relative to the center of mass. The mathematical model has been validated on the household refrigerator compressor KKh-0.125. The results obtained confirm the adequacy of the developed mathematical model.