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Turbomachine blade vibration
01 Jan 1991-
TL;DR: In this paper, the authors present a detailed analysis of single and coupled blade-disc vibrations, as well as the effect of small aspect ratio on the number of vibrations.
Abstract: Single Blade Vibrations Discrete Analysis of Blades Small Aspect Ratio Blades Blade Group Frequencies and Mode Shapes Excitation Damping Forced Vibrations Transient Vibrations Coupled Blade-Disc Vibrations Some Thoughts on Fatigue Life Estimation Some Reflections Appendices: Heat Transfer and Thermal Stress of Turbine Blades SI Units Nomenclature Index.
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TL;DR: In this article, a finite element analysis for a rotating cantilever beam is presented based on a dynamic modelling method using the stretch deformation instead of the conventional axial deformation, three linear partial differential equations are derived from Hamilton's principle.
Abstract: A finite element analysis for a rotating cantilever beam is presented in this study Based on a dynamic modelling method using the stretch deformation instead of the conventional axial deformation, three linear partial differential equations are derived from Hamilton's principle Two of the linear differential equations are coupled through the stretch and chordwise deformations The other equation is an uncoupled one for the flapwise deformation From these partial differential equations and the associated boundary conditions, are derived two weak forms: one is for the chordwise motion and the other is for the flapwise motion The weak forms are spatially discretized with newly defined two-node beam elements With the discretized equations, the behaviours of the natural frequencies are investigated for the variation of the rotating speed In addition, the time responses and distributions of the deformations and stresses are computed when the rotating speed is prescribed The effects of the rotating speed profile on the vibrations of the beam are also investigated
198 citations
TL;DR: In this article, a survey of methods for modeling and analyzing bladed disk assemblies common to gas turbine aircraft is presented, followed by a literature review of studies modeling bladed disks, blade mistuning, and the effect of forced response.
Abstract: This work surveys methods for modeling and analyzing bladed disk assemblies common to gas turbine aircraft. An introduction to symmetric (tuned) bladed disk dynamics is presented, followed by a literature review of studies modeling bladed disks, blade mistuning. and the effect of mistuning forced response. A summary of results is given, and suggestions for future work are made.
96 citations
TL;DR: In this article, a dynamic modeling method for rectangular plates undergoing prescribed overall motion is employed to derive the equations of motion of a rotating cantilever plate and dimensionless parameters are identified through dimensional analysis.
Abstract: Modal characteristics of a rotating cantilever plate are investigated in the present work. A dynamic modelling method for rectangular plates undergoing prescribed overall motion is employed to derive the equations of motion. The general equations are particularized for the modal analysis of a rotating cantilever plate and dimensionless parameters are identified through dimensional analysis. The effects of the dimensionless parameters on the modal characteristics of the rotating plate are investigated. Incidentally, eigenvalue loci veering and crossing phenomena along with the corresponding modeshape variations are exhibited and discussed.
82 citations
TL;DR: In this paper, a model for the vibration analysis of rotating pretwisted blades with a concentrated mass is presented, and the effects of the dimensionless parameters on the modal characteristics of the rotating blade are investigated through numerical analysis.
Abstract: A modelling method for the vibration analysis of rotating pretwisted blades with a concentrated mass is presented in this paper. The blade has an arbitrary orientation with respect to the rigid hub to which it is fixed. The equations of motion are derived based on a modelling method that employs hybrid deformation variables. The resulting equations for the vibration analysis are transformed into a dimensionless form in which dimensionless parameters are identified. The effects of the dimensionless parameters on the modal characteristics of the rotating blade are investigated through numerical analysis.
78 citations
TL;DR: In this paper, the effects of the dimensionless parameters on the modal characteristics of rotating pre-twisted blades are investigated, in particular eigenvalue loci veering phenomena and associated mode shape variations.
Abstract: Equations of motion for the vibration analysis of rotating pre-twisted blades are derived from a modelling method which employs hybrid deformation variables. The derived equations are transformed into dimensionless forms in which dimensionless parameters are identified. The effects of the dimensionless parameters on the modal characteristics of rotating pre-twisted blades are investigated. In particular, eigenvalue loci veering phenomena and associated mode shape variations are observed and discussed in this work.
73 citations