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基于自适应稀疏混沌多项式的鲁棒性优化方法
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作者 郭振东 李豪杰 +2 位作者 宋立明 张华良 尹钊 《航空学报》 EI CAS CSCD 北大核心 2024年第19期107-121,共15页
针对传统混沌多项式面临的“维度灾难”以及依赖实际任务和经验人为给定正交多项式展开阶次等问题,基于相关向量机回归求解展开系数的稀疏解并结合交叉验证判别法,发展了一种基于自适应稀疏混沌多项式的不确定性量化方法。函数算例测试... 针对传统混沌多项式面临的“维度灾难”以及依赖实际任务和经验人为给定正交多项式展开阶次等问题,基于相关向量机回归求解展开系数的稀疏解并结合交叉验证判别法,发展了一种基于自适应稀疏混沌多项式的不确定性量化方法。函数算例测试结果表明,所发展方法相比于传统回归法混沌多项式所需样本更少且精度更高。进一步,将基于自适应稀疏混沌多项式的不确定性量化方法与NSGA-II多目标优化算法及Kriging模型相结合,建立了鲁棒性设计优化框架。考虑加工误差不确定性的影响,以叶栅总压损失系数的均值最小和方差最小为目标函数,完成了某动力涡轮叶栅气动鲁棒性设计优化。优化后,平均总压损失系数有所降低,对加工误差不确定性的敏感性程度显著降低。两个代表优化设计个体总压损失系数均值和方差分别降低了16.41%和98.57%,总压损失系数性能核算分别减小了13.43%和2.82%。最后,对流场进行分析,揭示了优化设计气动性能提高的原因。 展开更多
关键词 不确定性量化 鲁棒性设计优化 混沌多项式 代理模型 动力涡轮 加工误差
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基于非平稳高斯过程的叶栅加工误差不确定性量化 被引量:22
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作者 颜勇 祝培源 +2 位作者 宋立明 李军 丰镇平 《推进技术》 EI CAS CSCD 北大核心 2017年第8期1767-1775,共9页
基于非平稳高斯过程描述叶片加工误差,结合Karhunen-Loeve展开方法,建立了由于加工误差导致的叶片型线几何不确定性表征模型。耦合非嵌入式多项式混沌展开、稀疏网格技术与Reynolds-Averaged Navier-Stokes(RANS)方程求解技术,提出了叶... 基于非平稳高斯过程描述叶片加工误差,结合Karhunen-Loeve展开方法,建立了由于加工误差导致的叶片型线几何不确定性表征模型。耦合非嵌入式多项式混沌展开、稀疏网格技术与Reynolds-Averaged Navier-Stokes(RANS)方程求解技术,提出了叶栅加工误差不确定性量化方法,研究量化了加工误差所导致的叶型几何不确定性对典型高负荷Pak-B叶栅气动性能的影响。结果表明,在加工误差影响下,叶片负荷相对于设计值变化±1%以上的概率为0.56,总压恢复系数相对于设计值降低1%以上的概率为0.12。详细气动分析表明,斜切部分和尾缘的加工制造精度对Pak-B叶栅气动性能影响显著,相应位置的加工误差应严格控制。 展开更多
关键词 非平稳高斯过程 多项式混沌 稀疏网格 加工误差 不确定性量化
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Manufacturing Error Effects on Mechanical Properties and Dynamic Characteristics of Rotor Parts under High Acceleration 被引量:4
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作者 Mei-Hui Jia Cheng-Lin Wang Bin Ren 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2017年第4期920-932,共13页
Stress, strain and vibration characteristics of rotor parts should be changed significantly under high acceleration, manufacturing error is one of the most important reason. However, current research on this prob- lem... Stress, strain and vibration characteristics of rotor parts should be changed significantly under high acceleration, manufacturing error is one of the most important reason. However, current research on this prob- lem has not been carried out. A rotor with an acceleration of 150,000 g is considered as the objective, the effects of manufacturing errors on rotor mechanical properties and dynamic characteristics are executed by the selection of the key affecting factors. Through the force balance equation of the rotor infinitesimal unit establishment, a theoretical model of stress calculation based on slice method is pro- posed and established, a formula for the rotor stress at any point derives. A finite element model (FEM) of rotor with holes is established with manufacturing errors. The chan- ges of the stresses and strains of a rotor in parallelism and symmetry errors are analyzed, which verify the validity of the theoretical model. The pre-stressing modal analysis is performed based on the aforementioned static analysis. The key dynamic characteristics are analyzed. The results demonstrated that, as the parallelism and symmetry errors increase, the equivalent stresses and strains of the rotor slowly increase linearly, the highest growth rate does not exceed 4%, the maximum change rate of natural frequency is 0.1%. The rotor vibration mode is not significantlyaffected. The FEM construction method of the rotor with manufacturing errors can be utilized for the quantitative research on rotor characteristics, which will assist in the active control of rotor component reliability under high acceleration. 展开更多
关键词 High acceleration ROTOR manufacturingerror Stress and strain Dynamic characteristics
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