Experimental and Computational Study of a Rotating Bladed Disk with Under-Platform Dampers
Abstract
There has been an extensive amount of work developing reduced-order models (ROMs) for bladed disks using single-sector models and a cyclic analysis. Several ROMs currently exist to accurately model a bladed disk with under-platform dampers. To better predict the complex nonlinear response of a system with under-platform dampers, this work demonstrates how two linear models can determine bounds for the nonlinear response. The two cases explored are where the under-platform damper is completely stuck and also where the damper slides without friction. This work utilizes the component mode mistuning method to model small mistuning and a parametric ROM method to capture changes in properties due to rotational speed effects. Previously, these ROM methodologies have modeled freestanding bladed disk systems. To evaluate the ROM in predicting the bounds, blade tip amplitudes from the models are compared with high-speed rotating experiments conducted in a large, evacuated vacuum tank. The experimental data were collected during testing using strain gauges and laser blade tip timing probes. The blade amplitudes of the tip timing data, strain gauge data, and computational simulations are compared to determine the effectiveness of the simplified linear analysis in bounding the nonlinear response of the physical system.
References
[1] , “Mistuning Identification of Bladed Disks Using a Fundamental Mistuning Model—Part I: Theory,” Journal of Turbomachinery, Vol. 126, No. 1, 2004, pp. 150–158. https://doi.org/10.1115/1.1643913
[2] , “Component-Mode-Based Reduced Order Modeling Techniques for Mistuned Bladed Disks—Part I: Theoretical Models,” Journal of Engineering for Gas Turbines and Power—Transactions of the ASME, Vol. 123, No. 1, 2001, pp. 89–99. https://doi.org/10.1115/1.1338947
[3] , “Component-Mode-Based Reduced Order Modeling Techniques for Mistuned Bladed Disks—Part II: Application,” Journal of Engineering for Gas Turbines and Power—Transactions of the ASME, Vol. 123, No. 1, 2001, pp. 100–108.
[4] , “Reduced Order Models of Blisks with Small Geometric Mistuning,” Proceedings of the ASME Turbo Expo 2016: Turbomachinery Technical Conference and Exposition, ASME, Fairfield, VA, 2016, pp. 1–10. https://doi.org/10.1115/GT2016-57829
[5] , “Probabilistic Study of Integrally Bladed Rotor Blends Using Geometric Mistuning Models,” AIAA SciTech Forum, AIAA Paper 2017-0860, 2017. https://doi.org/10.2514/6.2017-0860
[6] , “Geometric Mistuning Reduced-Order Model Development Utilizing Bayesian Surrogate Models for Component Mode Calculations,” Journal of Engineering for Gas Turbines and Power, Vol. 141, No. 10, 2019, Paper 101013. https://doi.org/10.1115/1.4044454
[7] , “Reduced-Order Modeling Approach for Blisks with Large Mass, Stiffness, and Geometric Mistuning,” AIAA Journal, Vol. 50, No. 2, 2012, pp. 366–74. https://doi.org/10.2514/1.j051140
[8] , “A Statistical Characterization of the Effects of Mistuning in Multistage Bladed Disks,” Journal of Engineering for Gas Turbines and Power, Vol. 134, No. 1, 2011, pp. 1–8. https://doi.org/10.1115/1.4004153
[9] , “Mistuned Forced Response Predictions of an Embedded Rotor in a Multistage Compressor,” Journal of Turbomachinery, Vol. 138, No. 6, 2016, Paper 061003. https://doi.org/10.1115/1.4032164
[10] , “Multistage Blisk and Large Mistuning Modeling Using Fourier Constraint Modes and PRIME,” Journal of Engineering for Gas Turbines and Power, Vol. 140, No. 7, 2017, Paper 072505. https://doi.org/10.1115/1.4038613
[11] , “Parametric Reduced Order Models for Bladed Disks with Mistuning and Varying Operational Speed,” Journal of Engineering for Gas Turbines and Power, Vol. 142, No. 4, 2019, Paper 041015. https://doi.org/10.1115/1.4045023
[12] , “Analyzing Mistuned Multi-Stage Turbomachinery Rotors with Aerodynamic Effects,” Journal of Fluids and Structures, Vol. 42, Oct. 2013, pp. 388–400. https://doi.org/10.1016/j.jfluidstructs.2013.07.007
[13] , “A Reduced Order Model for Nonlinear Dynamics of Mistuned Bladed Disks with Shroud Friction Contacts,” Journal of Engineering for Gas Turbines and Power, Vol. 141, No. 1, 2019, Paper 011031.
