Dynamic modeling and vibration analysis of mistuned bladed disks.

One of the most important problems that plague turbomachinery rotors is the existence of rogue blades -- lone blades that exhibit unexpected fatigue failure. It has been recognized that rotor mistuning might be the cause of rogue blades through a phenomenoncalled normal mode localization, whereby vibration energy is confined to a few blades of the assembly. The goals of this dissertation are (1) to achieve a thorough understanding of the fundamental mechanisms governing mistuning effects, (2) the development of mathematical models of turbomachinery rotors suitable for mistuning analysis, and (3) the development of techniques for designers interested in the mistuning sensitivity of a particular rotor design.

[1]  Y. K. Lin,et al.  Dynamics of Beam-Type Periodic Structures , 1969 .

[2]  D. J. Mead.  Wave propagation and natural modes in periodic systems: II. Multi-coupled systems, with and without damping , 1975 .

[3]  A. Srinivasan,et al.  Influence of Mistuning on Rotor-Blade Vibrations , 1975 .

[4]  W. A. Benfield,et al.  Vibration Analysis of Structures by Component Mode Substitution , 1971 .

[5]  D. J. Ewins,et al.  Resonant Vibration Levels of a Mistuned Bladed Disk , 1984 .

[6]  D. J. Mead.  Free wave propagation in periodically supported, infinite beams , 1970 .

[7]  C. Pierre.  Mode localization and eigenvalue loci veering phenomena in disordered structures , 1988 .

[8]  Christophe Pierre,et al.  A transfer matrix approach to free vibration localization in mistuned blade assemblies , 1993 .

[9]  M. Born,et al.  Wave Propagation in Periodic Structures , 1946, Nature.

[10]  Oddvar O. Bendiksen,et al.  LOCALIZATION OF VIBRATIONS IN LARGE SPACE REFLECTORS , 1987 .

[11]  J. H. Griffin,et al.  The Effect of Limiting Aerodynamic and Structural Coupling in Models of Mistuned Bladed Disk Vibration , 1986 .

[12]  A. H. von Flotow,et al.  Wave propagation, power flow, and resonance in a truss beam , 1988 .

[13]  O. Bendiksen,et al.  Free and forced response of nearly periodic multi-span beams and multi-bay trusses , 1991 .

[14]  Christophe Pierre,et al.  Individual and interactive mechanisms for localization and dissipation in a mono-coupled nearly-periodic structure , 1993 .

[15]  J. H. Griffin,et al.  Model Development and Statistical Investigation of Turbine Blade Mistuning , 1984 .

[16]  J. Woodhouse,et al.  Vibration isolation from irregularity in a nearly periodic structure: Theory and measurements , 1983 .

[17]  A. V. Srinivasan,et al.  Vibrations of Bladed-Disk Assemblies—A Selected Survey (Survey Paper) , 1984 .

[18]  Christophe Pierre,et al.  Strong Mode Localization in Nearly Periodic Disordered Structures , 1989 .

[19]  M. A. Salama,et al.  Mode Localization Experiments on a Ribbed Antenna , 1993 .

[20]  Christophe Pierre,et al.  Vibration localization and wave conversion phenomena in a multi-coupled, nearly periodic, disordered truss beam , 1992 .

[21]  R. C. F. Dye,et al.  Vibration Amplitudes of Compressor Blades Resulting From Scatter in Blade Natural Frequencies , 1969 .

[22]  O. Bendiksen.  Flutter of Mistuned Turbomachinery Rotors , 1984 .

[23]  W. Hurty.  Dynamic Analysis of Structural Systems Using Component Modes , 1965 .

[24]  O. Bendiksen,et al.  Vibration Characteristics of Mistuned Shrouded Blade Assemblies , 1986 .

[25]  R. Ibrahim.  Structural Dynamics with Parameter Uncertainties , 1987 .

[26]  D. Ewins.  Vibration Modes of Mistuned Bladed Disks , 1976 .

[27]  J. Woodhouse,et al.  Confinement of vibration by structural irregularity , 1981 .

[28]  Earl H. Dowell,et al.  Free vibrations of an arbitrary structure in terms of component modes. , 1972 .

[29]  D. J. Ewins,et al.  The effects of detuning upon the forced vibrations of bladed disks , 1969 .

[30]  Durbha V. Murthy,et al.  Stochastic sensitivity measure for mistuned high-performance turbines , 1992 .

[31]  P. Anderson.  Absence of Diffusion in Certain Random Lattices , 1958 .

[32]  Christophe Pierre,et al.  Vibration confinement phenomena in disordered, mono-coupled, multi-span beams , 1992 .

[33]  M. Mignolet,et al.  Probabilistic Analysis of Mistuned Bladed Disks: A Combined Closed Form-Perturbation Approach , 1990 .

[34]  Robert E. Kielb,et al.  Effects of Structural Coupling on Mistuned Cascade Flutter and Response , 1984 .

[35]  D. J. Ewins,et al.  Vibration Characteristics of Bladed Disc Assemblies , 1973 .

[36]  E. Dowell,et al.  Localization of vibrations by structural irregularity , 1987 .

[37]  Christophe Pierre,et al.  Localization Phenomena in Mistuned Assemblies with Cyclic Symmetry Part I: Free Vibrations , 1988 .

[38]  A. Sinha.  Calculating the statistics of forced response of a mistuned bladed disk assembly , 1986 .

[39]  Glen James Kissel,et al.  Localization in disordered periodic structures , 1988 .

[40]  C. Pierre,et al.  Statistical analysis of the forced response of mistuned cyclic assemblies , 1990 .

[41]  D. S. Whitehead,et al.  Effect of Mistuning on the Vibration of Turbo-Machine Blades Induced by Wakes: , 1966 .

[42]  A. V. Srinivasan,et al.  Fatigue Life Estimates of Mistuned Blades Via a Stochastic Approach , 1980 .

[43]  C. Pierre.  Weak and strong vibration localization in disordered structures - A statistical investigation , 1988 .