Skip to main content

Robert Kielb

Professor of the Practice Emeritus in the Thomas Lord Department of Mechanical Engineering and Materials Science
Thomas Lord Department of Mechanical Engineering and Materials Science
179 Hudson Hall, Box 90300, Durham, NC 27708-0300
179 Hudson Hall, Box 90300, Durham, NC 27708

Scholarly Works - Journal articles


Experimental investigation of flow instabilities leading to non-synchronous vibration of compressor blades

Journal article Journal of the Brazilian Society of Mechanical Sciences and Engineering · July 1, 2026 In the turbomachinery design, non-synchronous vibration (NSV), observed primarily in the front stages of high-pressure compressors and fan blades, is a dangerous aeroelastic phenomenon resembling flutter response. However, typical flutter stability paramet ... Full text Cite

Numerical Investigation of Classic Flutter Mechanism under Circumferentially Non-Uniform Inlet Condition

Journal article Journal of Turbomachinery · June 1, 2024 Over recent years, the aeroelastic problem of fan blades has become significantly serious due to the demand for high performance of aero-engines. To explore the aeroelastic issue of flutter, fan instability is represented by the aerodynamic damping. When t ... Full text Cite

Quasi-Dynamic Approximation of Unsteady Pressure Distribution for Transonic Airfoils in Flutter

Journal article Journal of Turbomachinery · August 1, 2023 A lack of reliable experimental data on transonic blade flutter in real turbomachines hampers the further improvement of computational design predictions for off-design operation regimes of newly-built machines. Acquiring unsteady pressure distribution on ... Full text Cite

Optical measurement and visualization of transonic airflow in a compressor blade cascade

Journal article Journal of Visualization · June 1, 2023 The paper deals with optical measurements of transonic flow past a five-blade compressor blade cascade. The middle blade of this cascade can be set to different incidence angles simulating its torsional deformation. Classical optical methods (shadowgraphy, ... Full text Cite

Effect of System Mode and Structural Damping Perturbation on the Mistuned Forced Response and Aerodynamic Damping of Embedded Compressor Rotors

Journal article Journal of Engineering for Gas Turbines and Power · May 1, 2023 This paper is a continuation of previous papers by the authors that focuses on predicting the mistuned embedded rotor blade forced response. The compressor under consideration is a part of a 3.5stage rig located at Purdue University. Previously, the curren ... Full text Cite

Forced Response Induced by Low Engine Order Under Circumferential Inlet Distortions With Different Extents

Journal article Journal of Turbomachinery · April 1, 2023 Boundary-layer ingestion systems have the potential to improve propulsion efficiency using fluid with lower momentum near the airframe. However, they also bring variations in the velocity and total pressure, leading to a complex distortion of the flow at t ... Full text Cite

A Fluid-Structure Interaction Tool Using a Van der Pol-Based Reduced-Order Model for Buffet and Nonsynchronous Vibrations

Journal article Journal of Turbomachinery · January 1, 2023 This paper builds upon a two-degree-of-freedom Van der Pol oscillator-based reducedorder model for studying the mechanisms around nonsynchronous vibrations (NSV) in turbomachinery. One degree tracks the fluid motion utilizing a combination of a traditional ... Full text Cite

Extending a Van Der Pol-Based Reduced-Order Model for Fluid-Structure Interaction Applied to Non-Synchronous Vibrations in Turbomachinery

Journal article Journal of Turbomachinery · March 1, 2022 This paper expands upon a multi-degree-of-freedom, Van der Pol oscillator used to model buffet and nonsynchronous vibrations (NSV) in turbines. Two degrees-of-freedom are used, a fluid tracking variable incorporating a Van der Pol oscillator and a classic ... Full text Cite

Separation of up and Downstream Forced Response Excitations of an Embedded Compressor Rotor

Journal article Journal of Turbomachinery · September 1, 2019 The aerodynamic interaction of upstream and downstream blade rows can have a significant impact on the forced response of the compressor. Previously, the authors carried out the forced response analysis of a three-row stator-rotor-stator (S1-R2-S2) configu ... Full text Cite

A Mistuned Forced Response Analysis of an Embedded Compressor Blisk Using a Reduced-Order Model

