A system and bicycle incorporating same mounts a heat-generating component such as a motor, motor controller, or battery pack, inside a frame tube using a thermally conductive and compliant elastomeric device comprising a base portion having a relatively smooth first side and regularly-repeating protrusions extending away from a second side, wherein the relatively smooth side of the elastomeric device is wrapped around the heat-generating component such that the regularly-repeating protrusions will be in an interference fit with the interior surface of the tubular frame when the heat-generating component is mounted in the frame tube, thereby conducting heat to the frame to exhaust to the environment, providing compliance that allows for dimensional variation of assembled parts, and muting noise and vibration.