0
Research Papers

Combined Airfoil and Snubber Design Optimization of Turbine Blades With Respect to Friction Damping

[+] Author and Article Information
Matthias Hüls

Siemens AG,
Mellinghofer Straße 55,
Mülheim a. d. Ruhr 45473, Germany
e-mail: matthias.huels@siemens.com

Lars Panning-von Scheidt

Institute of Dynamics and Vibration Research,
Leibniz University Hannover,
Hannover 30167, Germany
e-mail: panning@ids.uni-hannover.de

Jörg Wallaschek

Institute of Dynamics and Vibration Research,
Leibniz University Hannover,
Hannover 30167, Germany
e-mail: wallaschek@ids.uni-hannover.de

1Corresponding author.

Manuscript received March 1, 2018; final manuscript received June 25, 2018; published online July 26, 2018. Assoc. Editor: Rakesh Srivastava.

J. Turbomach 140(8), 081007 (Jul 26, 2018) (11 pages) Paper No: TURBO-18-1048; doi: 10.1115/1.4040679 History: Received March 01, 2018; Revised June 25, 2018

A major concern for new generations of large turbine blades is forced and self-excited (flutter) vibrations, which can cause high-cycle fatigue (HCF). The design of friction joints is a commonly applied strategy for systematic reduction of resonance amplitudes at critical operational conditions. In this paper, the influence of geometric blade design parameters onto the damped system response is investigated for direct snubber coupling. A simplified turbine blade geometry is parametrized and a well-proven reduced-order model for turbine blade dynamics under friction damping is integrated into a 3D finite element tool-chain. The developed process is then used in combination with surrogate modeling to predict the effect of geometric design parameters onto the vibrational characteristics. As such, main and interaction effects of design variables onto static normal contact force and resonance amplitudes are determined for a critical first bending mode. Parameters were found to influence the static normal contact force based on their effect on elasticity of the snubber, torsional stiffness of the airfoil and free blade untwist. The results lead to the conclusion that geometric design parameters mainly affect the resonance amplitude equivalent to their influence on static normal contact force in the friction joint. However, it is demonstrated that geometric airfoil parameters influence blade stiffness and are significantly changing the respective mode shapes, which can lead to lower resonance amplitudes despite an increase in static contact loads. Finally, an evolutionary optimization is carried out and novel design guidelines for snubbered blades with friction damping are formulated.

Copyright © 2018 by ASME
Your Session has timed out. Please sign back in to continue.

