摘要
提出了采用模糊数学理论和有限元法相结合建立具有静、动态模糊约束的大规格数控车床床身结构优化数学模型新方法.该方法将模糊逻辑推理理论运用于床身结构灵敏度分析中,构建了灵敏度模糊集,实现了最佳模糊设计变量的选取,并应用一种改进的最优向量水平截集法评估模糊约束的重要性,避免了最优解的丢失.优化结果表明,采用所提模糊有限元优化方法可求得比常规优化方法更为合理的数学解,能体现工程问题的模糊性,为复杂机械大件结构的优化设计进行了有益的探索.
A new approach to building the mathematical model of large-sized CNC lathe bed with static and dynamic fuzzy constraints was presented by combining the fuzzy theory with finite element method.Based on sensitive analysis of the bed structure,fuzzy logic inference was applied to constructing the fuzzy set of sensitivity to determine the optimal group of fuzzy design variables.An improved optimal vector level cut set method was induced to distinguish the effects of fuzzy constraints,so the optimal solution would not be lost.The analytical results show that using fuzzy finite element method,a more reasonable solution than one by using the conventional optimum method can be obtained.This method can reflect the fuzziness of engineering problem,and it also can do beneficial exploration for optimization design of complex large-sized structure.
出处
《大连理工大学学报》
EI
CAS
CSCD
北大核心
2011年第3期355-362,共8页
Journal of Dalian University of Technology
基金
国家自然科学基金资助项目(50675027)
关键词
模糊有限元
灵敏度分析
模糊逻辑推理
向量水平截集
fuzzy finite element
sensitive analysis
fuzzy logic inference
vector level cut set