[14] , “Modelling the Nonlinear Behaviour of an Underplatform Damper Test Rig for Turbine Applications,” Mechanical Systems and Signal Processing, Vol. 85, Feb. 2017, pp. 662–679, http://www.sciencedirect.com/science/article/pii/S0888327016303466.https://doi.org/10.1016/j.ymssp.2016.09.007
[15] , “Qualitative Analysis of Forced Response of Blisks with Friction Ring Dampers,” European Journal of Mechanics—A/Solids, Vol. 26, No. 4, 2007, pp. 676–687.
[16] , “Non-Linear Vibrations of Multi-Stage Bladed Disks Systems with Friction Ring Dampers,” Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2007, ASME Paper DETC2007-34473, Fairfield, VA, 2007.
[17] , “Generalized Bilinear Amplitude Approximation and X-Xr for Modeling Cyclically Symmetric Structures with Cracks,” Journal of Vibration and Acoustics, Vol. 140, No. 4, 2018, Paper 041012. https://doi.org/10.1115/1.4039296
[18] , “Statistical Analysis of the Nonlinear Response of Bladed Disks with Mistuning and Cracks,” AIAA Jounal, Vol. 57, No. 11, 2019, pp. 4966–4977. https://doi.org/10.2514/1.J058190
[19] , “A New Experimental Facility for Characterizing Bladed Disk Dynamics at Design Speed,” AIAA Journal, Vol. 58, No. 6, 2020, pp. 2682–2690. https://doi.org/10.2514/1.J058682
[20] , “Experimental Investigation of Bladed Disk Dynamics at Design Speed Under Synchronous Vibration,” AIAA Journal, Vol. 59, No. 10, 2021, pp. 4123–4133. https://doi.org/10.2514/1.J059827
[21] , “An Experimental and Computational Investigation of a Pulsed Air-Jet Excitation System on a Rotating Bladed Disk,” Journal of Engineering for Gas Turbines and Power, Vol. 143, No. 1, 2021, Paper 011017. https://doi.org/10.1115/1.4049014
[22] , “Parametric Reduced Order Models for Bladed Disks with Mistuning and Varying Operational Speed,” Journal of Engineering for Gas Turbines and Power, Vol. 141, No. 5, 2019, Paper 051018. https://doi.org/10.1115/1.4041204
[23] , “Modelling and Experimental Validation of Active and Passive Eddy Current Sensors for Blade Tip Timing,” Sensors and Actuators A: Physical, Vol. 285, Jan. 2019, pp. 98–110, http://www.sciencedirect.com/science/article/pii/S0924424718309701. https://doi.org/10.1016/j.sna.2018.10.034
[24] , “A Blade Tip Timing Method Based on a Microwave Sensor,” Sensors (Basel, Switzerland), Vol. 17, No. 5, 2017, p. 1097, https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5470487/.
[25] , “A Survey of Blade Tip-Timing Measurement Techniques for Turbomachinery Vibration,” Journal of Engineering for Gas Turbines and Power, Vol. 120, No. 4, 1998, pp. 784–791. https://doi.org/10.1115/1.2818468
[26] , “Forced Response of Rotating Bladed Disks: Blade Tip-Timing Measurements,” Mechanical Systems and Signal Processing, Vol. 85, Feb. 2017, pp. 912–926. https://doi.org/10.1016/j.ymssp.2016.09.019
[27] , “An Improved Mistuning Identification and Dynamic Strain Prediction Method for Rotating Blades with Application of Blade Tip Timing Technology,” Mechanical Systems and Signal Processing, Vol. 184, Feb. 2022, Paper 109684. https://doi.org/10.1016/j.ymssp.2022.109684
[28] , “New Step to Improve the Accuracy of Blade Tip Timing Method Without Once per Revolution,” Mechanical Systems and Signal Processing, Vol. 134, Dec. 2019, Paper 106321. https://doi.org/10.1016/j.ymssp.2019.106321
[29] , “Parametric Reduced Order Models for Predicting the Vibration Response of Complex Structures with Component Damage and Uncertainties,” Journal of Sound and Vibration, Vol. 330, No. 6, 2010, pp. 1091–1110, https://www.sciencedirect.com/science/article/pii/S0022460X10006279. https://doi.org/10.1016/j.jsv.2010.09.022
[30] , “Compact, Generalized Component Mode Mistuning Representation for Modeling Bladed Disk Vibration,” AIAA Journal, Vol. 45, No. 9, 2007, pp. 2285–2298.