1. Object Oriented Modelling for Rotor Dynamics Analysis RomaxDynamic s

2. Copyright © Romax Technology Limited 2000 - 2005 About this Presentation Aims of the presentation Aims of the presentation Modelling the components: Modelling the components: shaftsshafts bearingsbearings rotor discsrotor discs Defining the loads and powers Defining the loads and powers Running the analysis Running the analysis Review of the results and further RomaxDynamics capabilities Review of the results and further RomaxDynamics capabilities

3. Copyright © Romax Technology Limited 2000 - 2005 Introduction Model a high speed shaft-bearing system Model a high speed shaft-bearing system Analyze the model for shaft-bearing static and dynamic performance Analyze the model for shaft-bearing static and dynamic performance Use the analysis results to optimize an existing design Use the analysis results to optimize an existing design Aims of this presentation are to show how to:

4. Copyright © Romax Technology Limited 2000 - 2005 Key Stages Definition of components Definition of components Adding dynamic loads Adding dynamic loads Loading definition and analysis Loading definition and analysis Review of results Review of results Options for further analysis and optimization Options for further analysis and optimization Key Stages for Creating a RomaxDynamics Model

5. Copyright © Romax Technology Limited 2000 - 2005 Definition of Components RomaxDynamics Modelling stages: Definition of components Definition of components Adding dynamic loads Adding dynamic loads Loading definition and analysis Loading definition and analysis Review of results Review of results Options for further analysis and optimization Options for further analysis and optimization

6. Copyright © Romax Technology Limited 2000 - 2005 Creating the Shaft Model The first step is to create a shaft by simply selecting Add New Component... from the menu: The first step is to create a shaft by simply selecting Add New Component... from the menu:

7. Copyright © Romax Technology Limited 2000 - 2005 Creating the Shaft Model Specify the approximate shaft outer dimensions: Specify the approximate shaft outer dimensions:

8. Copyright © Romax Technology Limited 2000 - 2005 Creating the Shaft Model To create shaft sections of different sizes, use the cutter icon to define steps: To create shaft sections of different sizes, use the cutter icon to define steps:

9. Copyright © Romax Technology Limited 2000 - 2005 Creating the Shaft Model Specify the dimensions of each section including any tapers and bores if needed: Specify the dimensions of each section including any tapers and bores if needed:

10. Copyright © Romax Technology Limited 2000 - 2005 Creating the Shaft Model The user need only input the geometry The user need only input the geometry RomaxDesigner will generate static and dynamic models from this data instantaneously RomaxDesigner will generate static and dynamic models from this data instantaneously

11. Copyright © Romax Technology Limited 2000 - 2005 Adding Bearings To add bearings, select the bearing icon and click at the approximate position: To add bearings, select the bearing icon and click at the approximate position:

12. Copyright © Romax Technology Limited 2000 - 2005 Adding Bearings RomaxDesigner has complete bearing database catalogues for SKF and FAG to choose from - as well as a Custom specification option: RomaxDesigner has complete bearing database catalogues for SKF and FAG to choose from - as well as a Custom specification option:

13. Copyright © Romax Technology Limited 2000 - 2005 Adding Bearings View the details of a range of bearings and accept the most suitable: View the details of a range of bearings and accept the most suitable:

14. Copyright © Romax Technology Limited 2000 - 2005 Adding Bearings Every bearing is a fully specified engineering object ready for analysis: Every bearing is a fully specified engineering object ready for analysis: Virtual Component has : - Dimensions - Engineering Properties

15. Copyright © Romax Technology Limited 2000 - 2005 Adding Bearings Specify its exact position on the shaft, and conditions such as axial constraints and pre-load: Specify its exact position on the shaft, and conditions such as axial constraints and pre-load:

16. Copyright © Romax Technology Limited 2000 - 2005 Adding Bearings Repeat the procedure to add further bearings Repeat the procedure to add further bearings

17. Copyright © Romax Technology Limited 2000 - 2005 Adding Bearings Other bearing types are available Other bearing types are available Additional bearing types {

