Bearing Dynamic Coefficients in Rotordynamics. Lukasz Brenkacz

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Bearing Dynamic Coefficients in Rotordynamics - Lukasz Brenkacz

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of the NLDW soft...Figure 4.12 Interface of the Abaqus/CAE software 6.14‐2.

      5 Chapter 5Figure 5.1 (a) Rotor model in the Samcef Rotors software and (b) bearing mod...Figure 5.2 Diagram for the calculation of dynamic bearing coefficients.Figure 5.3 (a) Force in direction X as a function of time and (b) displaceme...Figure 5.4 (a) Frequency distribution of force and (b) amplitude of node no....Figure 5.5 Bearing no. 1: (a) flexibility amplitude and (b) flexibility phas...Figure 5.6 The first form of natural vibrations of the rotor at 46 Hz.

      6 Chapter 6Figure 6.1 Calculation scheme of dynamic coefficients of bearings including ...Figure 6.2 (a) Stable operation of the rotor – reference signal in the beari...Figure 6.3 (a) Amplitude of vibrations after subtracting the reference signa...Figure 6.4 The fast Fourier transform displacement signal in bearings for ro...Figure 6.5 Dynamic flexibility of bearings: (a) amplitude course and (b) pha...

      7 Chapter 7Figure 7.1 Diagram showing the sensitivity analysis scheme.Figure 7.2 (a) Rotor model on which the method of force displacement is mark...Figure 7.3 (a) Model showing how the force is applied at an angle and (b) th...Figure 7.4 Model on which the place of bearing displacement measurement was ...Figure 7.5 Diagram of an asymmetrical rotor.Figure 7.6 Response of an asymmetrical rotor system.

      8 Chapter 8Figure 8.1 Program window for signal preparation; the diagrams presented the...Figure 8.2 Window of the software used for calculations of dynamic coefficie...Figure 8.3 Photograph showing the test stand during the shaft alignment.Figure 8.4 Photograph showing the tested rotor.Figure 8.5 Phantom Camera Control, a program window for operating a high‐spe...Figure 8.6 Calculation scheme of dynamic coefficients of bearings.Figure 8.7 Signal measured near bearing no. 2 in the Y direction at 4500 rpm...Figure 8.8 Excitation force curve in the Y direction over 20 seconds; signal...Figure 8.9 Excitation force in the X and Y directions over 0.4 ms; excitatio...Figure 8.10 Stable bearing operation no. 2 (a and b) at 4500 rpm and signal ...Figure 8.11 Amplitude of rotor vibrations after excitation in the X and Y di...Figure 8.12 Changes in the stiffness coefficients of bearing no. 2 for the e...Figure 8.13 Changes in the damping coefficients of bearing no. 2 for the ent...Figure 8.14 Changes in the mass coefficients of bearing no. 2 for the entire...Figure 8.15 Increasing vibration amplitude recorded in bearing no. 2 during ...Figure 8.16 Schematic model of mass, damping, and stiffness.Figure 8.17 Comparison of the dynamic response of the real rotor and the num...

      9 Chapter 9Figure 9.1 Coordinate system at a selected point in the lubrication gap.Figure 9.2 Algorithm of calculation of a radial hydrodynamic bearing.Figure 9.3 Numerical rotor model in the KINWIR program.Figure 9.4 Numerical model of hydrodynamic bearing.Figure 9.5 Presentation of the pressure distribution calculated for the stat...Figure 9.6 Bearing no. 2 stiffness coefficients calculated using a linear al...Figure 9.7 Bearing no. 2 damping coefficients calculated using a linear algo...Figure 9.8 Numerical model of the rotor, bearing and disk in the NLDW progra...Figure 9.9 Pressure distribution calculated using the NLDW program for (a–d)...Figure 9.10 Stiffness coefficients calculated in the NLDW program for 3 roto...Figure 9.11 Damping coefficients calculated in the NLDW program for 3 rotor ...Figure 9.12 Stiffness coefficients calculated in the NLDW program for 3 roto...Figure 9.13 Damping coefficients calculated in the NLDW program for 3 rotor ...Figure 9.14 Stiffness coefficients calculated in the NLDW program for 3 roto...Figure 9.15 Damping coefficients calculated in the NLDW program for 3 rotor ...Figure 9.16 Bearing journal displacements calculated using the method with a...Figure 9.17 Bearing journal displacements calculated using the NLDW program....Figure 9.18 Vibration trajectories of the journal of bearing no. 2: (a) meas...Figure 9.19 The FFT analysis of the signal for a speed of 5750 rpm based on ...

      10 Chapter 10Figure 10.1 (a) Change in journal vibration trajectory due to e.g. increased...

      11 Chapter 11Figure 11.1 A diagram of the work carried out. The division into experimenta...

      12 Appendix 1Figure A.1 Fast Fourier transform (FFT) diagrams of the first and second bea...Figure A.2 FFT diagrams of the first and second bearings in the X and Y dire...Figure A.3 FFT diagrams of the first and second bearings in the X and Y dire...Figure A.4 FFT diagrams of the first and second bearings in the X and Y dire...Figure A.5 Vibration trajectory of the first bearing for 16 rotational speed...Figure A.6 Vibration trajectory of the second bearing for 16 rotational spee...Figure A.7 Cascade diagram of an accelerometer placed on support no. 1 in th...Figure A.8 Cascade diagram of an accelerometer placed on support no. 1 in th...Figure A.9 Cascade diagram of an accelerometer placed on support no. 2 in th...Figure A.10 Cascade diagram of an accelerometer placed on support no. 2 in t...Figure A.11 Shaft alignment report – part one.Figure A.12 Shaft alignment report – part two.

      13 Appendix 3Figure C.1 Vibration trajectories calculated for the second bearing using a ...Figure C.2 Vibration trajectories calculated for the second bearing using a ...

      Guide

      1  Cover Page

      2  Series Page

      3  Title Page

      4  Copyright Page

      5  Dedication Page

      6  List of Figures

      7  List of Tables

      8  Preface

      9  Symbols and Abbreviations

      10  About the Companion Website

      11  Table of Contents

      12  Begin Reading

      13  Appendix A

      14  Appendix B

      15  Appendix C

      16  Research Funding

      17  References

      18  Index

      19  Wiley End User License Agreement

      Pages

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