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Preface
Acknowledgements
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www.imp.gda.pl
Rotor Dynamics
prof. dr hab. inż. Jan Kiciński
Contents |
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| I THEORETICAL BACKGROUND | ||
| 1 Methodology of non-linear modelling | ||
| 1.1 Preliminary remarks | ||
| 1.2 Precise formulation of the problem | ||
| 1.3 The model of the supporting structure | ||
| 1.3.1 Dynamic stiffness and flexibility. Definitions | ||
| 1.3.2 General principles of complex dynamic flexibility matrix construction | ||
| 1.3.3 Sample construction of dynamic flexibility matrix for a twosupport structure |
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| 1.4 Transformation of characteristics | ||
| 1.4.1 Transformation for one excitation frequency w1 | ||
| 1.4.2 Transformation for two excitation frequencies w1 and w2 | ||
| 1.4.3 Transformation for a number of excitation frequencies | ||
| 1.5 The methodology of non-linear calculations | ||
| 1.5.1 The weight function method | ||
| 1.6 Concluding remarks | ||
| References to Chapter 1 | ||
| 2 Modelling of the line of rotors and bearings | ||
| 2.1 FEMmodel of the line of rotors | ||
| 2.1.1 Preliminary remarks | ||
| 2.1.2 Characteristic matrices in the local system | ||
| 2.1.3 Characteristic matrices in the global system | ||
| 2.2 Models of journal bearings | ||
| 2.2.1 Preliminary issues | ||
| 2.2.2 Basic equations | ||
| 2.2.3 Algorithm of calculations | ||
| 2.3 Basic dynamics equations | ||
| 2.3.1 Equations of motion for the single-mass symmetrical rotor | ||
| 2.3.2 Forced vibrations | ||
| 2.3.3 Free vibrations | ||
| 2.4 Discussion of the model | ||
| References to Chapter 2 | ||
| II RESEARCH TOOLS | ||
| 3 Research tools and their verification | ||
| 3.1 TheMESWIR environment | ||
| 3.1.1 NLDW series codes - general description | ||
| 3.1.2 Calculating potential of NLDW series codes | ||
| 3.1.3 The NLDWseries codes - specification | ||
| 3.2 Modelling defects and determining diagnostic relations | ||
| 3.3 Experimental verification | ||
| 3.3.1 The laboratory object - two-support rotor | ||
| 3.3.2 Real objects - large power units | ||
| 3.3.3 The reference case | ||
| 3.4 Sample applications | ||
| 3.5 Codes made available to the Readers | ||
| 3.5.1 Code descriptions | ||
| 3.5.2 Sample calculations | ||
| References to Chapter 3 | ||
| 4 The rotating machine dynamical state evaluation system | ||
| 4.1 Methods of measurement of the rotating machine dynamic state | ||
| 4.2 Evaluating the dynamic state of a machine from vibration measurements | ||
| 4.3 Uniform notation system | ||
| 4.4 Measures of an arbitrary signal | ||
| 4.5 Elements of MESWIR calculation results presentation system | ||
| 4.6 Classification of the dynamic state of turbosets | ||
| 4.7 Spectrum analysis bands | ||
| 4.8 Logarithmic scale of the vibration intensity level | ||
| 4.9 Determining limiting values with the aid of the symptom reliability method |
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| 4.10 Classification of defects which can be assessed from their symptoms | ||
| 4.10.1 Classes of defects which can be modelled using MESWIR |
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| 4.10.2 Hydrodynamic instability of slide bearings | ||
| 4.11 Definition of basic terms in the analysis of rotating machine dynamics | ||
| 4.11.1 Vibrations, measurements - related terms | ||
| 4.11.2 Vibration types | ||
| 4.11.3 Quantities characterising the vibration | ||
| 4.11.4 Vibration analysis | ||
| 4.11.5 Terms relating to the vibrating system | ||
| 4.12 List of standards | ||
| 4.12.1 Standards Group I. Basic Polish standards PN | ||
| 4.12.2 Standards Group II. International standards ISO. | ||
| 4.12.3 Standards Group III. Auxiliary standards PN | ||
| 4.12.4 Standards Group IV. Loosely-related PN standards | ||
| References to Chapter 4 | ||
| III INVESTIGATIONS | ||
| 5 Hydrodynamic instability | ||
| 5.1 Physics of the phenomenon | ||
| 5.1.1 Simple rotor-bearing system. Basic dynamic characteristics | ||
| 5.1.2 Simple rotor-bearing system. Stability loss mechanism | ||
| 5.2 Complex systems. Computer simulations | ||
| 5.3 Development of oil whirls and whips at hybrid lubrication | ||
| 5.4 Non-parallelism of journal and bush axes | ||
| 5.5 Thermo-elastic deformations of bushes | ||
| 5.6 Laboratory tests | ||
| References to Chapter 5 | ||
| 6 Rotor cracks | ||
| 6.1 Preliminary remarks | ||
| 6.2 Model of crack | ||
| 6.3 Object of investigations - laboratory rotor | ||
| 6.3.1 Examining the effect of crack location and propagation | ||
| 6.3.2 Coupled forms of crack generated vibrations | ||
| 6.3.3 Crack propagation after exceeding stability limit | ||
| 6.3.4 Interpretation of phase spectra | ||
| 6.3.5 Discussion of obtained results | ||
| 6.4 Large rotatingmachine | ||
| 6.4.1 Object of examination. Localising cracks | ||
| 6.5 Effect of crack propagation | ||
| 6.5.1 Vibration spectra | ||
| 6.5.2 Cascades | ||
| 6.6 Modal analysis | ||
| References to Chapter 6 | ||
| 7 Rotor line misalignment | ||
| 7.1 Preliminary remarks. Object of examination | ||
| 7.2 Displacements of bearing supports | ||
| 7.2.1 Maps of permissible bearing displacements | ||
| 7.2.2 Diagnostic cards | ||
| 7.2.3 Modal analysis | ||
| 7.3 Non-parallelismof bushes | ||
| References to Chapter 7 | ||
| 8 Adequacy intervals of supporting structure dynamic characteristics | ||
| 8.1 Preliminary remarks | ||
| 8.2 The laboratory rotor | ||
| 8.2.1 Complex dynamic flexibility - experimental and theoretical investigations |
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| 8.2.2 Theoretical and experimental modal analysis | ||
| 8.2.3 Determining adequacy intervals | ||
| 8.2.4 Weight function method - sample application | ||
| 8.3 Large powermachine | ||
| 8.3.1 Dynamic characteristics of the foundation | ||
| 8.3.2 Dynamic characteristics of LP casing. Adequacy intervals | ||
| 8.3.3 Sample use of weight function method | ||
| References to Chapter 8 | ||
| 9 Sample bearing characteristics | ||
| 9.1 Laboratory bearing | ||
| 9.2 Turbine bearing | ||
Copyright 2006 by Wojciech Murawski