Development of the method of setting and determination of the form of the radio-reflective network in one plane

Abstract

A large-sized transformable space-based reflector has been reviewed. Features of this design are compactness in transportation, a large ratio of volumes in the opened and folded states, low mass with substantial dimensions. Given these properties, there are some problems with reliable deployment of this system, with maintaining and regulating the required form of the radio-reflective net fabric. In this paper we demonstrate the application of the mechanics of flexible thread to find the shape and force of the pull in the space-based cable-stayed reflectors. Equations showing the dependence of the form of the net fabric on the tension force in a single have been obtained. A particular problem is considered for finding the tension force at a given position of the net fabric. There have been obtained appropriate solutions for three points, two rigidly fixed and adjustable, located between them. This approach is applicable for determining the tension force in the case of using different materials and different initial conditions.