基于区间不确定性的涡轮盘强度可靠性优化设计

推进技术 ›› 2013, Vol. 34 ›› Issue (7): 962-967.

基于区间不确定性的涡轮盘强度可靠性优化设计

方鹏亚,常新龙,胡宽,赖建伟,龙兵

第二炮兵工程大学动力工程系,陕西西安 710025;第二炮兵工程大学动力工程系,陕西西安 710025;第二炮兵工程大学动力工程系,陕西西安 710025;第二炮兵工程大学动力工程系,陕西西安 710025;第二炮兵工程大学动力工程系,陕西西安 710025

发布日期:2021-08-15
作者简介:方鹏亚(1986—),男,博士生,研究领域为失效物理与可靠性。E-mail:pyfang12@163.com
基金资助:
陕西省自然科学基金(2011JQ6007)。

Reliability Optimization Design for Turbine Disk Strength Based on Interval Uncertainty

Power Engineering Department,The Second Artillery Engineering University, Xi’an 710025,China;Power Engineering Department,The Second Artillery Engineering University, Xi’an 710025,China;Power Engineering Department,The Second Artillery Engineering University, Xi’an 710025,China;Power Engineering Department,The Second Artillery Engineering University, Xi’an 710025,China;Power Engineering Department,The Second Artillery Engineering University, Xi’an 710025,China

Published:2021-08-15

摘要/Abstract

摘要： 针对涡轮盘在初期设计过程中可利用试验数据少的问题,采用区间模型描述不确定性,以非概率可靠性模型描述可靠性,提出了基于区间不确定性的涡轮盘强度可靠性优化设计方法。同时,为了提高该方法的计算效率,提出两级分阶段构造法,建立非概率可靠性指标关于设计变量的响应面函数,并以此响应面函数表征可靠性约束,从而将可靠性优化设计的双重优化过程转化为单重优化过程,简化了算法结构。典型涡轮盘强度可靠性优化设计算例结果表明,所提方法降低了对试验数据量的需求,且计算成本较低,计算效果较好,能够较好适用于涡轮盘的初期设计。 

关键词: 涡轮盘;有限元分析;区间不确定性;响应面法;可靠性优化设计 

Abstract: Aiming at the problem that the experimental data is lack in the initial design stage of the turbine disk, the reliability optimization design method for turbine disk strength based on interval uncertainty was developed, in which the uncertainty and reliability were represented with interval model and non-probabilistic reliability model, respectively. Moreover, to improve the computational efficiency of this method, the reliability restriction is characterized by the response surface function of the non-probabilistic reliability index through two-level phased formulation, which converts the double loop structure of the reliability optimization into the single loop structure, and therefore simplifies the algorithm structure. At last, the reliability optimization design for typical turbine disk strength was applied as the numerical example. The results show that the method presented can reduce the demand of the experimental data.In addition it has lower computational cost and good computational effect.This method is adaptive to the initial design of the turbine disk.

Key words: Turbine disk; Finite element analysis; Interval uncertainty; Response surface method; Reliability optimization design

方鹏亚,常新龙,胡宽,赖建伟,龙兵. 基于区间不确定性的涡轮盘强度可靠性优化设计[J]. 推进技术, 2013, 34(7): 962-967.

FANG Peng-ya, CHANG Xin-long, HU Kuan, LAI Jian-wei, LONG Bing. Reliability Optimization Design for Turbine Disk Strength Based on Interval Uncertainty[J]. Journal of Propulsion Technology, 2013, 34(7): 962-967.

参考文献

[1] 黄章俊,王成恩.基于Kriging模型的涡轮盘优化设计方法[J].计算机集成制造系统,2010,6(5):905-911.
[2] Elishakoff I .Essay on Uncertainties in Elastic and Viscoelastic Structures:From A M Freudenthal’s Criticisms to Modern Convex Modeling[J].Computers & Structures, 1995,6(6):871-895.
[3] Mon D L, Cheng C H.Fuzzy System Reliability Analysis for Components with Different Membership Functions[J].Fuzzy Sets and Systems, 1994,4(2):145-157.
[4] Lu Z Z, Yue Z F, Feng Y W.General Failure Probability Simulation an Application for Multi-modes[J].Applied Mathematics and Mechanics, 2000,1(4):425-432.
[5] Cremona C, Gao Y.The Possibilistic Reliability Theory:Theoretical Aspects and Applications[J].Structural Safety, 1997,9(2):173-201.
[6] Qiu Zhiping, Chen Suhuan, Elishakoff I.Non-probabilistic Eigenvalue Problem for Structures with Uncertain Parameters via Interval Analysis[J].Chaos, Solitons and Fractals, 1996,7(3):303-308.
[7] Rao S S, Berke L.Analysis of Uncertain Structural Systems Using Interval Analysis[J].AIAA Journal, 1997,5(4):727-735.
[8] Muhanna R L, Mullen R L .Uncertainty in Mechanics Problems-Interval-Based Approach[J].Journal of Engineering Mechanics, 2001,7(6):557-566.
[9] 邱志平,王晓军,马智博．结构疲劳寿命估计的集合理论模型[J]．固体力学学报,2006,27(1):91-97.
[10] 郭书祥,吕震宙,冯元生．基于区间分析的结构非概率可靠性模型[J]．计算力学学报,2001,18(1):56-60.
[11] Scott A.Uebelhart.Non-Deterministic Design and Analysis of Parameterized Optical Structures During Conceptual Design[D].Massachusetts:The Massachusetts Institute of Technology,2006.
[12] 刘晓路,陈英武,荆显荣,等．优化拉丁方试验设计方法及其应用[J]．国防科技大学学报,2011,33(5):73-77.
[13] 赵选民．试验设计方法[M]．北京:科学出版社,2006.
[14] 朱雄峰．飞行器MDO代理模型理论与应用研究[D]．长沙:国防科学技术大学,2010
[15] 陆山,李伦未.航空发动机高负荷涡轮盘双辐板结构优化设计[J].推进技术, 2011,2(5):631-636(LU Shan,LI Lun-wei .Twin-Web Structure Optimization Design for Heavy Duty Turbine Disk Based for Aero-Engine[J].Journal of Propulsion Technology, 2011,2(5):631-636.)