Journal article Journal of Engineering for Gas Turbines and Power · March 1, 2019 Accuracy when assessing mistuned forced response analyses is still a major concern. Since a fully coupled analysis is still very computational expensive, several simplifications and reduced-order models (ROMs) are carried out. The use of a reduction method ... Full text Cite

Mistuned higher-order mode forced response of an embedded compressor rotor-Part II: Mistuned forced response prediction

Journal article Journal of Turbomachinery · March 1, 2018 This paper is the second part of a two-part paper that presents a comprehensive study of the higher-order mode (HOM) mistuned forced response of an embedded rotor blisk in a multistage axial research compressor. The resonant response of the second-stage ro ... Full text Cite

Influence of the tip clearance on a compressor blade aerodynamic damping

Journal article Journal of Propulsion and Power · January 1, 2017 The flutter CFD calculations conducted in industry generally use a single-row, single-passage approach with a minimum of detailing to reduce the computational time as much as possible. The question arises of what level of detailing is necessary for accurat ... Full text Cite

Mistuned forced response predictions of an embedded rotor in a multistage compressor

Journal article Journal of Turbomachinery · June 1, 2016 This paper covers a comprehensive forced response analysis conducted on a multistage compressor and compared with the largest forced response experimental data set ever obtained in the field. The steady-state aerodynamic performance and stator wake predict ... Full text Cite

The impact of blade loading and unsteady pressure bifurcations on low-pressure turbine flutter boundaries

Journal article Journal of Turbomachinery · April 1, 2016 The three major aeroelastic issues in the turbomachinery blades of jet engines and power turbines are forced response, nonsynchronous vibrations, and flutter. Flutter primarily affects high-aspect ratio blades found in the fan, fore high-pressure compresso ... Full text Cite

Forced response sensitivity of a mistuned rotor from an embedded compressor stage

Journal article Journal of Turbomachinery · March 1, 2016 The frequency mistuning that occurs due to manufacturing variations and wear and tear of the blades has been shown to significantly affect the flutter and forced response behavior of a blade row. While tuned computational fluid dynamics (CFD) analyses are ... Full text Cite

An aeroelastic model for vortex-induced vibrating cylinders subject to frequency lock-in

Journal article Journal of Fluids and Structures · February 1, 2016 This work presents a novel way to calculate the response amplitude of an elastically supported cylinder experiencing vortex-induced vibrations. The method couples a computational fluid dynamic (CFD) model of the shedding vortex flow to a structural model r ... Full text Cite

Vortex-Induced Vibration and Frequency Lock-In of an Airfoil at High Angles of Attack

Journal article Journal of Fluids Engineering Transactions of the ASME · January 1, 2016 Vortex-induced vibration is a fluid instability where vortices due to secondary flows exert a periodic unsteady force on the elastic structure. Under certain circumstances, the shedding frequency can lock into the structure natural frequency and lead to li ... Full text Cite

Developing a reduced-order model of nonsynchronous vibration in turbomachinery using proper-orthogonal decomposition methods

Journal article Journal of Engineering for Gas Turbines and Power · May 1, 2015 The paper develops a reduced-order model of nonsynchronous vibration (NSV) using proper orthogonal decomposition (POD) methods. The approach was successfully developed and implemented, requiring between two and six POD modes to accurately predict computati ... Full text Cite

Physical understanding and sensitivities of low pressure turbine flutter

Journal article Journal of Engineering for Gas Turbines and Power · January 1, 2015 Successful, efficient turbine design requires a thorough understanding of the underlying physical phenomena. This paper investigates the flutter phenomenon of low pressure turbine (LPT) blades seen in aircraft engines and power turbines. Computational flui ... Full text Cite

The effect of aerodynamic asymmetries on turbomachinery flutter

Journal article Journal of Fluids and Structures · January 1, 2013 In this paper, the effect of aerodynamic asymmetries on the flutter characteristics of turbomachinery blades is investigated. Specifically, the present method is used to study the effect of leading edge blending in loaded and unloaded rotors. The unsteady ... Full text Cite

Nonlinear flutter in fan stator vanes with time dependent fixity

Journal article Journal of Turbomachinery · June 23, 2011 A new mechanism for fan stator vane failure in turbofan engines at high speed and high loading has been identified and reported in this paper. Highly destructive vane failures have been encountered at Honeywell in a development fan with composite stator va ... Full text Cite

