Optimal layout method of distributed locking device of satellite based on plant root growth theory

Abstract

The method of determining the optimal direction of satellite locking point is extended from the mechanical stability principle of plant roots growth under external loads. The method of topological optimization of the number and location of satellite locking units was proposed based on the adventitious root growth pattern of monocotyledons. Inspired by the fibrous root growth rhythm, the method for topological optimization of the effective contact interface shape of the satellite locking units is presented. A satellite finite element model and three-dimensional spring support model are established to lay the foundation for system frequency analysis. Parallel algorithm is used to optimize the position of the main locking points. One-dimensional search method is adopted to select the growth positions of the secondary locking points with the goal of maximizing fundamental frequency of the system. The relationship between the locking stiffness and system fundamental frequency is explored. Finally, the optimization results of this method are compared with those of conventional methods; the comparison demonstrated that the fundamental frequency of the locking system is significantly enhanced by the proposed method.