Reliability and sensitivity analyses of HPT blade-tip radial running clearance using multiply response surface model

To reasonably design the blade-tip radial running clearance(BTRRC) of high pressure turbine and improve the performance and reliability of gas turbine, the multi-object multi-discipline reliability sensitivity analysis of BTRRC was accomplished from a probabilistic prospective by considering nonlinear material attributes and dynamic loads. Firstly, multiply response surface model(MRSM) was proposed and the mathematical model of this method was established based on quadratic function. Secondly, the BTRRC was decomposed into three sub-components(turbine disk, blade and casing), and then the single response surface functions(SRSFs) of three structures were built in line with the basic idea of MRSM. Thirdly, the response surface function(MRSM) of BTRRC was reshaped by coordinating SRSFs. From the analysis, it is acquired to probabilistic distribution characteristics of input-output variables, failure probabilities of blade-tip clearance under different static blade-tip clearances δ and major factors impacting BTRRC. Considering the reliability and efficiency of gas turbine, δ=1.87 mm is an optimally acceptable option for rational BTRRC. Through the comparison of three analysis methods(Monte Carlo method, traditional response surface method and MRSM), the results show that MRSM has higher accuracy and higher efficiency in reliability sensitivity analysis of BTRRC. These strengths are likely to become more prominent with the increasing times of simulations. The present study offers an effective and promising approach for reliability sensitivity analysis and optimal design of complex dynamic assembly relationship.

Distributed Collaborative Response Surface Method for Mechanical Dynamic Assembly Reliability Design

Because of the randomness of many impact factors influencing the dynamic assembly relationship of complex machinery, the reliability analysis of dynamic assembly relationship needs to be accomplished considering the randomness from a probabilistic perspective. To improve the accuracy and efficiency of dynamic assembly relationship reliability analysis, the mechanical dynamic assembly reliability（MDAR） theory and a distributed collaborative response surface method（DCRSM） are proposed. The mathematic model of DCRSM is established based on the quadratic response surface function, and verified by the assembly relationship reliability analysis of aeroengine high pressure turbine（HPT） blade-tip radial running clearance（BTRRC）. Through the comparison of the DCRSM, traditional response surface method（RSM） and Monte Carlo Method（MCM）, the results show that the DCRSM is not able to accomplish the computational task which is impossible for the other methods when the number of simulation is more than 100 000 times, but also the computational precision for the DCRSM is basically consistent with the MCM and improved by 0.40-4.63% to the RSM, furthermore, the computational efficiency of DCRSM is up to about 188 times of the MCM and 55 times of the RSM under 10000 times simulations. The DCRSM is demonstrated to be a feasible and effective approach for markedly improving the computational efficiency and accuracy of MDAR analysis. Thus, the proposed research provides the promising theory and method for the MDAR design and optimization, and opens a novel research direction of probabilistic analysis for developing the high-performance and high-reliability of aeroengine.

Distributed collaborative extremum response surface method for mechanical dynamic assembly reliability analysis

To make the dynamic assembly reliability analysis more effective for complex machinery of multi-object multi-discipline(MOMD),distributed collaborative extremum response surface method(DCERSM)was proposed based on extremum response surface method(ERSM).Firstly,the basic theories of the ERSM and DCERSM were investigated,and the strengths of DCERSM were proved theoretically.Secondly,the mathematical model of the DCERSM was established based upon extremum response surface function(ERSF).Finally,this model was applied to the reliability analysis of blade-tip radial running clearance(BTRRC)of an aeroengine high pressure turbine(HPT)to verify its advantages.The results show that the DCERSM can not only reshape the possibility of the reliability analysis for the complex turbo machinery,but also greatly improve the computational speed,save the computational time and improve the computational efficiency while keeping the accuracy.Thus,the DCERSM is verified to be feasible and effective in the dynamic assembly reliability(DAR)analysis of complex machinery.Moreover,this method offers an useful insight for designing and optimizing the dynamic reliability of complex machinery.

