The structure e.g. catheter (27), has a resiliently deformable longitudinal body (28) including a memory shaped actuator e.g. yarn (38), integrated longitudinal to the body that is in the form of an elongated cross-sectional blade. A heating unit longitudinally contracts the actuator by Joule effect to cause longitudinal bending of the body. The actuator extends over a polymer part with variable stiffness of the body. The actuator is incorporated in the blade, and extends along a longitudinal side of the blade, where the actuator is made of titanium and nickel.