A seal assembly includes an annular seal support, and an annular seal housing operably connected to the seal support. The seal housing includes a first axial surface facing away from the seal support, and a second axial surface opposite the first axial surface. A seal is located at the first axial surface. One or more first springs extend between the seal support and the second axial surface to urge the seal housing away from the seal support, and one or more second springs are located at the first axial surface to urge the seal housing toward the seal support.