Accurate prediction; Computational costs; Computational speed; Frictional interface; Individual components; Multi-scale approaches; Nonlinear dynamic behaviors; Underplatform dampers; Nuclear Energy and Engineering; Fuel Technology; Aerospace Engineering; Energy Engineering and Power Technology; Mechanical Engineering
Abstract :
[en] Accurate prediction of the vibration response of aircraft engine assemblies is of great importance when estimating both the performance and the lifetime of their individual components. In the case of underplatform dampers, for example, the motion at the frictional interfaces can lead to a highly nonlinear dynamic response and cause fretting wear at the contact. The latter will change the contact conditions of the interface and consequently impact the nonlinear dynamic response of the entire assembly. Accurate prediction of the nonlinear dynamic response over the lifetime of the assembly must include the impact of fretting wear. A multiscale approach that incorporates wear into the nonlinear dynamic analysis is proposed, and its viability is demonstrated for an underplatform damper system. The nonlinear dynamic response is calculated with a multiharmonic balance approach, and a newly developed semi-analytical contact solver is used to obtain the contact conditions at the blade-damper interface with high accuracy and low computational cost. The calculated contact conditions are used in combination with the energy wear approach to compute the fretting wear at the contact interface. The nonlinear dynamic model of the blade-damper system is then updated with the worn profile and its dynamic response is recomputed. A significant impact of fretting wear on the nonlinear dynamic behavior of the blade-damper system was observed, highlighting the sensitivity of the nonlinear dynamic response to changes at the contact interface. The computational speed and robustness of the adopted multiscale approach are demonstrated.
Fouvry, S., Duó, P., and Perruchaut, P., 2004, "A Quantitative Approach of Ti-6Al-4V Fretting Damage: Friction, Wear and Crack Nucleation," Wear, 257(9-10), pp. 916-929.
Paulin, C., Fouvry, S., and Deyber, S., 2005, "Wear Kinetics of Ti6Al4V Under Constant and Variable Fretting Sliding Conditions," Wear, 259(16), pp. 292-299.
Põdra, P., and Andersson, S., 1999, "Simulating Sliding Wear With Finite Element Method," Tribol. Int., 32(2), pp. 71-81.
McColl, I. R., Ding, J., and Leen, S. B., 2004, "Finite Element Simulation and Experimental Validation of Fretting Wear," Wear, 256(11-12), pp. 1114-1127.
Gallego, L., Nélias, D., and Jacq, C., 2006, "A Comprehensive Method to Predict Wear and to Define the Optimum Geometry of Fretting Surfaces," ASME J. Tribol., 128(3), p. 476.
Archard, J. F., 1953, "Contact and Rubbing of Flat Surfaces," J. Appl. Phys., 24(8), p. 981.
Gallego, L., Fulleringer, B., Deyber, S., and Nélias, D., 2010, "Multiscale Computation of Fretting Wear at the Blade/Disk Interface," Tribol. Int., 43(4), pp. 708-718.
Salles, L., Blanc, L., Thouverez, F., Gouskov, A. M., and Jean, P., 2010, "Multiscale Analysis of Fretting-Wear Under Dynamical Loading," Méc. Ind., 11(3-4), pp. 277-282.
Salles, L., Blanc, L., Thouverez, F., and Gouskov, A. M., 2011, "Dynamic Analysis of Fretting-Wear in Friction Contact Interfaces," Int. J. Solids Struct., 48(10), pp. 1513-1524.
Petrov, E. P., and Ewins, D. J., 2004, "Generic Friction Models for Time-Domain Vibration Analysis of Bladed Disks," ASME J. Turbomach., 126(1), p. 184.
Schwingshackl, C., Petrov, E., and Ewins, D., 2012, "Measured and Estimated Friction Interface Parameters in a Nonlinear Dynamic Analysis," Mech. Syst. Signal Process., 28, pp. 574-584.
Petrov, E. P., and Ewins, D. J., 2003, "Analytical Formulation of Friction Interface Elements for Analysis of Nonlinear Multi-Harmonic Vibrations of Bladed Disks," ASME J. Turbomach., 125(2), p. 364.
Petrov, E. P., and Ewins, D. J., 2004, "State-of-the-Art Dynamic Analysis for Non-Linear Gas Turbine Structures," Proc. Inst. Mech. Eng. Part G, 218(3), pp. 199-211.
Petrov, E. P., 2011, "A High-Accuracy Model Reduction for Analysis of Nonlinear Vibrations in Structures With Contact Interfaces," ASME J. Eng. Gas Turbines Power, 133(10), p. 102503.
Petrov, E. P., and Ewins, D. J., 2007, "Advanced Modeling of Underplatform Friction Dampers for Analysis of Bladed Disk Vibration," ASME J. Turbomach., 129(1), p. 143.
Salles, L., Blanc, L., Thouverez, F., Gouskov, A. M., and Jean, P., 2012. "Dual Time Stepping Algorithms With the High Order Harmonic Balance Method for Contact Interfaces With Fretting-Wear," ASME J. Eng. Gas Turbines Power, 134(3), p. 032503.
Armand, J., Salles, L., and Schwingshackl, C. W., 2015, "Numerical Simulation of Partial Slip Contact Using a Semi-Analytical Method," ASME Paper No. DETC2015-46464.
Polonsky, I. A., and Keer, L. M., 2000, "Fast Methods for Solving Rough Contact Problems: A Comparative Study," ASME J. Tribol., 122(1), p. 36.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, West Nyack, NY, pp. 45-106.
Love, A. E. H., 1906, A Treatise on the Mathematical Theory of Elasticity, Dover, Mineola, NY, pp. 180-200, 217-235.
Huq, M. Z., and Celis, J.-P., 2002, "Expressing Wear Rate in Sliding Contacts Based on Dissipated Energy," Wear, 252(5-6), pp. 375-383.
Fouvry, S., Liskiewicz, T., Kapsa, P., Hannel, S., and Sauger, E., 2003, "An Energy Description of Wear Mechanisms and Its Applications to Oscillating Sliding Contacts," Wear, 255(1-6), pp. 287-298.
Ramalho, A., and Miranda, J., 2006, "The Relationship Between Wear and Dissipated Energy in Sliding Systems," Wear, 260(4-5), pp. 361-367.
Leonard, B. D., 2008, "An Experimental and Numerical Investigation of the Effect of Coatings and Third Body on Fretting Wear," Ph.D. thesis, Purdue University, Lafayette, IN.
Pesaresi, L., Schwingshackl, C. W., Salles, L., Elliot, R., Jones, A., and Green, J. S., 2015, "Numerical and Experimental Investigation of an Underplatform Damper Test Rig," Appl. Mech. Mater., 849, pp. 1-12.
