论文:2014,Vol:32,Issue(4):624-629
引用本文:
张萌, 陆山. 凸肩叶片抗共振的模糊可靠性评估方法[J]. 西北工业大学
Zhang Meng, Lu Shan. Fuzzy Reliability Assessment Method of Shrouded Blades for Avoiding Resonance[J]. Northwestern polytechnical university

凸肩叶片抗共振的模糊可靠性评估方法
张萌, 陆山
西北工业大学 动力与能源学院, 陕西 西安 710072
摘要:
分析了凸肩叶片固有频率的模糊性,并提出一种确定模糊隶属函数的统计分析方法;利用截集理论,建立了凸肩叶片抗共振模糊可靠性模型,并分别以均匀分布和线性分布为截集分布,给出了模型计算的数值方法。同时通过分析指出:常规可靠性模型是模糊可靠性模型的特例,模糊可靠性模型是对常规可靠性模型的补充和延伸。最后应用文中模糊模型,对凸肩风扇叶片抗共振可靠度予以计算,结果表明:文中提出的模糊方法对固有频率中值估计值和各拟合参数都具有较好的稳定性;且考虑了固有频率的模糊性后,模糊方法的可靠度估计结果小于常规方法的估计结果。
关键词:    凸肩叶片    模糊可靠性    固有频率    隶属函数    截集   
Fuzzy Reliability Assessment Method of Shrouded Blades for Avoiding Resonance
Zhang Meng, Lu Shan
Department of Aero-Engines, Northwestern Polytechnical University, Xi'an 710072, China
Abstract:
The fuzziness of shrouded blades' natural frequency was considered and a statistics analysis method was proposed to determine the fuzzy membership function. The fuzzy reliability model for avoiding resonance was also es-tablished based on the truncated subset theory in fuzzy mathematics. A numerical calculation method was then pro-posed by introducing uniform distribution and linear distribution into truncated subsets respectively. Meanwhile, it was pointed out that the conventional reliability model is a special case of the fuzzy reliability model, while the fuzzy reliability model is the improvement and extension of the conventional reliability model when the system has fuzzi-ness. Finally, the fuzzy model was applied to calculating the reliability of shrouded fan blades to avoid resonance. The results and their analysis show preliminarily that the proposed fuzzy method is stable for the mean estimation of natural frequency and the fitting parameters. It is also shown that the fuzzy estimations are smaller than the conven-tional estimation because the fuzziness of naturgl frequency was considered in the fuzzy model.
Key words:    calculations    computer simulation    damping    estimation    membership functions    natural frequencies    resonance    reliability    set theory    statistical methods    turbomachine blades    fuzzy reliability    shrouded blades    truncated subsets   
收稿日期: 2013-04-16     修回日期:
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作者简介: 张萌(1986-),女,西北工业大学博士研究生,主要从事系统可靠性分析、振动模糊可靠性研究。
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