Gallery of Charts Created by XLRotor What follows are samples of the charts created automatically by XLRotor. The formats for each chart are copied from templates in a file named XLRGRPH.XLS located in the XLRotor program folder. You are can modify the formats of the template charts any way you wish. Model Geometry Chart Integral Turbine Generator Example Analysis 1 Multi-Layered Rotor, Multi-Level Model 7.5 Shaft Radius, in 5 2.5-2.5 3 39 33 42 39 45 3 27 9 12 15 3 42 39 27 33 45 6 36 48 21 24 6 9 12 15 18 51-5 -7.5-1 5 1 15 2 25 3 Axial Location, in Ph & Fx: 512-918-914 Page 1 of 23 www.xlrotor.com
After using a menu command to display material properties. A tool tip shows the properties when the mouse is over an element. Integral Turbine Generator Example Analysis 1 Multi-Layered Rotor, Multi-Level Model 7.5 Shaft Radius, in 5 2.5-2.5 3 39 33 42 39 45 3 27 9 12 15 3 42 39 27 33 45 6 36 48 21 24 6 9 12 15 18 51-5 -7.5-1 5 1 15 2 25 3 Axial Location, in Ph & Fx: 512-918-914 Page 2 of 23 www.xlrotor.com
Undamped Critical Speed Map (USC) 1 Undamped Critical Speed Map Critical Speed, cpm 1 1 1 1. 1. 1. 1. Bearing Stiffness, lb/in After using a menu command to overlay the bearing stiffness values. 1 Undamped Critical Speed Map Critical Speed, cpm 1 1 1 Kxx Kyy 1. 1. 1. 1. Bearing Stiffness, lb/in Ph & Fx: 512-918-914 Page 3 of 23 www.xlrotor.com
Damped Natural Frequency Map Rotordynamic Damped Natural Frequency Map Natural Frequency, cpm 25 2 15 1 5. 2. 4. 6. 8. 1. Rotor Speed, rpm After using menu commands to add a synchronous line and damping ratios. Rotordynamic Damped Natural Frequency Map Natural Frequency, cpm 25 2 15 1 5.18 1.5 9.38 2.78.59.75.81 4.68 1.9 1 1.6 8 1.6 5 1.6 5 1.6 2 1.5 9 1.5 4 1.9 6.55.2 1. 5.23.22.19 2.56.17.12.83.65.51.4.5.4.7.1 1.7.13 6 1.3.19 4 1..6.26.4.6.4.4 6.6.5.25 6.27.25.6.7.8.9.1.12 9.25 1.5 1 83.69 999.3 999.1 999.1 999.1 999.1 999.1 999.1. 2. 4. 6. 8. 1..8 Rotor Speed, rpm.76.71.67.63 Ph & Fx: 512-918-914 Page 4 of 23 www.xlrotor.com
Damping Factor Map Log Decrement 5 4.5 4 3.5 3 2.5 2 1.5 1.5 Rotordynamic Damping Factor Map 2 4 6 8 1 12 Rotor Speed, rpm After using a menu command to convert Log Dec to Damping Ratio. Rotordynamic Damping Factor Map 1.2 Damping Ratio 1.8.6.4.2 2 4 6 8 1 12 Rotor Speed, rpm Ph & Fx: 512-918-914 Page 5 of 23 www.xlrotor.com
Root Locus Plot Log Decrement 5. 4.5 4. 3.5 3. 2.5 2. 1.5 1..5. Rotordynamic Root Locus Plot. 5. 1. 15. 2. 25. Natural Frequency, cpm Free-Free Natural Frequency Map (Undamped) Natural Frequency, cpm 5 45 4 35 3 25 2 15 1 5 Rotordynamic Free-Free Natural Frequency Map 1 2 3 4 5 6 7 8 9 1 Rotor Speed, rpm Ph & Fx: 512-918-914 Page 6 of 23 www.xlrotor.com
