Predesign of Nodes of Cable Net for Umbrella Reflectors Based on Bezier Surface

Abstract

The umbrella antenna cable net is different from the ring truss antenna. Most umbrella antennas do not use triangular cable nets. In this case, a predesign method based on Bezier surface is proposed for a common umbrella antenna cable net, and the corresponding formula is derived.The relationship between the shape accuracy and the cable net shape is obtained. From the extremum condition of the function. the distribution form of the node with the highest accuracy is obtained. The new cable net structure is parallelogram and triangle alternation. The cable net can meet the requirements of umbrella antennas with different number of antenna ribs. Finally, the accuracy of the surface of the reflector obtained by this method is verified, and the design can meet the requirements of engineering accuracy. This method can quickly calculate the distribution of the reflector nodes meeting the engineering accuracy. This method is a useful attempt to design the reflector of the umbrella cable-net antenna, and it has some inspiration to the design of this kind of antenna.