Blade/Casing Rub Interaction in Turbomachinery: Structural Parameters’ Influence on Stability

This paper studies the dynamics induced by interactions of rotating blades and the surrounding casing in turbomachinery such as aeroengines. Also known as “blade/casing rub dynamics,” this phenomenon results in vibrations that contribute to fatigue failure, especially in blades. Recently, it was proposed that the underlying dynamics of these interactions is analogous to internal milling operations. This introduces the concept of chatter and its intrinsic time-delay component in the dynamics, which is known to invite some nontrivial instability characteristics. The present paper investigates how the structural properties of the blade and casing components influence the stability of the combined interaction. The cluster treatment of characteristic roots paradigm is used for a delay-dependent stability analysis in the space of the operational parameters. An in-depth analysis reveals important aspects of the stability, which may provide valuable tools for designers. Analytical expressions are derived to calcu...

[1]  Jianfu Hou,et al.  An investigation of fatigue failures of turbine blades in a gas turbine engine by mechanical analysis , 2002 .

[2]  Michael G. Dunn,et al.  Airfoil Deflection Characteristics During Rub Events , 2012 .

[3]  J. Tlustý,et al.  Special Aspects of Chatter in Milling , 1983 .

[4]  Dirk Roose,et al.  Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL , 2002, TOMS.

[5]  Nejat Olgac,et al.  On blade/casing rub problems in turbomachinery: An efficient delayed differential equation approach , 2014 .

[6]  Michael G. Dunn,et al.  A Moving Load Finite Element-Based Approach to Determination of Case Load in a Blade-on-Casing Incursion , 2010 .

[7]  Manfred Weck,et al.  Chatter Stability of Metal Cutting and Grinding , 2004 .

[8]  John D. Denton,et al.  The 1993 IGTI Scholar Lecture: Loss Mechanisms in Turbomachines , 1993 .

[9]  S. Niculescu,et al.  Stability and Stabilization of Time-Delay Systems: An Eigenvalue-Based Approach , 2007 .

[10]  Michael G. Dunn,et al.  Development of an Experimental Capability to Produce Controlled Blade Tip∕Shroud Rubs at Engine Speed , 2005 .

[11]  Rifat Sipahi,et al.  A Unique Methodology for Chatter Stability Mapping in Simultaneous Machining , 2005 .

[12]  R. Vermiglio,et al.  TRACE-DDE: a Tool for Robust Analysis and Characteristic Equations for Delay Differential Equations , 2009 .

[13]  J. Demasi-marcin,et al.  Protective coatings in the gas turbine engine , 1994 .

[14]  Michael G. Dunn,et al.  Experimental Results From Controlled Blade Tip/Shroud Rubs at Engine Speed , 2007 .

[15]  Gary A. Davis,et al.  Blade Tip Rubbing Stress Prediction , 1988 .

[16]  Jean-Pierre Richard,et al.  Time-delay systems: an overview of some recent advances and open problems , 2003, Autom..

[17]  Rifat Sipahi,et al.  An exact method for the stability analysis of time-delayed linear time-invariant (LTI) systems , 2002, IEEE Trans. Autom. Control..

[18]  V. Kolmanovskii,et al.  Stability of Functional Differential Equations , 1986 .

[19]  Nejat Olgac,et al.  Predicting Thermoacoustic Instability: A Novel Analytical Approach and Its Experimental Validation , 2014 .

[20]  Martin Hosek,et al.  A new perspective and analysis for regenerative machine tool chatter , 1998 .

[21]  Nejat Olgaç,et al.  An Exact Method for the Stability Analysis of Linear Consensus Protocols With Time Delay , 2011, IEEE Transactions on Automatic Control.

[22]  Gábor Stépán,et al.  On the higher-order semi-discretizations for periodic delayed systems , 2008 .

[23]  O. E. Kosing,et al.  Design Improvements of the EJ 200 HP Compressor: From Design Verification Engine to a Future All Blisk Version , 2001 .

[24]  Kornel Ehmann,et al.  Machining Process Modeling: A Review , 1997 .

[25]  Christophe Pierre,et al.  Two-dimensional modeling of an aircraft engine structural bladed disk-casing modal interaction , 2009 .

[26]  Silviu-Iulian Niculescu,et al.  Survey on Recent Results in the Stability and Control of Time-Delay Systems* , 2003 .

[27]  J. Padovan,et al.  Non-linear transient analysis of rotor-casing rub events , 1987 .

[28]  Alain Batailly,et al.  Modeling of Abradable Coating Removal in Aircraft Engines Through Delay Differential Equations , 2013 .

[29]  Nejat Olgaç,et al.  A unique methodology for the stability robustness of multiple time delay systems , 2006, Syst. Control. Lett..

[30]  Albert F. Kascak,et al.  Effects of different rub models on simulated rotor dynamics , 1984 .

[31]  Tomás Vyhlídal,et al.  Mapping Based Algorithm for Large-Scale Computation of Quasi-Polynomial Zeros , 2009, IEEE Transactions on Automatic Control.