A gas turbine engine comprising: a floating rotary shaft bearing having an outer race ; a stationary bearing housing ; and a multi-film oil damper disposed between the floating rotary shaft bearing and the stationary bearing housing , the multi-film oil damper comprising: an annular damper cavity defined within the stationary bearing housing between a radially outward wall and radially extending side walls ; an inner damper ring having axial ends that abut the radially extending side walls of the annular damper cavity , wherein the inner damper ring is disposed radially outward of the outer race of the floating rotary shaft bearing ; and an outer damper ring disposed between the inner damper ring and the radially outward wall of the annular damper cavity , wherein a radial thickness of the inner damper ring exceeds a radial thickness of the outer damper ring , characterised in that the inner damper ring has a radially inward surface, for abutting the outer race of the rotary shaft bearing , and a radial oil passage for providing an oil film coating between the radially inward surface of the inner damper ring and the outer race of the rotary shaft bearing . a floating rotary shaft bearing having an outer race ; a stationary bearing housing ; and a multi-film oil damper disposed between the floating rotary shaft bearing and the stationary bearing housing , the multi-film oil damper comprising: an annular damper cavity defined within the stationary bearing housing between a radially outward wall and radially extending side walls ; an inner damper ring having axial ends that abut the radially extending side walls of the annular damper cavity , wherein the inner damper ring is disposed radially outward of the outer race of the floating rotary shaft bearing ; and an outer damper ring disposed between the inner damper ring and the radially outward wall of the annular damper cavity , wherein a radial thickness of the inner damper ring exceeds a radial thickness of the outer damper ring , characterised in that the inner damper ring has a radially inward surface, for abutting the outer race of the rotary shaft bearing , and a radial oil passage for providing an oil film coating between the radially inward surface of the inner damper ring and the outer race of the rotary shaft bearing . an annular damper cavity defined within the stationary bearing housing between a radially outward wall and radially extending side walls ; an inner damper ring having axial ends that abut the radially extending side walls of the annular damper cavity , wherein the inner damper ring is disposed radially outward of the outer race of the floating rotary shaft bearing ; and an outer damper ring disposed between the inner damper ring and the radially outward wall of the annular damper cavity , wherein a radial thickness of the inner damper ring exceeds a radial thickness of the outer damper ring , characterised in that the inner damper ring has a radially inward surface, for abutting the outer race of the rotary shaft bearing , and a radial oil passage for providing an oil film coating between the radially inward surface of the inner damper ring and the outer race of the rotary shaft bearing . <EOS>