基于网格参数化变形的单级涡轮多学科可靠性设计优化
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摘要
基于自由变形技术发展了一种可以协调实现流场、结构分析网格参数化变形的方法,并实现单级涡轮的多学科可靠性设计优化。针对流场分析网格展向积叠的特征,将三维网格变形转化为不同叶高二维截面的网格变形;根据二维流场分析网格的拓扑结构,设计二维控制面,基于叶型设计参数建立叶型控制点、其他控制点伴随叶型控制点移动,实现了网格的参数化变形,避免了网格畸变、提高了网格变形的质量;不同叶高的二维控制面组成控制体,实现三维流场分析网格的参数化变形。采用相同的控制体进行结构分析网格的变形,实现了耦合界面网格协调变形。基于Kriging代理模型进行单级涡轮的多学科可靠性优化,在满足可靠性约束的情况下效率提高4.97%、寿命提高40.86%,证明了方法的有效性。
On basis of free-form deformation method,aparameterized mesh deformation to morph coordinately fluid analysis mesh and structure analysis mesh was proposed,and reliability-based multidisciplinary design optimization of single turbine stage with parameterized mesh deformation was introduced.According to the extended feature of blade in spanwise direction,the mesh deformation of 3D analysis mesh was translated to the mesh deformation of 2D cross section analysis mesh at different blade height.Control plane for 2D cross section was designed on basis of topological structure of the 2D fluid analysis mesh.The coordinates of blade profile control points were calculated by aerodynamic design parameters.The movements of other control points in 2D control plane were obtained according to the movement of blade profile control points in order to improve the quality of the deformed mesh.The mesh deformation of 3D fluid analysis mesh could be carried out by the control volume composed of 2D control planes at different blade heights.Structure analysis mesh was morphed by using the same control volume for 3D fluid analysis mesh deformation in order to obtain the coordinate mesh deformation on interface mesh.Reliability-based multidisciplinary design optimization with proposed parameterized mesh deformation method was used to optimize single turbine stage.Results showed that the efficiency was improved by 4.97%and the blade life was improved by 40.86%under satisfying the reliability constraint,proving the effectiveness of the developed method.
On basis of free-form deformation method,aparameterized mesh deformation to morph coordinately fluid analysis mesh and structure analysis mesh was proposed,and reliability-based multidisciplinary design optimization of single turbine stage with parameterized mesh deformation was introduced.According to the extended feature of blade in spanwise direction,the mesh deformation of 3D analysis mesh was translated to the mesh deformation of 2D cross section analysis mesh at different blade height.Control plane for 2D cross section was designed on basis of topological structure of the 2D fluid analysis mesh.The coordinates of blade profile control points were calculated by aerodynamic design parameters.The movements of other control points in 2D control plane were obtained according to the movement of blade profile control points in order to improve the quality of the deformed mesh.The mesh deformation of 3D fluid analysis mesh could be carried out by the control volume composed of 2D control planes at different blade heights.Structure analysis mesh was morphed by using the same control volume for 3D fluid analysis mesh deformation in order to obtain the coordinate mesh deformation on interface mesh.Reliability-based multidisciplinary design optimization with proposed parameterized mesh deformation method was used to optimize single turbine stage.Results showed that the efficiency was improved by 4.97%and the blade life was improved by 40.86%under satisfying the reliability constraint,proving the effectiveness of the developed method.
引文
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[2]SOBIESZCZANSKISOBIESKI J,HAFTKA R T.Multidisciplinary aerospace design optimization:survey of recent developments[J].Structural and Multidisciplinary Optimization,1997,14(1):1-23.
[3]FAZELEY H R,TAEI H,NASEH H,et al.A multi-objective,multidisciplinary design optimization methodology for the conceptual design of a spacecraft bi-propellant propulsion system[J].Structural and Multidisciplinary Optimization,2016,53(1):145-160.
[4]刘楠溪,白俊强,华俊,等.考虑排放影响的飞机多学科优化设计[J].航空学报,2017,38(1):163-176.LIU Nanxi,BAI Junqiang,HUA Jun,et al,Multidisciplinary design optimization incorporating aircraft emission impacts[J].Acta Aeronautica et Astronautica Sinica,2017,38(1):163-176.(in Chinese)
[5]李磊,杨子龙,王佩艳,等.燃气轮机涡轮冷却叶片设计及优化[M].北京:科学出版社,2018.
[6]闫成,尹泽勇,郭福水,等.基于MDO策略的民用航空发动机概念设计研究[J].航空动力学报,2017,32(8):1911-1921.YAN Cheng,YIN Zeyong,GUO Fushui,et al.Research on the conceptual design of a civil aero-engine based on MDOstrategies[J].Journal of aerospace power,2017,38(8):1911-1921.(in Chinese)
[7]LIU X,YUAN Q,ZHAN M,et al.Multiple objective multidisciplinary design optimization of heavier-than-water underwater vehicle using CFD and approximation model[J].Journal of Marine Science and Technology,2017,22(1):135-148.
[8]POIRIER V,NADARAJAH S.Efficient reduced-radial basis function-based mesh deformation within an adjointbased aerodynamic optimization framework[J].Journal of Aircraft,2016,53(6):1-17.