Non-linear flutter in fan stator vanes with time dependent fixity

Journal article Proceedings of the ASME Turbo Expo · December 1, 2010 A new mechanism for fan stator vane failure in turbofan engines at high speed and high loading has been identified and reported in this paper. Highly destructive vane failures have been encountered at Honeywell in one of the development fans with composite ... Full text Cite

Harmonic balance analysis of blade row interactions in a transonic compressor

Journal article Journal of Propulsion and Power · January 1, 2010 In this paper we apply the harmonic balance technique to analyze an inlet guide vane and rotor interaction problem, and compare the computed flow solutions to existing experimental data. The computed results, which compare well with the experimental data, ... Full text Cite

Preliminary flutter design method for supersonic low pressure turbines

Journal article Proceedings of the ASME Turbo Expo · December 1, 2009 The "Tie-Dye" (TD) method is a well-known preliminary flutter design method for subsonic low pressure turbine (LPT) blades. In this paper, a study of 2D mode shape sensitivity using the TD-method for supersonic exit Mach numbers is presented. Using a harmo ... Full text Cite

The Effects of aerodynamic asymmetric perturbations on forced response of bladed disks

Journal article Journal of Turbomachinery · October 1, 2009 Most of the existing mistuning research assumes that the aerodynamic forces on each of the blades are identical except for an interblade phase angle shift. In reality, blades also undergo asymmetric steady and unsteady aerodynamic forces due to manufacturi ... Full text Cite

Aerodynamic Asymmetry Analysis of Unsteady Flows in Turbomachinery

Journal article Journal of Turbomachinery · 2008 Cite

A new solution method for unsteady flows around oscillating bluff bodies

Journal article Solid Mechanics and Its Applications · January 1, 2008 Full text Cite

Flutter of low pressure turbine blades with cyclic symmetric modes: A preliminary design method

Journal article Journal Of Turbomachinery-transactions Of The Asme · April 2004 A current preliminary design method for flutter of low pressure turbine blades and vanes only requires knowledge of the reduced frequency and mode shape (real). However many low pressure turbine (LPT) blade designs include a tip shroud that mechanically co ... Cite

An analysis system for blade forced response

Journal article Journal of Turbomachinery · January 1, 1993 A frequent cause of turbomachinery blade failure is excessive resonant response. The most common excitation source is the nonuniform flow field generated by inlet distortion, wakes and7 or pressure disturbances from adjacent blade rows. The standard method ... Full text Cite

An integrated approach for friction damper design

Journal article Journal of Vibration and Acoustics Transactions of the ASME · January 1, 1990 A procedure is outlined for determining the optimal design of friction dampers for high-speed turbomachinery blading. The procedure includes: An integration of bench test results with finite-element analysis and a single-mode blade model to ensure accuracy ... Full text Cite

Flutter of a fan blade in supersonic axial flow

Journal article Journal of Turbomachinery · January 1, 1989 An application of a simple aeroelastic model to an advanced supersonic axial flow fan is presented. Lane’s cascade theory is used to determine the unsteady aerodynamic loads. Parametric studies are performed to determine the effects of mode coupling, Mach ... Full text Cite

Influence of friction dampers on torsional blade flutter

Journal article Journal of Engineering for Gas Turbines and Power · January 1, 1986 This paper deals with the stabilizing effects of dry friction on torsional blade flutter. A lumped parameter model with single degree of freedom per blade has been used to represent the rotor stage. The well-known cascade theories for incompressible and su ... Full text Cite

Mass balancing of hollow fan blades

Journal article Journal of Engineering for Gas Turbines and Power · January 1, 1986 This paper uses a typical section model to investigate analytically the effect of mass balancing as applied to hollow, supersonic fan blades. A procedure to determine the best configuration of an internal balancing mass to provide flutter alleviation is de ... Full text Cite

Dynamic characteristics of an assembly of prop-fan blades

Journal article Journal of Engineering for Gas Turbines and Power · January 1, 1986 Full text Cite