高压涡轮叶尖径向运行间隙非线性动态分析

为了改善航空发动机整体性能和可靠性,以航空发动机从地面起动到巡航过程为研究对象,采用热-固耦合分析方法,对涡轮转子叶尖径向运行间隙(BTRRC,Blade-tip Radial Running Clearance)进行动态分析。在分析中考虑了材料属性的非线性和温度载荷、离心载荷的动态性,分别对涡轮的叶片、盘和机匣的变形进行计算和分析,得到了涡轮叶尖径向运行间隙的变化规律,以及BTRRC最小点(可选择t=180 s)和最小值(约0.18 mm),为进行进一步涡轮叶尖径向运行间隙的动态概率分析和动态优化设计奠定了基础。

高压涡轮叶尖径向运行间隙概率设计

为了改善高压涡轮叶尖径向运行间隙(BTRRC,Blade-Tip Radial RunningClearance)设计和控制合理性,考虑典型载荷下的热载荷和机械载荷和合理选取随机变量,在确定性分析基础上对BTRRC进行了概率设计.通过确定性分析,得出涡轮盘、叶片和机匣的径向变形以及BTRRC随时间变化规律,并找出危险点(t=180 s)作为概率设计的计算点.通过概率分析,不但得到了各部件径向变形的概率分布特征及不同稳态叶尖间隙δ下的失效数、失效概率和可靠度,还找到了影响它们径向变形和BTRRC的主要因素.综合考虑航空发动机可靠性和效率,将δ设定为1.95mm为宜,满足设计和工程要求,为BTRRC的控制和设计提供了依据.

滚动轴承的“跨步跳动”

经典轴承分析理论由于把滚动体载荷分布处理成连续变量,因而忽略了滚动体离散性所引起的轴承振动。当滚动体通过承载区时,由于受压滚动体数目的奇偶性变化而使轴承产生周期性振动,分析了这种振动的幅值和径向游隙的影响,并提出了"奇压"、"偶压"现象和"跨步跳动"概念。

高压涡轮瞬态叶尖径向运行间隙计算分析

为了改善现代航空发动机整体性能和可靠性,将热分析和结构分析耦合起来,以航空发动机从地面启动到巡航这一过程为研究对象,对涡轮转子进行瞬态叶尖径向运行间隙计算分析。在计算中考虑了材料、温度和离心载荷的非线性,以及惯性力和温度的复杂的边界条件,分别对叶片、轮盘和机匣的变形进行计算和分析,进而得出涡轮叶尖径向运行间隙的变化规律以及与试验相符合的计算结果。该计算分析方法为涡轮叶尖径向运行间隙的概率分析和优化设计奠定了基础。

驱动装置轴窜量的控制

叙述了驱动装置轴承失效产生的主要原因,轴窜量控制不当以及轴窜量过大或过小引起轴向游隙变化的不良后果,轴窜量的确定,控制轴窜量的措施等。

基于DCRSM的HPT叶尖径向运行间隙可靠性分析

为了有效地进行航空发动机高压涡轮(HPT)叶尖径向运行间隙(BTRRC)设计,从概率的角度进行BTRRC的可靠性分析。根据BTRRC的结构特点,提出了高精度、高效率可靠性分析的分布式协同响应面法(DCRSM),以二次响应面函数为基础建立了DCRSM数学模型,并将DCRSM应用到航空发动机HPT BTRRC的可靠性分析中加以验证。结果显示:当稳态叶尖间隙δ=1.86mm时,BTRRC的可靠度为0.996 8,综合考虑发动机效率和可靠性,基本上满足BTRRC的设计和工程需要。通过方法比较显示了DCRSM在BTRRC可靠性分析中,不但能解决难以分析的问题,还能在保证计算精度的前提下提高计算速度和计算效率;充分验证了DCRSM在BTRRC可靠性分析中的有效性和可行性,为复杂机械可靠性分析和优化提供了有效依据。