Multi-field coupling dynamic characteristics based on Kriging interpolation method

Abstract

Multi-field coupling problems are taken more and more attention mainly because of the higher requirement of load, efficiency, and reliability in aero-engine operation. This research takes an aero-engine compressor as the research object, 3D flow field and structural models are established. For the method of cyclic symmetric, single-sector model is selected as the calculation domain. Considering the influence of former stator wakes, compressor flow field is simulated. The article analyzes the distribution law of unsteady aerodynamic load on rotor blade. Based on Kriging model, load transfer of aerodynamic pressure and temperature is achieved from flow field to blade structure. Then the effects of centrifugal force, aerodynamic pressure and temperature load are discussed on compressor vibration characteristic and structural strength. The results show dominant fluctuation frequencies of aerodynamic load on rotor blade are manly at frequency doubling of stator–rotor interaction, especially at one time frequency (1 × f₀). Magnitude and pulsation amplitude on pressure surface are far greater than that on suction surface. Load transfer with Kriging model has a higher precision, it can meet the requirement of multi-field coupling dynamic calculation. In multi-field coupling interaction, temperature load makes the natural vibration frequencies decrease obviously, centrifugal force is the main source of deformation and stress. Bending stress induced by aerodynamic pressure and temperature load can counteract part of bending stress induced by centrifugal force. However, temperature load causes the maximum displacement of blade-disk system to increase.

Keywords

Compressor rotor system cyclic symmetric method Kriging model multi-field coupling analysis dynamic characteristics

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References

Försching

. Grundlagen der aeroelastik, New York: Springer-Verlag, 1974.

Eckert

ERG

. Measurements in heat transfer, Taylor & Francis, 1976.

Carstens

Kemme

Schmitt

. Coupled simulation of flow-structure interaction in turbomachinery. Aerosp Sci Technol 2003; 7: 298–306.

Lau

Leung

RCK

RMC

. Vortex-induced vibration effect on fatigue life estimate of turbine blades. J Sound Vib 2007; 307: 698–719.

Zemp

Abhari

. Numerical study of the heat transfer effect on a centrifugal compressor performance. Proc IMech, Part C: J Mechanical Engineering Science 2015; 229: 2207–2220.

Zhang

. Experimental investigation on a high subsonic compressor cascade flow. Chin J Aeronaut 2015; 28: 1034–1043.

Dechaumphai

Wieting

Thornton

. Flow-thermal-structural study of aerodynamically heated leading edges. J Spacecraft Rockets 1989; 26: 201–209.

Giles

. Stability analysis of numerical interface conditions in fluid–structure thermal analysis. Int J Numer Methods Fluids 1997; 25: 421–436.

Tran

Liauzun

Labaste

. Methods of fluid–structure coupling in frequency and time domains using linearized aerodynamics for turbomachinery. J Fluid Struct 2003; 17: 1161–1180.

10.

Gottfried

Fleeter

. Aerodynamic damping predictions in turbomachines using a coupled fluid–structure model. J Propul Power 2005; 21: 327–334.

11.

Kim

Cho

Song

. Stability analysis of a turbine rotor system with Alford forces. J Sound Vib 2002; 258: 777–790.

12.

Pennacchi

Vania

. Accuracy in the identification of a generator thermal bow. J Sound Vib 2004; 274: 273–295.

13.

Bachschmid

Pennacchi

Vania

. Thermally induced vibrations due to rub in real rotors. J Sound Vib 2007; 299: 683–719.

14.

Pan

. Heat transfer and thermal stress analysis in fluid–structure coupled field. Appl Thermal Eng 2015; 88: 473–479.

15.

Kunz

Siebert

Cope

. A coupled phasic exchange algorithm for three-dimensional multi-field analysis of heated flows with mass transfer. Comput Fluids 1998; 27: 741–768.

16.

Matthies

Niekamp

Steindorf

. Algorithms for strong coupling procedures. Comput Methods Appl Mech Eng 2006; 195: 2028–2049.

17.

Goura

GSL

Badcock

Woodgate

. A data exchange method for fluid–structure interaction problems. Aeronaut J 2001; 105: 215–221.

18.

Baker

Cavallo

. Dynamic adaptation for deforming tetrahedral meshes. AIAA J 1999; 19: 2699–3253.

19.

Dwight

. Robust mesh deformation using the linear elasticity equations. Comput Fluid Dyn. 2009: 401–406.

20.

Stein

Tezduyar

Benney

. Mesh moving techniques for fluid–structure interactions with large displacements. J Appl Mech 2003; 70: 58–63.

21.

Stein

Tezduyar

Benney

. Automatic mesh update with the solid-extension mesh moving technique. Comput Methods Appl Mech Eng 2004; 193: 2019–2032.

22.

Lloyd

Atkinson

. Assessing uncertainty in estimates with ordinary and indicator Kriging. Comput Geosci 2001; 27: 929–937.

23.

Xia

Wang

Kong

. Application of universal Kringing in the discretion of permeability coefficient random field and some existing problems. J Xi'an Shiyou Univ (Nat Sci Ed.) 2007; 2: 021–021.

24.

Launder

. The numerical computation of turbulent flows. Comput Methods Appl Mech Eng 1974; 3: 269–289.

25.

Guevremont

Habashi

Kotiuga

. Finite element solution of the 3D compressible Navier-Stokes equations by a velocity-vorticity method. J Comput Phys 1993; 107: 176–187.

26.

Adamczyk

. Aerodynamic analysis of multistage turbomachinery flows in support of aerodynamic design. J Turbomach 1999; 122: 189–217.

27.

Yakhot

Orszag

. Renormalization group analysis of turbulence. I. Basic theory. J Sci Comput 1986; 1: 3–51.

28.

Shih

Liou

Shabbir

. A new k-ε eddy viscosity model for high reynolds number turbulent flows. Comput Fluids 1995; 24: 227–238.

29.

Stein

. Interpolation of spatial data: some theory for kriging, Springer Science & Business Media, 2012.

30.

Simpson

Mauery

Korte

. Kriging models for global approximation in simulation-based multidisciplinary design optimization. AIAA J 2001; 39: 2233–2241.

31.

Goovaerts

. Geostatistics for natural resources evaluation, Oxford University Press on Demand, 1997.

32.

Chiles

Delfiner

. Geostatistics: modeling spatial uncertainty, John Wiley & Sons, 2009.

33.

Deutsch

. Kriging in a finite domain. Math Geol 1993; 25: 41–52.

34.

Webster

Oliver

. Local estimation or prediction: kriging. Geostat Environ Sci. 2001: 153–194.

35.

Montés

. Local kriging interpolation: application to scattered data on the sphere. Curves Surfaces. 1991: 325–329.

36.

Wong

. Slope reliability and response surface method. J Geotech Eng 1985; 111: 32–53.

37.

Faravelli

. Response–surface approach for reliability analysis. J Eng Mech 1989; 115: 2763–2781.