Flutter of swept fan blades

Journal article Journal of Engineering for Gas Turbines and Power · January 1, 1985 The purpose ofthe research presented in this paper is to study the effect ofsweep on fan blade flutter by applying the analytical methods developed for aeroelastic analysis of advanced turboprops. Two methods are used. The first method utilizes an approxim ... Full text Cite

Vibrations of twisted cantilevered plates-experimental investigation

Journal article Journal of Engineering for Gas Turbines and Power · January 1, 1985 The experimental portion of a joint government/industry/university research study on the vibrational characteristics of twisted cantilevered plates is presented. The overall purpose of the research study was to assess the capabilities and limitations of ex ... Full text Cite

Vibration and flutter of mistuned bladed-disk assemblies

Journal article Journal of Propulsion and Power · January 1, 1985 An analytical model for investigating vibration and flutter of mistuned bladed-disk assemblies is presented. This model accounts for elastic, inertial, and aerodynamic coupling between bending and torsional motions of each individual blade, elastic and ine ... Full text Cite

Vibrations of twisted cantilever plates—a comparison of theoretical results

Journal article International Journal for Numerical Methods in Engineering · January 1, 1985 Previously published literature shows widely different results for the free vibration frequencies of twisted cantilever plates. Inasmuch as it is important to know the vibration characteristics of turbomachinery blades, which may have considerable twist, i ... Full text Cite

Vibrations of twisted cantilevered plates-Summary of previous and current studies

Journal article Journal of Sound and Vibration · September 22, 1984 This work summarizes a comprehensive study made of the free vibrations of twisted, cantilevered plates of rectangular planform. Numerous theoretical and experimental investigations previously made by others have resulted in frequency results which disagree ... Full text Cite

LEWIS RESEARCH CENTER SPIN RIG AND ITS USE IN VIBRATION ANALYSIS OF ROTATING SYSTEMS.

Journal article NASA Technical Paper · May 1, 1984 The Lewis Research Center spin rig was constructed to provide experimental evaluation of analysis methods developed under the NASA Engine Structural Dynamics Program. Rotors up to 51 cm (20in. ) in diameter can be spun to 16,000 rpm up to 51 cm (20 in. ) i ... Cite

Effects of warping and pretwist on torsional vibration of rotating beams

Journal article Journal of Applied Mechanics Transactions ASME · January 1, 1984 The effect of pretwist and warping on the torsional vibration of short-aspect-ratio rotating beams is examined for application to the modeling ofturbofan, turboprop, and compressor blades. The equations of motion and the associated boundary conditions by u ... Full text Cite

Flutter of swept fan blades.

Journal article · January 1, 1984 The purpose of the research presented in this paper is to study the effect of sweep on fan blade flutter by applying the analytical methods developed for aeroelastic analysis of advanced turboprops. Two methods are used. The first method utilizes an approx ... Cite

Effects of structural coupling on mistimed cascade flutter and response

Journal article Journal of Engineering for Gas Turbines and Power · January 1, 1984 The effects of structural coupling on mistuned cascade flutter and response are analytically investigated using an extended typical section model. Previous work using two degree of freedom per blade typical section models has included only aerodynamic coup ... Full text Cite

Flutter of swept fan blades.

Journal article Trans ASME J Engng Gas Turbines Power · January 1, 1984 The effect of sweep on fan blade flutter by applying the analytical methods developed for aeroelastic analysis of advanced turboprops was studied. Two methods are used. The first method utilizes an approximate structural model in which the blade is represe ... Cite

FLUTTER OF SWEPT FAN BLADES.

Journal article NASA Technical Memorandum · January 1, 1984 The purpose of the research presented in this paper is to study the effect of sweep on fan blade flutter by applying the analytical methods developed for aeroelastic analysis of advance turboprops. Two methods are used. The first method utilizes an approxi ... Cite

VIBRATION AND FLUTTER OF MISTUNED BLADED-DISK ASSEMBLIES.

Journal article NASA Technical Memorandum · January 1, 1984 An analytical model for investigating vibration and flutter of mistuned bladed disk assemblies is presented. This model accounts for elastic, inertial and aerodynamic coupling between bending and torsional motions of each individual blade, elastic and iner ... Cite

Flutter of turbofan rotors with mistuned blades

Journal article AIAA Journal · January 1, 1984 A set of aeroelastic equations describing the motion of an arbitrarily mistuned rotor with flexible, pretwisted, nonuniform blades is developed using an extended Hamilton's principle. The derivation of the equations has its basis in the geometric nonlinear ... Full text Cite

Flutter of swept fan blades.

