A gas turbine engine assembly comprising: a fan assembly coupled to a core gas turbine engine; a low pressure turbine coupled to said core gas turbine engine; a first shaft configured to rotate in a first direction and coupled between said fan assembly and said low pressure turbine; said core gas turbine engine comprising a high pressure compressor, a high pressure turbine, and a second shaft configured to rotate in a second opposite direction and coupled between said high pressure compressor and said high pressure turbine; and a differential squeeze film damper bearing assembly coupled between said first shaft and said second shaft, said differential squeeze film damper bearing assembly comprises: an inner race coupled to said second shaft to rotate in said second opposite direction; an outer race coupled to said first shaft via an outer race spring to rotate in said first direction, said outer race comprising at least a first groove configured to receive a first seal, said first seal configured to facilitate sealing between said outer race spring and said outer race during engine operation; a plurality of bearings coupled between said inner and outer races; a lubrication system coupled to said gas turbine engine; a seal lands coupled to said second shaft; a seal coupled between said seal lands and said second shaft such that a first cavity is defined between said seal lands, said second shaft and said seal, said first cavity in flow communication with said lubrication system; and an oil cover coupled to a radially inside of said first shaft and located in a radially inward space of said first shaft such that a second cavity is defined between said oil cover and said first shaft, said oil cover configured to rotate with said first shaft, wherein said lubrication system is configured to channel lubrication fluid through an opening extending through said oil cover into said second cavity, said first shaft comprising an opening extending therethrough and an opening extending through said seal lands such that said first cavity is in flow communication with said second cavity, wherein an opening extends through said second shaft for channeling lubrication fluid from said first cavity; whereby lubrication fluid is channeled through said first shaft, said second shaft, said oil cover and said seal lands to lubricate said differential squeeze film damper bearing assembly. an inner race coupled to said second shaft to rotate in said second opposite direction; an outer race coupled to said first shaft via an outer race spring to rotate in said first direction, said outer race comprising at least a first groove configured to receive a first seal, said first seal configured to facilitate sealing between said outer race spring and said outer race during engine operation; a plurality of bearings coupled between said inner and outer races; a lubrication system coupled to said gas turbine engine; a seal lands coupled to said second shaft; a seal coupled between said seal lands and said second shaft such that a first cavity is defined between said seal lands, said second shaft and said seal, said first cavity in flow communication with said lubrication system; and an oil cover coupled to a radially inside of said first shaft and located in a radially inward space of said first shaft such that a second cavity is defined between said oil cover and said first shaft, said oil cover configured to rotate with said first shaft, wherein said lubrication system is configured to channel lubrication fluid through an opening extending through said oil cover into said second cavity, said first shaft comprising an opening extending therethrough and an opening extending through said seal lands such that said first cavity is in flow communication with said second cavity, wherein an opening extends through said second shaft for channeling lubrication fluid from said first cavity; whereby lubrication fluid is channeled through said first shaft, said second shaft, said oil cover and said seal lands to lubricate said differential squeeze film damper bearing assembly.