An analytic algorithm for pretension design of asymmetrical ring truss cable-net antennas

Abstract:

For convenience of application, an analytic algorithm was proposed to design the pretensions of asymmetrical ring truss cable-net space-borne antennas. The projection equations of the main net in the plane perpendicular to the central line of the ring truss were given at first, and then the pretensions of the main net were obtained using the formula of the minimal norm method that is used to optimize the pretensions of a planar cable-net. The pretensions of the tension ties were calculated according to the vertical equilibrium equations of the points of the main net. A set of equilibrium pretensions of the auxiliary net were obtained by letting the tensions of the main net multiply the special coefficients respectively. The accuracy, validity and feasibility of the algorithm were proved by theoretical analysis, nonlinear finite element numerical simulations and comparisons with other pretension optimization algorithms. The algorithm can be used to design the pretensions of the asymmetrical or symmetrical ring truss cable-net space-borne antennas.