Journal article · January 1, 1984 The purpose of the research presented in this paper is to study the effect of sweep on fan blade flutter by applying the analytical methods developed for aeroelastic analysis of advanced turboprops. Two methods are used. The first method utilizes an approx ... Cite

VIBRATION AND FLUTTER OF MISTUNED BLADED-DISK ASSEMBLIES.

Journal article NASA Technical Memorandum · January 1, 1984 An analytical model for investigating vibration and flutter of mistuned bladed disk assemblies is presented. This model accounts for elastic, inertial and aerodynamic coupling between bending and torsional motions of each individual blade, elastic and iner ... Cite

LEWIS RESEARCH CENTER SPIN RIG AND ITS USE IN VIBRATION ANALYSIS OF ROTATING SYSTEMS.

Journal article NASA Technical Paper · January 1, 1984 The Lewis Research Center spin rig was constructed to provide experimental evaluation of analysis methods developed under the NASA Engine Structural Dynamics Program. Rotors up to 51 cm (20in. ) in diameter can be spun to 16,000 rpm up to 51 cm (20 in. ) i ... Cite

FLUTTER OF SWEPT FAN BLADES.

Journal article NASA Technical Memorandum · January 1, 1984 The purpose of the research presented in this paper is to study the effect of sweep on fan blade flutter by applying the analytical methods developed for aeroelastic analysis of advance turboprops. Two methods are used. The first method utilizes an approxi ... Cite

Natural frequencies of twisted rotating plates

Journal article Journal Of Sound And Vibration · 1984 Cite

EFFECTS OF STRUCTURAL COUPLING ON MISTUNED CASCADE FLUTTER AND RESPONSE.

Journal article NASA Technical Memorandum · March 27, 1983 The effects of structural coupling on mistuned cascade flutter and response are analytically investigated using an extended typical section model. Previous work using two degree of freedom per blade typical section models has included only aerodynamic coup ... Cite

Aeroelastic characteristics of a cascade ofmistimed blades in subsonic and supersonic flows

Journal article Journal of Vibration and Acoustics Transactions of the ASME · January 1, 1983 An investigation of the effects of mistuning on flutter and forced response of a cascade in subsonic and supersonic flows is presented. The aerodynamic andstructural coupling between the bending and torsional motions and the aerodynamic coupling between th ... Full text Cite

EFFECTS OF STRUCTURAL COUPLING ON MISTUNED CASCADE FLUTTER AND RESPONSE.

Journal article NASA Technical Memorandum · January 1, 1983 The effects of structural coupling on mistuned cascade flutter and response are analytically investigated using an extended typical section model. Previous work using two degree of freedom per blade typical section models has included only aerodynamic coup ... Cite

BENDING-TORSION FLUTTER OF A HIGHLY SWEPT ADVANCED TURBOPROP.

Journal article NASA Technical Memorandum · December 1, 1982 Experimental and analytical results are presented for a bending-torsion flutter phenomena encountered during wind-tunnel testing of a ten-bladed, advanced, high-speed propeller (turboprop) model with thin airfoil sections, high blade sweep, low aspect rati ... Cite

COUPLED BENDING-BENDING-TORSION FLUTTER OF A MISTUNED CASCADE WITH NONUNIFORM BLADES.

Journal article NASA Tech Memo · May 10, 1982 A SET OF AEROELASTIC EQUATIONS DESCRIBING THE MOTION OF AN ARBITRARILY MISTUNED CASCADE WITH FLEXIBLE, PRETWISTED, NONUNIFORM BLADES IS DEVELOPED USING AN EXTENDED HAMILTON'S PRINCIPLE. A GENERAL EXPRESSION FOR FORESHORTENING OF A BLADE ISDERIVED AND IS EX ... Cite

COUPLED BENDING-BENDING-TORSION FLUTTER OF A MISTUNED CASCADE WITH NONUNIFORM BLADES.

