Surface Adjustment Method Based on Fuzzy Theory for Cable Net Structures under Multi-Uncertainties

Abstract

Because of manufacturing errors, measuring errors, and unpredictable service environment, the cable net structure to be further adjusted is in an uncertainty state. In this paper, the uncertain factors including elastic deformation, thermal deformation, and measurement uncertainties are considered as fuzzy variables, which are equivalent into fuzzy tensions to simplify calculation. A fuzzy force density method is developed for accuracy analysis of the cable net structures under multi-uncertainties, and an optimization model is developed for surface adjustment. The above method is applied to numerical model adjustment of circular truss cable net structure. The results show that the adjusted surface accuracy is significantly enhanced and its fuzziness is concentrated compared with the initial surface accuracy, which verify the validity of the proposed method.