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.

中文翻译：

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多不确定性下基于模糊理论的索网结构曲面调整方法

由于制造误差、测量误差和不可预测的使用环境，进一步调整的电缆网结构处于不确定状态。本文将弹性变形、热变形和测量不确定性等不确定因素视为模糊变量，将其等效为模糊张力，以简化计算。建立了多不确定性下索网结构精度分析的模糊力密度法，建立了曲面调整优化模型。将上述方法应用于圆形桁架索网结构的数值模型调整。结果表明，与初始曲面精度相比，调整后的曲面精度显着提高，模糊性集中，