A system for damping vibrations in a screw compressor, comprising: a compressor housing; at least one rotor (40, 42, 640, 642, 940) further comprising a helical screw mounted in the housing, the rotor having a shaft (300, 500, 1000) with a first axial end and a second axial end; radial bearings (46, 48, 52, 1044, 1046) positioned near each end of the shaft, the radial bearings precisely positioning the at least one rotor in the housing in a radial direction within a first predetermined clearance range; a stationary squeeze film damper positioned in parallel to each of the radial bearings and adjacent the radial bearings, the stationary squeeze film damper having a second predetermined internal clearance range greater than the first predetermined clearance range of the radial bearings with the rotor; a damper bearing (747, 847, 947) of the stationary squeeze film damper selected from the group of bearings consisting of hydrodynamic bearings and anti-friction bearings, the damper bearing transferring radial movement of the rotor shaft to the stationary squeeze film damper; at least one thrust bearing mounted on the shaft of the rotor, the at least one thrust bearing counteracting axial forces on the rotor; a lubricant source (1372, 1472); a conduit from the lubricant source to each of the stationary squeeze film dampers providing lubricant from the source to each of the stationary squeeze film dampers; at least one of a cooler (1370, 1470) and a pressure pump between the lubricant source and each of the stationary squeeze film dampers, wherein the lubricant (38, 304, 538, 838, 844, 938, 944) provided from the lubricant source is maintained below its bubble point; wherein the lubricant provided to each of the stationary squeeze film dampers provides a viscous damping of periodic radial motion of the at least one rotor, the lubricant occupying the second predetermined tolerance range within each of the stationary squeeze film dampers between the rotor and a wall of each of the stationary squeeze film dampers. a compressor housing; at least one rotor (40, 42, 640, 642, 940) further comprising a helical screw mounted in the housing, the rotor having a shaft (300, 500, 1000) with a first axial end and a second axial end; radial bearings (46, 48, 52, 1044, 1046) positioned near each end of the shaft, the radial bearings precisely positioning the at least one rotor in the housing in a radial direction within a first predetermined clearance range; a stationary squeeze film damper positioned in parallel to each of the radial bearings and adjacent the radial bearings, the stationary squeeze film damper having a second predetermined internal clearance range greater than the first predetermined clearance range of the radial bearings with the rotor; a damper bearing (747, 847, 947) of the stationary squeeze film damper selected from the group of bearings consisting of hydrodynamic bearings and anti-friction bearings, the damper bearing transferring radial movement of the rotor shaft to the stationary squeeze film damper; at least one thrust bearing mounted on the shaft of the rotor, the at least one thrust bearing counteracting axial forces on the rotor; a lubricant source (1372, 1472); a conduit from the lubricant source to each of the stationary squeeze film dampers providing lubricant from the source to each of the stationary squeeze film dampers; at least one of a cooler (1370, 1470) and a pressure pump between the lubricant source and each of the stationary squeeze film dampers, wherein the lubricant (38, 304, 538, 838, 844, 938, 944) provided from the lubricant source is maintained below its bubble point; wherein the lubricant provided to each of the stationary squeeze film dampers provides a viscous damping of periodic radial motion of the at least one rotor, the lubricant occupying the second predetermined tolerance range within each of the stationary squeeze film dampers between the rotor and a wall of each of the stationary squeeze film dampers.