References

Krack, M. , Panning-von Scheidt, L. , Wallaschek, J. , Siewert, C. , and Hartung, A. , 2013, “ Reduced Order Modeling Based on Complex Nonlinear Modal Analysis and Its Application to Bladed Disks With Shroud Contact,” ASME Paper No. GT2013-94560.
Joannin, C. , Chouvion, B. , Thouverez, F. , Mbaye, M. , and Ousty, J. P. , 2015, “ Nonlinear Modal Analysis of Mistuned Periodic Structures Subjected to Dry Friction,” ASME Paper No. GT2015-42255.
Heinze, T. , Panning-von Scheidt, L. , Wallaschek, J. , and Hartung, A. , 2016, “ A Taylor Series Expansion Approach for Nonlinear Blade Forced Response Prediction Considering Variable Rotational Speed,” ASME Paper No. GT2016-56375.
Battiato, G. , Firrone, C. M. , Berruti, T. M. , and Epureanu, B. I. , 2017, “ Reduced Order Modeling for Multistage Bladed Disks With Friction Contacts at the Flange Joint,” ASME Paper No. GT2017-64814.
Gross, J. , Krack, M. , and Schoenenborn, H. , 2017, “ Analysis of the Effect of Multi-Row and Multi-Passage Aerodynamic Interaction on the Forced Response Variation in a Compressor Configuration—Part 2: Effects of Additional Structural Mistuning,” ASME Paper No. GT2017-63019.
Siewert, C. , Sieverding, F. , McDonald, W. , Kumar, M. , and McCracken, J. , 2017, “ Development of a Last Stage Blade Row Coupled by Damping Elements: Numerical Assessment of Its Vibrational Behavior and Its Experimental Validation During Spin Pit Measurements,” ASME Paper No. GT2017-63630.
Petrov, E. P. , 2016, “ Stability Analysis of Multiharmonic Nonlinear Vibrations for Large Models of Gas-Turbine Engine Structures With Friction and Gaps,” ASME Paper No. GT2016-57959.
Wu, J. , Xie, Y. , Zhang, D. , and Zhang, M. , 2012, “ Experimental Friction Damping Characteristic of a Steam Turbine Blade Coupled by Shroud and Snubber at Standstill Set-Up,” ASME Paper No. GT2012-69472.
Hong, J. , Shi, Y. , Zahng, D. , and Zhu, Z. , 2007, “ Experimental Study of Damping Characteristic of Shrouded Blade,” ASME Paper No. GT2007-27610.
Griffin, J. H. , and Labelle, R. F. , 1996, “ A Rational Method for Optimizing Shroud Damping,” ASME Paper No. 96-GT-402.
Szwedowicz, J. , Mahler, A. , Hulme, C. J. , and Slowik, S. , 2005, “ Nonlinear Dynamic Analyses of a Gas Turbine Blade for Attainment of Reliable Shroud Coupling,” ASME Paper No. GT2005-69062.
Bonhage, M. , Panning-von Scheidt, L. , Wallaschek, J. , and Richter, C. , 2012, “ Transient Resonance Passage With respect to Friction,” ASME Paper No. GT2012-68986.
Yang, B. D. , and Menq, C. H. , 1996, “ Modeling of Friction Contact and Its Application to the Design of Shroud Contact,” ASME Paper No. 96-GT-472.
Arkhipov, A. N. , Pipopulo, A. V. , and Putchkov, I. V. , 2008, “ Design Tuning of High Aspect Ratio Shrouded Turbine Blades,” ASME Paper No. GT2008-50670.
Wang, J. , 2001, “ Design of Friction Damper to Control Vibration of Turbine Blades,” Dynamics with Friction: Modeling, Analysis and Experiment (Series on Stability, Vibration and Control of Systems, Series B, Vol. 7), World Scientific, Singapore, pp. 169–195. [CrossRef]
Kanekno, Y. , and Ohyama, H. , 2008, “ Design of Friction Damper to Control Vibration of Turbine Blades. Analysis and Measurement of Damping Characteristics of Integral Shroud Blade for Steam Turbine,” J. Syst. Des. Dyn., 2(1), pp. 69–78.
Szwedowicz, J. , Visser, R. , Sextro, W. , and Masserey, P. A. , 2007, “ On Nonlinear Forced Vibration of Shrouded Turbine Blades,” ASME J. Turbomach., 130(1), p. 011002.
Jafarali, P. , Krikunov, D. , Mujezinovic, A. , and Tisencheck, N. A. , 2012, “ Probabilistic Analysis of Turbine Blade Toleranceing and Tip Shroud Gap,” ASME Paper No. GT2012-70138.
Krack, M. , Salles, L. , and Thouverez, F. , 2016, “ Vibration Prediction of Bladed Disks Coupled by Friction Joints,” Arch. Comput. Methods Eng., 24(3), pp. 589–636.
Panning-von Scheidt, L. , Sextro, W. , and Popp, K. , 2000, “ Optimization of Interblade Friction Damper Design,” ASME Paper No. 2000-GT-0541.
Panning-von Scheidt, L. , Sextro, W. , and Popp, K. , 2003, “ Spatial Dynamics of Tuned and Mistuned Bladed Disk Assemblies With Cylindrical and Wedge Shaped Friction Dampers,” Int. J. Rotating Mach., 9(3), pp. 219–228.
Siewert, C. , Panning-von Scheidt, L. , Schmidt-Fellner, A. , and Kayser, A. , 2006, “ The Estimation of the Contact Stiffness for Directly and Indirectly Coupled Turbine Blading,” ASME Paper No. GT2006-90473.
Jareland, M. H. , 2001, “ A Parametric Study of a Cottage-Roof Damper and Comparison With Experimental Results,” ASME Paper No. 2001-GT-0275.
Sextro, W. , 2000, “ The Calculation of the Forced Response of Shrouded Blades With Friction Contacts and Its Experimental Verification,” ASME Paper No. 2000-GT-0540.
Berruti, T. , Filippi, S. , Gola, M. M. , and Salvano, S. , 2002, “ Friction Damping of Interlocked Vane Segments: Validation of Friction Model and Dynamic Response,” ASME Paper No. GT2002-30324.
Asai, K. , and Gola, M. M. , 2015, “ Experimental Verification of Friction Behaviors Under Periodically-Varied Normal Force by Developing a Two-Directional Friction Test System,” ASME Paper No. GT2015-42318.
Huang, Y. , Li, L. , Lu, X. , Rao, H. , and Jin, F. , 2007, “ Finite Element Analysis of Dynamic Characteristics for Steam Turbine Interlocked Blades With Integral Shroud,” Challenges of Power Engineering and Environment, Vol. 1, K. Cen, Y. Chi, and F. Wang, eds., Springer, Berlin. [CrossRef]
Cameron, T. M. , Griffin, J. H. , Kielb, R. E. , and Hoosac, T. M. , 1990, “ Integrated Approach for Friction Damper Design,” ASME J. Vib. Acoust., 112(2), pp. 175–182..
Hohl, A. , Siewert, C. , Panning-von Scheidt, L. , and Kayser, A. , 2008, “ Nonlinear Vibration Analysis of Gas Turbine Bladings With Shroud Coupling,” ASME Paper No. GT2008-50787.
Box, G. , and Behnken, D. W. , 1960, “ Some New Three Level Designs for the Study of Quantitative Variables,” Technometrics, 2(4), pp. 455–475.
Krige, D. G. , 1951, “ A Statistical Approach to Some Basic Mine Valuation Problems on the Witwatersrand,” J. Chem. Metall. Min. Soc. South Africa, 52(6), pp. 119–139.
Ye, K. Q. , 1993, “ Orthogonal Column Latin Hypercubes and Their Application in Computer Experiments,” J. Am. Stat. Assoc., 93(444), pp. 1430–1439.
Amatt, W. , 1973, “ Summary of Propeller Design Procedures and Data,” Struct. Anal. Blade Des., 2.
Deb, K. , Agrawal, S. , Pratap, A. , and Meyarivan, T. , 2000, “ A Fast Elitist Non-Dominated Sorting Genetic Algorithm for Multi-Objective Optimization: Nsga-II,” Parallel Problem Solving From Nature (PPSN VI),” Parallel Problem Solving from Nature PPSN VI, (Lecture Notes in Computer Science, Vol. 1917), M. Schoenauer, et al., eds., Springer, Berlin.
Aulich, M. , and Siller, U. , 2011, “ High-Dimensional Constrained Multiobjective Optimization of a Fan Stage,” ASME Paper No. GT2011-45618.

