基于名义极限因子和降维方法的涡轮盘结构可靠性优化
Nominal limit state factor and dimension reduction method in reliability optimization for turbine disk
-
摘要: 结合名义极限因子方法完全实现了可靠性分析与优化过程的解耦,使可靠性分析成为进行优化之前的预分析过程,而在预分析中采用的基于降维的可靠性分析技术,在一阶可靠度方法(FORM)获得的计算结果的基础上进行适量的数值计算就能够提高可靠性分析的结果.最后,以某涡轮盘结构优化为例对提出的方法可行性和效率进行了验证,结果表明:该方法在优化效率上比传统的双循环优化过程(DLP)方法要高,更接近确定性优化的水平.Abstract: Computing intensity and cost consuming are two important difficulties in reliability-based design optimization (RBDO).the single-looping optimization (SLO) methods and the double-looping optimization (DLO) methods cannot deal with them.Some based on the inverse most probable point (MPP) transforms the probabilistic constraints to deterministic constraints,but they cannot decouple the two procedures including reliability analysis and optimization,in additional,there are too large errors because of using the first order reliability methods(FORM) in the methods to be adaptive in aero-engine design.The nominal limit state factor method was proposed that can decouple the two procedures of reliability analysis and optimization and can make the reliability analysis become a pre-procedure before optimization.Moreover,the uni-variate dimension reduction method was used to obtain accurate probability of failure that only requires the results of FORM in previous reliability analysis.Finally,an example on structure optimization for turbine disk was given to illustrate that the proposed methods are more efficient than the DLP method and are close to the deterministic optimization in efficiency.
-
[1] Chen X,Hasselman T K,Neill D.Reliability based structural design optimization for practical applications .AIAA-1997-1403,1997. [2] Liang J,Mourelatos Z P,Tu J.A single-loop method for reliability-based design optimization //ASME 2004 Design Engineering Technical Conferences and Computers and Information in Engineering Conference.Salt Lake City UT,USA:ASME,2004. [3] Shan S,Wang G G.Reliable design space and complete single-loop reliability-based design optimization[J].Reliability Engineering and System Safety,2008,93(8):1218-1230. [4] Du X,Sudjianto A,Chen W.An integrated framework for probabilistic optimization using inverse reliability strategy //ASME 2003 Design Engineering Technical Conferences and Computers and Information in Engineering Conference.Chicago IL,USA:ASME,2003. [5] Ching J,Hsu W C.Transforming reliability limit-state constraints into deterministic limit-state constraints[J].Structural Safety,2008,30(1):11-33. [6] Ching J,Hsu W C.Approximate optimization of systems with high-dimensional uncertainties and multiple reliability constraints[J].Comput.Methods Appl.Mech.Engrg.,2008,198(1):52-71. [7] Naess A,Leira B J,Batsevych O.System reliability analysis by enhanced Monte Carlo simulation[J].Structural Safety,2009,31(5):349-355. [8] Frank G.Adaptive radial-based importance sampling method for structural reliability[J].Structural Safety,2008,30(6):533-542. [9] Au S K.Reliability-based design sensitivity by efficient simulation[J].Computers and Structures 2005,83(14):1048-1061. [10] Melchers R E,Ahammed M.A fast approximate method for parameter sensitivity estimation in Monte Carlo structural reliability[J].Computers and Structures,2004,82(1):55-61. [11] Manolis P,Nikos D L.Reliability-based structural optimization using neural networks and Monte Carlo simulation[J].Comput.Methods Appl.Mech.Engrg.,2002,191(32):3491-3507. [12] Rahman S,Xu H.A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics[J].Probabilistic Engineering Mechanics,2004,19(4):393-408. [13] Rahman S,Wei D.A univariate approximation at most probable point for higher-order reliability analysis[J].International Journal of Solids and Structures,2006,43(9):2820-2839. [14] Lee I,Choi K K,Du L,et al.Inverse analysis method using MPP-based dimension reduction for reliability-based design optimization of nonlinear and multi-dimensional systems[J].Comput.Methods Appl.Mech.Engrg.,2008,198(1):14-27.
点击查看大图
计量
- 文章访问数: 1523
- HTML浏览量: 1
- PDF量: 10
- 被引次数: 0