考虑失效状态模糊性时的笛形管广义共振可靠性分析  

General Resonance Reliability Analysis for Hot-Air Anti-Icing Piccolo Tube with Fuzzy Failure State Considered

作　　者：何新党[1] 苟文选[1] 刘永寿[1] 高宗战[1] 张峰[1] 

机构地区：[1]西北工业大学力学与土木建筑学院飞行器可靠性工程研究所,陕西西安710072

出　　处：《西北工业大学学报》2014年第2期262-267,共6页Journal of Northwestern Polytechnical University

基　　金：航空科学基金(2011ZA53014);西北工业大学基础研究基金(JCY20130123);西北工业大学研究生创业种子基金(Z2014119);高等学校博士学科点专项科研基金(20136102120032)资助

摘　　要：研究了模糊失效状态下气热防冰笛形管结构共振可靠性分析方法。建立了笛形管结构的参数化有限元模型并进行了模态分析。考虑结构尺寸参数、材料性能、外部激励的随机性以及共振状态的模糊性,采用模糊集合理论描述结构固有频率与外部激励的接近程度,建立了三角型隶属函数下的广义共振可靠性分析模型。基于分解定理和扩展定理推导了λ水平截集下笛形管结构广义共振可靠性求解方法。研究工作对飞机气热防冰管路的结构设计提供了参考。A new general resonance reliability analysis method is proposed for hot-air anti-icing piccolo tube with fuzzy failure state considered. Firstly, a parametric model of hot-air anti-icing piccolo tube is built and the modal a-nalysis is performed. After that, considering the randomness of the size parameters, material properties and external excitation as well as the subjective fuzziness of resonance state, we characterized the closeness of structural natural frequency to that of the external stimulus with a fuzzy number. And then a general resonance reliability analysis model was built with a triangular membership function. On the basis of the decomposition theorem and the expansion theorem, we derive the generalized resonance reliability solution method under the level set. The research appears to provide some useful information for the structural design of hot-air anti-icing piccolo tube.

关 键 词：有限元方法 模糊集理论 隶属函数 模态分析 固有频率 参数化 概率 可靠性分析 共振 结构设计 广义失效概率 笛形管 共振可靠性 

分 类 号：TJ760.3[兵器科学与技术—武器系统与运用工程]