A fluid damping structure, comprising: an inner annular element having an outer radial surface and a plurality of annular grooves (124, 126, 128, 130) disposed in the outer radial surface; an outer annular element having an inner radial surface; a first inner ring seal having a first lateral surface, a second lateral surface, an inner diameter surface, and an outer diameter surface; a first outer annular seal; a first lateral chamber defined by the inner annular element, the outer annular element, the first inner ring seal, and the first outer annular seal; a second inner ring seal having a second inner ring seal first lateral surface, a second inner ring seal second lateral surface, a second inner ring seal inner diameter surface, and a second inner ring seal outer diameter surface; a damping chamber defined by the inner annular element, the outer annular element, the first inner ring seal, and the second inner ring seal; a plurality of fluid passages (122; 140; 140A) disposed in at least one of the inner annular element or the inner ring seals (98, 100); wherein the first lateral chamber is disposed on a first axial side of the damping chamber; characterized in that the fluid damping structure further comprises: a second outer annular seal; a second lateral chamber disposed on a second axial side of the damping chamber, and defined by the inner annular element, the outer annular element, the second inner ring seal, and the second outer annular seal, wherein the second axial side is opposite the first axial side; a fill port (142, 146, 150) in fluid communication with one of the damping chamber, the first lateral chamber, or the second lateral chamber, and in communication with a source of damping fluid; wherein the fluid damping structure is configured such that one or more of the fluid passages (122; 140; 140A) is disposed in an open configuration when a local damping fluid pressure within the damping chamber is less than a local damping fluid pressure in an adjacent region of one or both of the lateral chambers (72; 74), and the one or more of the fluid passages (122; 140; 140A) is disposed in a closed configuration when the local damping fluid pressure within the damping chamber is greater than the local damping fluid pressure in the adjacent region of the one or both lateral chambers (72; 74); a first annular plenum disposed in the inner radial surface of the outer annular element aligned with the first lateral chamber; a first lateral chamber port providing fluid communication into the first annular plenum; a second annular plenum disposed in the inner radial surface of the outer annular element aligned with the second lateral chamber; and a second lateral chamber port providing fluid communication into the second annular plenum. an inner annular element having an outer radial surface and a plurality of annular grooves (124, 126, 128, 130) disposed in the outer radial surface; an outer annular element having an inner radial surface; a first inner ring seal having a first lateral surface, a second lateral surface, an inner diameter surface, and an outer diameter surface; a first outer annular seal; a first lateral chamber defined by the inner annular element, the outer annular element, the first inner ring seal, and the first outer annular seal; a second inner ring seal having a second inner ring seal first lateral surface, a second inner ring seal second lateral surface, a second inner ring seal inner diameter surface, and a second inner ring seal outer diameter surface; a damping chamber defined by the inner annular element, the outer annular element, the first inner ring seal, and the second inner ring seal; a plurality of fluid passages (122; 140; 140A) disposed in at least one of the inner annular element or the inner ring seals (98, 100); wherein the first lateral chamber is disposed on a first axial side of the damping chamber; characterized in that the fluid damping structure further comprises: a second outer annular seal; a second lateral chamber disposed on a second axial side of the damping chamber, and defined by the inner annular element, the outer annular element, the second inner ring seal, and the second outer annular seal, wherein the second axial side is opposite the first axial side; a fill port (142, 146, 150) in fluid communication with one of the damping chamber, the first lateral chamber, or the second lateral chamber, and in communication with a source of damping fluid; wherein the fluid damping structure is configured such that one or more of the fluid passages (122; 140; 140A) is disposed in an open configuration when a local damping fluid pressure within the damping chamber is less than a local damping fluid pressure in an adjacent region of one or both of the lateral chambers (72; 74), and the one or more of the fluid passages (122; 140; 140A) is disposed in a closed configuration when the local damping fluid pressure within the damping chamber is greater than the local damping fluid pressure in the adjacent region of the one or both lateral chambers (72; 74); a first annular plenum disposed in the inner radial surface of the outer annular element aligned with the first lateral chamber; a first lateral chamber port providing fluid communication into the first annular plenum; a second annular plenum disposed in the inner radial surface of the outer annular element aligned with the second lateral chamber; and a second lateral chamber port providing fluid communication into the second annular plenum.