Figures

Grahic Jump Location
Fig. 1

Blade and snubber design parameter

Grahic Jump Location
Fig. 2

Airfoil section design parameter

Grahic Jump Location
Fig. 3

Effect of normalized airfoil parameters on hub (0) and tip (1) section

Grahic Jump Location
Fig. 4

Contact interface geometry and discretization

Grahic Jump Location
Fig. 5

Snubber blade twist-back geometry

Grahic Jump Location
Fig. 6

Estimated closing speed nc as a function of standstill tangential snubber gap g0

Grahic Jump Location
Fig. 7

Exemplary damping performance curve (resonance amplitude U as function of stimulus s) for first bending type vibrational motion

Grahic Jump Location
Fig. 8

Meshed geometry of baseline design with monitor node

Grahic Jump Location
Fig. 10

Relation between snubber normal contact force F0 and resonance amplitude at nominal stimulus U(s = snom) and frequency f1 for first bending type vibrational motion

Grahic Jump Location
Fig. 11

Main effects of design parameter onto static normal snubber contact force F0 and resonance amplitude of first bending type vibrational motion at nominal stimulus U(s = snom)

Grahic Jump Location
Fig. 12

Main effects of design parameter onto torsional stiffness Kt and free untwist δθ at full speed

Grahic Jump Location
Fig. 13

(a) Resonance amplitude as function of stimulus, (b) equivalent logarithmic decrement damping, and (c) magnitude of generalized coordinates (participation of uncoupled modes) for modes one to four along with the ratio of dissipated energy in the friction joint Wfrict relative to the total dissipated energy including viscous damping Wvisc. Results shown for different snubber cross-sectional shapes and radial positions rn,s.

Grahic Jump Location
Fig. 14

Uncoupled modeshapes of 1F, 2F, 1T, and 2T modes

Grahic Jump Location
Fig. 15

Scatter plot of (a) resonance amplitude at maximum stimulus versus resonance amplitude at nominal stimulus with vertical snubber length. (b) resonance amplitude at nominal stimulus versus static normal contact force with radial snubber position. (c) required standstill snubber gap versus static normal contact force with radial snubber position.

Grahic Jump Location
Fig. 16

Baseline and optimized design parameter with respect to baseline (0), minimum (–1), and maximum (1) values

Grahic Jump Location
Fig. 17

Baseline and optimum blade geometry

Grahic Jump Location
Fig. 18

Damping performance curves for baseline and optimized design parameters

Tables

Errata

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In