Increasing the operational functionality of large-sized transformable space systems leads to the need to design and create more and more complex structures. Creation of such systems is largely based on a mathematical experiment, the purpose of which is to check the incorporated design solutions from the point of view of their compliance with the development assignment. The opening of transformable space systems occurs under the influence of various power drives. To ensure deployment with

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... dynamic loads, it is proposed to use power drives, the active elements of which are made of a material with a shape memory effect. The advantages of power drives with shape memory materials are the ability to generate significant force, reliability, compactness, low power consumption and low weight. The power drive uses an active element made of a titanium nickelide wire, which is heated during operation by passing an electric current through it. A tensile force is applied to the active element. After that, the active element is heated by passing an electric current through it. Upon reaching the temperature of the onset of the reverse martensitic transformation, the active element begins to shorten its length. The decrease in length stops at the temperature of the end of the direct martensitic transformation. In the course of experimental studies of samples of active elements of drives, some characteristics that are important for their use for deploying transformable space structures have been revealed. A numerical experiment using the developed mathematical models in combination with ground-based experiments is often used as an opportunity to verify and justify the designed transformable space systems.