The cable-net structure of large peripheral truss deployable antenna is radiated by the sun and planets for a long period of time, resulting in large thermal deformation and mechanical relaxation, which degrades the service performance of the antenna. In this paper, an optimal control strategy for surface accuracy of shape memory cable-net (SMC) structure under space thermal radiation is proposed. First, the shape memory alloy (SMA) is introduced and integrated with the cable-net structure. The SMC structure with shape memory effect (SME) has the capability to transform the space thermal radiation into a favorable factor for on-orbit adjustment of surface accuracy, in order to realize the on-orbit shape preservation of cable-net antenna in space environment. Then, the space temperature field of cable-net structure is calculated. Finally, the cable-net structure with a diameter of 2 m is simulated, and the influence of the diameter of SMA wire, slope for the relation between the critical stress of phase transformation and inverse phase transformation and temperature on surface accuracy are analyzed. It shows that the implantation of SMA can greatly improve the surface accuracy of cable-net structure in a single thermal cycle.

In this study, a beam element model with tension–compression asymmetry is constructed by using the improved Brinson model. A comparison between the calculated and experimental results verifies the computational effectiveness of the beam element. Then, a new mechanical property analysis model of a shape memory alloy (SMA) bolted joint based on the beam element model is proposed. Combined with a constructed convergence function, the mechanical equilibrium state of the SMA bolted joint under preload and external load is solved iteratively by the bisection method. Consequently, the stress–strain response curve of the SMA bolt rod and the root of the first thread, the deformation law of each thread and the separation conditions of the contact surface of members are analyzed by the proposed model. It is shown that the new proposed method can greatly improve the calculation efficiency with high calculation precision compared with the traditional calculation method.