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基于DCERSM叶尖径向间隙的多构件多物理场的瞬态概率分析

ransient probabilistic analysis for turbine blade-tip radial clearance with multi-component and multi-physics fields based on DCERSM

中文摘要英文摘要

为了使航空发动机高性能和高工作效率,围绕高压涡轮叶尖径向运行间隙(BRRC)概率分析,在深入研究二次函数响应面的基础上,提出复杂涡轮机械动态概率分析的分布式协同极值响应面方法(DCERSM)。在极值响应面方法的基础上,基于二次多项式函数建立了DCERSM的数学模型。考虑涡轮盘、叶片、机匣3个装配对象和转子动力学、传热学2个学科,基于DCERSM完成BRRC瞬态概率分析。结果表明:综合考虑航空发动机工作效率和高压涡轮可靠性,叶尖径向稳态间隙δ=1.82 mm 是最合理的,得到了BRRC的可靠性、分布特征和失效概率。此外,转子转速和燃气温度是最重要的影响因素,膨胀系数和表面换热系数对BRRC的变化也有重要的影响。通过DCERSM与极值响应面方法、Monte Carlo法比较显示:DCERSM能在保证计算精度的前提下提高了计算效率,为复杂涡轮机械动态概率分析提供了可能性。DCERSM的提出也为叶尖径向运行间隙的多对象多学科的动态概率设计与优化提供了基础。本文也丰富和发展了机械可靠性设计理论和方法。

gainst the background of the probabilistic analysis for High Pressure Turbine (HPT) Blade-tip Radial Running Clearance (BRRC) to achieve the high-performance and high-reliability of aeroengine, Distributed Collaborative Extremum Response Surface Method (DCERSM) was proposed for the dynamic probabilistic analysis of complex turbomachinery on the foundation of quadratic polynomials response surface model. On the basis of deeply investigating Extremum Response Surface method (ERSM), the mathematical model of DCERSM was established based on quadratic polynomial function. As illustrated in BRRC transient probabilistic analysis with multiple components and multi-physics fields based on DCERSM, blade-tip radial static clearance δ=1.82 mm is advisable synthetically considering the reliability and working efficiency of gas turbine. The reliability, distribution characteristics and failure probability of BRRC are obtained. Besides, rotational speed ω and gas temperature T are the most important factors and expansivity coefficients and surface coefficients of heat transfer show also important influence on BRRC variation. Through the comparison of three methods (DCERSM, ERSM, Monte Carlo method), it is demonstrated that DCERSM reshapes the possibility of complex turbomachinery probabilistic analysis and improves computing efficiency while preserving the accuracy. DCERSM offers a useful insight for BRRC dynamic reliability design and optimization with multi-object and multi-discipline. The efforts of this study also enrich the theory and method of mechanical reliability design.

郭瑞辰、费成巍、白广忱

热力工程、热机航空

高压涡轮叶尖径向运行间隙动态概率分析分布式协同极值响应面方法多对象多学科

High pressure turbineBlade-tip radial running clearanceDynamic probabilistic analysisDistributed collaborative extremum response surface methodMulti-object multi-disciplinary

郭瑞辰,费成巍,白广忱.基于DCERSM叶尖径向间隙的多构件多物理场的瞬态概率分析[EB/OL].(2015-11-26)[2025-08-16].http://www.paper.edu.cn/releasepaper/content/201511-653.点此复制

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