18. Copyright © Romax Technology Limited 2000 - 2005 Adding Dynamic Effects RomaxDynamics Modelling stages: Definition of components Definition of components Adding dynamic effects Adding dynamic effects Loading definition and analysis Loading definition and analysis Review of results Review of results Options for further analysis and optimization Options for further analysis and optimization

19. Copyright © Romax Technology Limited 2000 - 2005 Adding Dynamic Effects The Add New Component... list allows you to add other features The Add New Component... list allows you to add other features Additional features {

20. Copyright © Romax Technology Limited 2000 - 2005 Adding Dynamic Effects Adding a rotor disc Adding a rotor disc For a disc, Transverse Inertia = (Polar Inertia)/2 +(Mass x width 2 ) / 12 Hint - create a shaft that represents the disc... Polar inertia and Mass are calculated automatically.

21. Copyright © Romax Technology Limited 2000 - 2005 Adding Dynamic Effects Adding a dynamic unbalance to explore effect on behaviour Adding a dynamic unbalance to explore effect on behaviour

22. Copyright © Romax Technology Limited 2000 - 2005 Loading Definition + Analysis RomaxDynamics Modelling stages: Definition of components Definition of components Adding dynamic effects Adding dynamic effects Loading definition and analysis Loading definition and analysis Review of results Review of results Options for further analysis and optimization Options for further analysis and optimization

23. Copyright © Romax Technology Limited 2000 - 2005 Loading Definition + Analysis Adding an Axial Load Adding an Axial Load

24. Copyright © Romax Technology Limited 2000 - 2005 Loading Definition + Analysis Defining power input and take-off points Defining power input and take-off points

25. Copyright © Romax Technology Limited 2000 - 2005 The Analysis Model RomaxDynamics automatically updates the static analysis model: RomaxDynamics automatically updates the static analysis model:

26. Copyright © Romax Technology Limited 2000 - 2005 …and the dynamics model to completely simulate the behaviour of the shaft: …and the dynamics model to completely simulate the behaviour of the shaft: The Analysis Model

27. Copyright © Romax Technology Limited 2000 - 2005 RomaxDynamics Analysis Tools RomaxDynamics Analysis Tools The Analysis Model Static shaft analysis 4 comprehensive dynamic analysis tools

28. Copyright © Romax Technology Limited 2000 - 2005 Results Review RomaxDynamics Modelling stages: Definition of components Definition of components Adding dynamic effects Adding dynamic effects Loading definition and analysis Loading definition and analysis Review of results Review of results Options for further analysis and optimization Options for further analysis and optimization

29. Copyright © Romax Technology Limited 2000 - 2005 Results Review - static analysis Shaft static analysis results include: Shaft static analysis results include: Forces, moments, displacements and stresses Forces, moments, displacements and stresses Deflections, tilts and displacements on all bearings Deflections, tilts and displacements on all bearings Life rating for all bearings including misalignment effects Life rating for all bearings including misalignment effects

30. Copyright © Romax Technology Limited 2000 - 2005 Results Review - static analysis Shaft forces in the y-direction including mass effects Shaft forces in the y-direction including mass effects

31. Copyright © Romax Technology Limited 2000 - 2005 Results Review - static analysis Displacement in Z direction due to axial force Displacement in Z direction due to axial force

32. Copyright © Romax Technology Limited 2000 - 2005 Results Review - static analysis Restoring moment at right hand bearing Restoring moment at right hand bearing

33. Copyright © Romax Technology Limited 2000 - 2005 Results Review - static analysis Bearing results showing the life, plus the relative and absolute displacements: Bearing results showing the life, plus the relative and absolute displacements: Misalignment has reduced the bearing life

34. Copyright © Romax Technology Limited 2000 - 2005 Bearing results showing the bearing stiffnesses: Bearing results showing the bearing stiffnesses: Results Review - static analysis

