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考虑了应力约束、位移约束、局部稳定约束和截面尺寸上下界约束条件的模糊性 ,以底座的结构质量为目标函数 ,建立了底座结构模糊优化设计的数学模型。结构优化采用了离散变量的拟满应力结构优化设计与有限元分析相结合的方法 ,克服了满应力设计只能考虑应力约束和尺寸约束的局限。采用二级模糊综合评判确定最优水平截集 ,从而将模糊优化问题转化为普通优化问题。计算结果表明底座结构模糊优化设计比底座结构非模糊优化设计更为合理 ,经济效益更为显著
Considering the fuzziness of the constraints of the stress constraints, the displacement constraints, the local stability constraints and the upper and lower bounds of the cross-sectional dimensions, the mathematical model of the fuzzy optimal design of the base structure is established based on the structural mass of the base as the objective function. The structural optimization uses the method of combining the optimal design of the pseudo-full-stress structure of discrete variables with the finite element analysis to overcome the limitations of the stress-limited and the size-constrained design in full stress design. Second-level fuzzy comprehensive evaluation is used to determine the optimal horizontal cut-off, so that the fuzzy optimization problem can be transformed into a general optimization problem. The results show that the fuzzy optimal design of the base structure is more reasonable than the non-fuzzy optimal design of the base structure, and the economic benefits are more significant