[9]MARTIN-BURGOS M J,GONZLEZ-JUREZ D,ANDRS-PREZ E.A novel surface mesh deformation method for handling wing-fuselage intersections[J].Chinese Journal of Aeronautics,2017,30(1):264-273.
[10]周璇,李水乡,孙树立,等.非结构网格变形方法研究进展[J].力学进展,2011,41(5):547-561.ZHOU Xuan,LI Shuixiang,SUN Shuli,et al.Advance in the research on unstructured mesh deformation[J].Advances in Mechanics,2011,41(5):547-561.(in Chinese)
[11]GAGNON H,ZINGG D W.Two-level free-form and axial deformation for exploratory aerodynamic shape optimization[J].AIAA Journal,2015,53(7):1-12.
[12]ZHANG Z J,KHOSRAVI S,ZINGG D W.High-fidelity aerostructural optimization with integrated geometry parameterization and mesh movement[R].AIAA-2015-1132,2015.
[13]李立州,王婧超,韩永志,等.基于网格变形技术的涡轮叶片变形传递[J].航空动力学报,2007,22(12):2101-2104.LI Lizhou,WANG Jingchao,HAN Yongzhi,et al.Displacement transfer with the mesh deformation method in multidisciplinary optimization of turbine blades[J].Journal of Aerospace Power,2007,22(12):2101-2104.(in Chinese)
[14]LI R,XU P,PENG Y,et al.Multi-objective optimization of a high-speed train head based on the FFD method[J].Journal of Wind Engineering and Industrial Aerodynamics,2016,152:41-49.
[15]BATINA J T.Unsteady Euler airfoil solutions using unstructured dynamic meshes[J].AIAA Journal,1990,28(8):1381-1388.
[16]SUN X,ZHANG J Z.An r-adaptive technique for unstructured grids based on the segment spring analogy method[J].International Journal of Computational Methods,2015,12(1):1-17.
[17]HUO S H,WANG F S,YAN W Z,et al.Layered elastic solid method for the generation of unstructured dynamic mesh[J].Finite Elements in Analysis and Design,2010,46(10):949-955.
[18]PROIETTI D,PRANZITELLI A,ANDREWS G E,et al.Multi-objective CFD optimisation of shaped hole film cooling with mesh morphing[R].ASME Paper GT2015-42249,2015.
[19]姚拴宝,郭迪龙,杨国伟.基于径向基函数网格变形的高速列车头型优化[J].力学学报,2013,45(6):982-986.YAO Shuanbao,GUO Dilong,YANG Guowei.Aerodynamic optimization of high-speed train based on RBF mesh deformation[J].Chinese Journal of Theoretical and Applied Mechanics,2013,45(6):982-986.(in Chinese)
[20]TRUONG A H,OLDFIELD C A,ZINGG D W.Mesh movement for a discrete-adjoint Newton-Krylov algorithm for aerodynamic optimization[J].AIAA Journal,2008,46(7):1695-1704.
[21]HICKEN J E,ZINGG D W.Aerodynamic optimization algorithm with integrated geometry parameterization and mesh movement[J].AIAA Journal,2010,48(2):400-413.
[22]SEDERBERG T W,PARRY S R.Free-form deformation of solid geometric models[J].Association for Computer Machinery(ACM)Transaction on Graphics,1986,20(4):151-160.
[23]汪怡平,王涛,黎帅.基于自由变形技术的汽车气动减阻优化[J].机械工程学报,2017,53(9):135-143.WANG Yiping,WANG Tao,LI Shuai.Aerodynamic drag reduction of vehicle based on free form deformation[J].Journal of Mechanical Engineering,2017,53(9):135-143.(in Chinese)
[24]GAGNON H,ZINGG D W.Two-level free-form and axial deformation for exploratory aerodynamic shape optimization[J].AIAA Journal,2015,53(7):1-12.
[25]皮尔,特莱尔.非均匀有理B样条[M].2版.赵罡,穆国旺,王拉柱,译.北京:清华大学出版社,2010.
[26]于明,刘永寿,李磊,等.基于双循环的离心叶轮多学科可靠性优化设计[J].航空学报,2012,33(4):650-657.YU Ming,LIU Yongshou,LI Lei,et al.Reliability-based multidisciplinary design optimization of centrifugal impeller with double-loop strategy[J].Acta Aeronautica et Astronautica Sinica,2012,33(4):650-657.(in Chinese)
[27]李磊,李元生,敖良波,等.船用大功率柴油机涡轮增压器多学科设计优化[M].北京:科学出版社,2011.
[28]安德森.计算流体力学入门[M].姚朝晖,周强,译.北京:清华大学出版社,2010.
[29]《中国航空材料手册》编辑委员会.中国航空材料手册[M].北京:清华大学出版社,2013.
[30]李磊,于明,李元生,等.学科间信息传递的参数化空间散乱数据插值法[J].航空制造技术,2011(9):77-81.LI Lei,YU Ming,LI Yuansheng,et al.Parameterized space scattered data interpolation method for interdisciplinary information transfer[J].Aeronautical Manufacturing Technology,2011(9):77-81.(in Chinese)
[31]姚卫星.结构疲劳寿命分析[M].北京:国防工业出版社,2003.
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