Seal member support system for a gas turbine engine

A turbomachine, comprising:

• a rotor shaft having an outer surface and defining an axial centerline;
• a seal member support system, comprising:
• a seal carrier forming an annulus about the rotor shaft, wherein the seal carrier at least partially defines a pressure chamber;
• a seal member;
• and
• a flex body having a contact portion in contact with the seal carrier, and a flex portion extending from the contact portion towards the outer surface of the rotor shaft, wherein the flex portion is coupled to the seal member;
• wherein the flex portion defines a resistance along a radial direction of the turbomachine and holds the seal member at a radial distance away from the outer surface of the rotor shaft when a pressure inside the pressure chamber is equal to or below a minimum pressure threshold value, and to flex and move the seal member towards the outer surface of the rotor shaft when the pressure inside the pressure chamber exceeds the minimum pressure threshold value;
• wherein the seal member support system further comprises a garter spring, and the seal member includes a plurality of seal members, wherein the garter spring couples the plurality of seal members of the plurality of seal members in a circumferential pattern about the axial centerline of the rotor shaft.