Optimization Design of Cable-Frame Antennas Based on Tension Compensation Method

Abstract:

Tension truss reflectors are flexible structures characterized by strong geometric nonlinearities, thus the surface error and the real cable tensions of a reflector cannot be controlled efficiently to anticipant levels by their initial cable tensions. To ensure both appropriate node positions and anticipant cable tensions, an optimization method based on Tension Compensation Method is presented. First, a parameterized description of the zero-stress states of the front net and the rear net is proposed and the strategy of Tension Compensation Method is used to control the cable tensions to anticipant levels. Second, a mathematical optimization model for the cable tensions and the zero-stress state design of the cable network is established based on Tension Compensation Method with the optimization target of minimizing surface error of the reflector. Finally, the feasibility and effectiveness of the presented method are validated by some numerical examples. The results show that the cable tensions can be effectively controlled by the proposed method, and this method can generate regular zero-stress states of the cable-nets which may bring great convenience to the lofting work of the cable network.

• Periodical: Applied Mechanics and Materials (Volumes 496-500)
• Pages: 797-803
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.496-500.797
• Online since: January 2014
• Authors: Ya Li Zong, Hong Jun Cao
• Keywords: Cable Tensions, Mathematical Optimization Model, Surface Error, Tension Compensation Method, Tension Truss Reflectors, Zero-Stress State

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