推进技术 ›› 2017, Vol. 38 ›› Issue (12): 2805-2814.

• 结构 强度 振动 • 上一篇    下一篇

考虑稳态温度场的涡轮叶盘振动特性概率分析

李蔓林1,白广忱1,王鹞伟1,白 斌2   

  1. 北京航空航天大学 能源与动力工程学院,北京 100191,北京航空航天大学 能源与动力工程学院,北京 100191,北京航空航天大学 能源与动力工程学院,北京 100191,北京工业大学 非线性振动和机械结构强度北京市重点实验室,北京 100024
  • 发布日期:2021-08-15
  • 作者简介:李蔓林,女,硕士生,研究领域为结构振动研究及可靠性工程设计。
  • 基金资助:
    国家自然科学基金(51575024)。

Probabilistic Analysis of Vibration Characteristics of Turbine Bladed Disk Considering Steady-State Temperature Field

  1. School of Energy and Power Engineering,Beihang University,Beijing 100191,China,School of Energy and Power Engineering,Beihang University,Beijing 100191,China,School of Energy and Power Engineering,Beihang University,Beijing 100191,China and The Key Laboratory of Nonlinear Vibration and Mechanical Structure Strength in Beijing,Beijing University of Technology,Beijing 100024,China
  • Published:2021-08-15

摘要: 为了研究稳态温度场及离心载荷的随机变化对涡轮叶盘振动特性的影响,利用有限元方法对稳态温度场作用下的涡轮叶盘结构振动特性进行确定性分析。在此基础上,采用含交叉项的二次响应面方法对叶盘结构振动特性进行概率分析,得到稳态温度场下叶盘结构振动特性的概率分布特征,并给出温度场及离心载荷等随机变量对叶盘结构随机性振动的模态频率的影响规律。最后,根据共振考核状态及坎贝尔图,结合转速与频率的相关性提出叶盘随机性振动避共振方法,并在几个典型工况下对叶盘结构随机性振动进行了避共振分析。结果表明,随机参数3%的变化能够导致叶盘共振转速区拓宽50%以上,并造成多个共振转速区重叠现象。

关键词: 涡轮叶盘;稳态温度场;二次响应面法;概率分析;坎贝尔图;避共振分析

Abstract: In order to research the effects of random variation of steady-state temperature field and centrifugal load on vibration characteristics of turbine bladed disk, the certainty analysis of the vibration characteristics of a turbine bladed disk under the steady-state temperature field was conducted by FEM (Finite Element Method). Based on this, the probabilistic analysis of the vibration characteristics of the bladed disk was performed by adopting quadratic response surface method with cross terms. The probability distribution of the vibration characteristics of the bladed disk under steady-state temperature field was obtained and the influence of random variables such as temperature field and centrifugal load on the modal frequency of the random vibration of the bladed disk was presented. Finally, according to the reference state of resonance and Campbell chart, considering the correlation of speed and rotor vibration frequency, the theory of avoiding resonance analysis of the random vibration of the bladed disk was proposed, and the analysis was carried out under several typical operating conditions. The results show that random parameters of 3% variance will lead to over 50% extension of the resonance speed region of the bladed disk and the overlapping of multiple resonance speed regions.

Key words: Turbine bladed disk;Steady-state temperature field;Quadratic response surface method;Probabilistic analysis;Campbell chart;Avoiding resonance analysis