A positive displacement compressor includes a positive displacement compressor rotor; a shaft operative to support the positive displacement compressor rotor; a bearing operative to support the shaft; a first structure having a first squeeze film compression surface; and a second structure having a second squeeze film compression surface spaced apart radially from the first squeeze film compression surface. The first and second structures are constructed to jointly form a squeeze film damper using the first and second squeeze film compression surfaces. The squeeze film damper is operative to provide squeeze film damping of vibrations. An annular oil discharge groove is disposed adjacent to a first end of the squeeze film damper. A first o-ring gland houses a circumferential-sealing o-ring disposed proximate to the first end of the squeeze film damper. A second o-ring gland houses a second circumferential-sealing o-ring disposed proximate to a second end of the squeeze film damper.