Journal article NASA Tech Memo · January 1, 1982 A SET OF AEROELASTIC EQUATIONS DESCRIBING THE MOTION OF AN ARBITRARILY MISTUNED CASCADE WITH FLEXIBLE, PRETWISTED, NONUNIFORM BLADES IS DEVELOPED USING AN EXTENDED HAMILTON'S PRINCIPLE. A GENERAL EXPRESSION FOR FORESHORTENING OF A BLADE ISDERIVED AND IS EX ... Cite

BENDING-TORSION FLUTTER OF A HIGHLY SWEPT ADVANCED TURBOPROP.

Journal article NASA Technical Memorandum · January 1, 1982 Experimental and analytical results are presented for a bending-torsion flutter phenomena encountered during wind-tunnel testing of a ten-bladed, advanced, high-speed propeller (turboprop) model with thin airfoil sections, high blade sweep, low aspect rati ... Cite

AEROELASTIC CHARACTERISTICS OF A CASCADE OF MISTUNED BLADES IN SUBSONIC AND SUPERSONIC FLOWS.

Journal article American Society of Mechanical Engineers (Paper) · December 1, 1981 An investigation of the effects of mistuning on flutter and forced response of a cascade in subsonic and supersonic flows is presented. The aerodynamic and structural coupling between the bending and torsional motions and the aerodynamic coupling between t ... Cite

AEROELASTIC CHARACTERISTICS OF A CASCADE OF MISTUNED BLADES IN SUBSONIC AND SUPERSONIC FLOWS.

Journal article NASA Technical Memorandum · December 1, 1981 An investigation of the effects of mistuning on flutter and forced response of a cascade in subsonic and supersonic flows is presented. The aerodynamic and structural coupling between the bending and torsional motions and the aerodynamic coupling between t ... Cite

Aeroelastic characteristics of a cascade of mistuned blades in subsonic and supersonic flows.

Journal article · January 1, 1981 The results of an investigation of the effects of mistuning on flutter and forced response of a cascade in subsonic and supersonic flows is presented. The aerodynamic and structural coupling between the bending and torsional motions and the aerodynamic cou ... Cite

AEROELASTIC CHARACTERISTICS OF A CASCADE OF MISTUNED BLADES IN SUBSONIC AND SUPERSONIC FLOWS.

Journal article NASA Technical Memorandum · January 1, 1981 An investigation of the effects of mistuning on flutter and forced response of a cascade in subsonic and supersonic flows is presented. The aerodynamic and structural coupling between the bending and torsional motions and the aerodynamic coupling between t ... Cite

AEROELASTIC CHARACTERISTICS OF A CASCADE OF MISTUNED BLADES IN SUBSONIC AND SUPERSONIC FLOWS.

Journal article American Society of Mechanical Engineers (Paper) · January 1, 1981 An investigation of the effects of mistuning on flutter and forced response of a cascade in subsonic and supersonic flows is presented. The aerodynamic and structural coupling between the bending and torsional motions and the aerodynamic coupling between t ... Cite

Aeroelastic characteristics of a cascade of mistuned blades in subsonic and supersonic flows.

Journal article undefined · January 1, 1981 The results of an investigation of the effects of mistuning on flutter and forced response of a cascade in subsonic and supersonic flows is presented. The aerodynamic and structural coupling between the bending and torsional motions and the aerodynamic cou ... Cite

Vibration and buckling of rectangular plates under in-plane hydrostatic loading

Journal article Journal of Sound and Vibration · June 22, 1980 Numerical solutions are presented for the fundamental natural frequency and mode shape of a rectangular plate loaded by in-plane hydrostatic forces for a wide variety of aspect ratios, boundary conditions, and load magnitudes. All six possible combinations ... Full text Cite

Structural analysis of a cooled, directionally solidified turbine blade

Journal article Journal of Aircraft · January 1, 1977 Directionally solidifed, air-cooled turbine blades present new challenges to the structural design analyst. This paper describes an investigation of turbine blade failures encountered during a recent engine development program. The effect of wall tolerance ... Full text Cite

Modeling engine static structures with conical shell finite elements

Journal article Journal of Aircraft · January 1, 1975 The conical shell element with nonsymmetric loading and displacement capabilities has excellent possibilities for application to engine static structures. The major benefit would be a dramatic reduction in computer time as compared with a plate model, howe ... Full text Cite