Methods and related systems are described for a sealed housing for downhole transducers. The housing system includes a housing body and a transducer positioned within the housing body, and one or more flexible members sealably mounted on the housing body. The flexible members each have one or more undulations which facilitate movement of the flexible member in directions primarily perpendicular to the surface of the flexible member. The dimensions of the one or more undulations are designed so as to optimize the ability of the movements of the member thereby accommodating volume changes in the sealed housing. A substantial amount of compensating material can also be positioned within the housing body. The compensating material has a coefficient of thermal expansion substantially less than that of the housing material.