17. Mathematical Modeling of Deployment Dynamics of Large Transformable Space Structures

Large-sized space structures with transformable configuration are multilink systems consisting of a large number of interconnected elements. The structures are delivered into space orbits in a folded, tightly packed transport state and after that the deployment takes place which occurs under the action of force actuators to bring them into a working position. Dimensions of the transformable space structures in transport and operating states can differ tens of times. The transformation of space structures occurs due to the use of various force actuators. In the process of opening such systems, dynamic shock loads occur on their elements. As active elements of force actuators, it is proposed to use materials with the shape memory effect. Some characteristics are obtained from quantitative and qualitative studies of wires made of titanium nickelide which have a shape memory effect. These characteristics are important for the application of the wires as force actuators to ensure controlled deployment of the transformable space structures. The procedure of the force actuator calculation is proposed, which is based on the mathematical model of its operation and takes into account the obtained experimental data.