35. Copyright © Romax Technology Limited 2000 - 2005 Shaft dynamic analysis results include: Critical Speed Map and Mode Analysis Critical Speed Map and Mode Analysis Damped Natural Frequency Map (Campbell Diagram) Damped Natural Frequency Map (Campbell Diagram) Unbalanced Response Analysis Unbalanced Response Analysis Results Review - dynamic analysis Please see notes pages for more information - click right mouse button

36. Copyright © Romax Technology Limited 2000 - 2005 Critical Speed Map as a function of bearing stiffness Critical Speed Map as a function of bearing stiffness Results Review - dynamic analysis

37. Copyright © Romax Technology Limited 2000 - 2005 Mode Shape Plot as a function of support stiffness Mode Shape Plot as a function of support stiffness Results Review - dynamic analysis Blue line corresponds to support stiffness = 10 6 N/mm

38. Copyright © Romax Technology Limited 2000 - 2005 Mode Shape plots for modes 1-3 Mode Shape plots for modes 1-3 Results Review - dynamic analysis

39. Copyright © Romax Technology Limited 2000 - 2005 Damped Natural Frequency Map Damped Natural Frequency Map Results Review - dynamic analysis Can model effect of system damping, including the full bearing damping coefficients with cross coupling terms

40. Copyright © Romax Technology Limited 2000 - 2005 Eigenvector Plot Eigenvector Plot Results Review - dynamic analysis Static or animated 3-D eigenvector plots with numerical values in an interactive window

41. Copyright © Romax Technology Limited 2000 - 2005 Unbalanced Response Plot Unbalanced Response Plot Results Review - dynamic analysis

42. Copyright © Romax Technology Limited 2000 - 2005 Whirl Orbit 3D Surface Plot Whirl Orbit 3D Surface Plot Results Review - dynamic analysis American Petroleum Institute (API) guidelines to explore approximate amplification factor at a particular node through a resonance. Explore the influence of each critical on the response amplitude and phase angle along the whole rotor

43. Copyright © Romax Technology Limited 2000 - 2005 Whirl Orbit Animation Whirl Orbit Animation Results Review - dynamic analysis Step through the speed range to explore the change in whirl amplitude along the shaft.

44. Copyright © Romax Technology Limited 2000 - 2005 Creating the Model RomaxDynamics Modelling stages: Definition of components Definition of components Adding dynamic effects Adding dynamic effects Loading definition and analysis Loading definition and analysis Review of results Review of results Options for further analysis and optimization Options for further analysis and optimization

45. Copyright © Romax Technology Limited 2000 - 2005 Further Analysis (i) RomaxDynamics Additional modules to analyze: The influence of Centrifugal Forces on Bearing stiffness and loading The influence of Centrifugal Forces on Bearing stiffness and loading Effect of Unbalanced Magnetic Pull on rotors in electrical machines Effect of Unbalanced Magnetic Pull on rotors in electrical machines Shaft Fatigue Analysis Shaft Fatigue Analysis

46. Copyright © Romax Technology Limited 2000 - 2005 Conclusions RomaxDynamics allows: Virtual component modelling of a complex shaft- bearing dynamic systems Virtual component modelling of a complex shaft- bearing dynamic systems Advanced shaft-bearing analysis engine Advanced shaft-bearing analysis engine Rapid “Analysis-led-Design” tools to explore the effect design changes in real time Rapid “Analysis-led-Design” tools to explore the effect design changes in real time Powerful interactive graphics with Windows tools for easy report writing Powerful interactive graphics with Windows tools for easy report writing World-leading analysis in an easy-to-use interface. World-leading analysis in an easy-to-use interface.

47. Copyright © Romax Technology Limited 2000 - 2005 Your Next Step! Start using RomaxDynamics Take the Romax in-depth training course on rotor dynamics using RomaxDynamics (email us - see next slide) Contact Romax for more details on Romax software solutions (see next slide) Thank you for reviewing RomaxDynamics. You may now wish to:

48. For more information contact: Romax Technology Limited 67 Northgate, Newark, Nottinghamshire, England, NG24 1HD Tel: +44 (0)1636 614000 Fax: +44 (0)1636 614001 e-mail: info@romaxtech.com http://www.romaxtech.com