Abstract
A structural analysis method is proposed in this paper for cable-beam composite structure with a large number of cable elements; it can improve computational efficiency and accuracy. Firstly, we use a structural division method to divide the whole cable-beam structure into inner cablenet system and edge cablenet-beam system. Because inner cablenet is a pure cablenet structure with given shape and topology, balance matrix analysis method is used to help obtain the best pretension distribution of it with the evenness as objective. For edge cablenet-beam system, with obtaining equilibrium forces of inner cablenet’s pretensions as goal, an iterative pretension losses compensation calculation combined with nonlinear finite element method and balance matrix analysis method is used for edge cablenet to adjust its pretension distribution and make the whole cablenet system keep its preset ideal shape under influence of beams’ deformations. Because edge cablenet-beam system has a lot less cable elements than overall structure, its nonlinear finite element calculations are much easier and faster than those for the whole cable-beam composite structure. In order to verify the above method’s validity, it is used for a spaceborne cablenet deployable antenna example, and the computed results indicate that the method is feasible.
Highlights
In engineering practice, cablenets in cable-beam composite structures are usually tension systems with predetermined topologies and shapes. e structural analyses for these cablenet systems are aimed at obtaining a set of reasonable cable pretensions to make sure the whole cable-beam composite structure has enough strength and stiffness along with an ideal shape [1].Nonlinear finite element method is often used for analyzing structural properties of cable-beam composite structures
Papers [2,3,4] use nonlinear finite element method and optimization methods to optimize the structural parameters of cable-beam composite structures, and, by calculating with cable elements’ cross-sectional areas or pretensions as variables and structural shape precision as goal, they obtain the optimal cable pretension distribution and a satisfactory shape precision
For analyzing complex cable-beam composite structures, they are first divided into inner cablenet system and edge cable-beam system; an iterative calculation method combined with balance matrix analysis method and nonlinear finite element method is used to make an efficient analysis
Summary
Cablenets in cable-beam composite structures are usually tension systems with predetermined topologies and shapes. e structural analyses for these cablenet systems are aimed at obtaining a set of reasonable cable pretensions to make sure the whole cable-beam composite structure has enough strength and stiffness along with an ideal shape [1]. Mathematical Problems in Engineering deformations, this paper proposes a division method for cable-beam composite structures, and, by calculating substructures in different ways, the method can efficiently and accurately analyze and design complex cable-beam composite structures. In this method, the cable-beam composite structure is divided into two parts, inner cablenet system and edge cablebeam system. In order to reflect interactions of beam system and cablenet system, balance matrix analysis method and nonlinear finite element method are combined in this paper, and their respective advantages can both be used for better analyzing edge cablebeam system to obtain more accurate results
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