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为了探究航空发动机失调叶盘结构的固有频率在不同随机参数下的分布规律,建立了叶盘结构的有限元模型,对各随机变量选取了不同的失调程度。利用拉丁超立方抽样与响应面相结合的方法,对不同结构参数、工况下的叶盘固有频率进行了概率分析,得到了其在不同失调情况下的分布特性以及对各输入参数的灵敏度。利用工程振动理论建立了结构共振失效的极限方程,给出了叶盘结构在随机频率的激振力下的抗共振可靠度的计算方法,并对不同材料属性参数失调程度下的叶盘抗共振可靠度进行了计算,得出了叶盘抗共振可靠度在不同程度的材料属性失调下的变化规律。
In order to explore the natural frequency distribution of aero-engine offset leaf disc structure under different random parameters, a finite element model of leaf disc structure was established, and different degrees of mismatch were selected for each random variable. Using the combination of Latin hypercube sampling and response surface, the probability of leaf disc natural frequency under different structural parameters and operating conditions was analyzed. The distribution characteristics and the sensitivity to various input parameters were obtained under different misalignments. The limit equation of structural resonance failure is established by using engineering vibration theory. The calculation method of the anti-resonance reliability of leaf disc structure under the exciting force of random frequency is given. The leaf disc anti-resonance The reliability of the leaf disc was calculated, and the change rule of the anti-resonance reliability of the leaf disc under different degrees of material property misalignment was obtained.