Simulation of body vibrations on an incompressible air cushion

Automatic assembly with a part vibrating on incompressible air cushion is considered. The equation of pressure distribution in air cushion between the part and the supporting surface of a pneumatic track is derived. To solve the equation of pressure distribution, a finite element model is constructed. The equation of part motion on air cushion and the equation of pressure distribution are solved. The zones of parameter combinations of air flow and the part motion are defined in cases of slowly damping process, slowly increasing vibrations amplitude or constant amplitude vibrations of the part on the air cushion. Dependencies of vibrations amplitude and air cushion pressure, both on air flow and the system parameters are determined.