Mode Shape Plots 2 Dimensional Format 1.5 1.5-1 -1.5 Damped Eigenvalue Mode Shape Plot -.5 5 1 15 2 25 3 35 Axial Location, in The above 2D mode shapes can be animated with a menu command. Re(x) Im(x) Re(y) Im(y) f=9398.9 cpm d=1.683 logd N=5 rpm 3 Dimensional Format Damped Eigenvalue Mode Shape Plot forward backward f=9398.9 cpm d=1.683 logd N=5 rpm The above 3D mode shapes can be animated with a menu command. Ph & Fx: 512-918-914 Page 7 of 23 www.xlrotor.com
Overlaid on Mode Geometry After using a menu command to overlay the model geometry on either the 2D or 3D mode shape plot 12 Sample rotor with 2 disks, one midspan, one overhung Shaft Radius, inches 8 4-4 -8 4 8 12 16 19 f=9398.9 cpm d=1.683 logd N=5 rpm -12 5 1 15 2 25 3 35 Axial Location, inches Ph & Fx: 512-918-914 Page 8 of 23 www.xlrotor.com
Deformed Geometry Animation When the Animate Mode Shape menu command is used on a mode shape overlaid on the model geometry, the entire model geometry is animated. 12 Sample rotor with 2 disks, one midspan, one overhung Shaft Radius, inches 8 4-4 -8 4 8 12 16 19 f=9398.9 cpm d=1.683 logd N=5 rpm -12 5 1 15 2 25 3 35 Axial Location, inches Imbalance Response Displacement Plot Bode Style Response, mils p-p 3 2.5 2 1.5 1.5 Rotordynamic Response Plot Sta. No. 3: Drive End Bearing 36 2 4 6 8 1 12 Rotor Speed, rpm 27 18 9-9 -18-27 -36-45 -54-63 -72 Major Amp Horz Amp Vert Amp Horz Phs Vert Phs Ph & Fx: 512-918-914 Page 9 of 23 www.xlrotor.com
Polar Style After using a menu command to convert Bode to Polar format Quadrature Component, mils p-p 455 Rotordynamic Response Plot Sta. No. 3: Drive End Bearing 3 47 47 44.5 425-1 -1.5-2 -2.5 455 4 37 95 875 8 34 4 725 31 37 65 25 175 1 25 31 34 575 95 875 8 725 65 575 485 5-3 -2.5-2 -1.5-1 -.5 -.5.5 1 2.5 2 1.5 In-Phase Com ponent, m ils p-p 1 485 5 425 44 Horz Vert Animated Orbit Plot After using a menu command to convert the Polar format to an Orbit plot. This plot shows the shaft orbit at one speed. The speed can be changed using the scrollbar. Dragging the scrollbar animates the runup/rundown. Ph & Fx: 512-918-914 Page 1 of 23 www.xlrotor.com
With Labeled Peaks After using a menu command to label a critical speed and show the maximum continuous operating speed (MCOS) 3 2.5 Rotordynamic Response Plot Sta. No. 3: Drive End Bearing A.F.=22.69 S.M.=42.5% 46 rpm Response, mils p-p 2 1.5 1.5 MCOS Major Amp Horz Amp Vert Amp 2 4 6 8 1 12 Rotor Speed, rpm Imbalance Response Bearing Load Plot Rotordynam ic Bearing Load Plot 12 Brg at Stn 15: 3 Lobe sleeve bearing Bearing Load, lb pk 1 8 6 4 2 Max Load Horz Load Vert Load 2 4 6 8 1 12 Rotor Speed, rpm Ph & Fx: 512-918-914 Page 11 of 23 www.xlrotor.com
Imbalance Response Operating Deflected Shape Plot Rotordynamic Deflected Shape Plot Response Amplitude, mils pk 2.5 2 1.5 1.5 -.5 5 1 15 2 25 3 35-1 -1.5-2 -2.5 Deflected Shape at 45 rpm Axial Location, in Major Amp Horz Amp Vert Amp After using a menu command to overlay the deflected shape on the model geometry. 12 2.5 Shaft Radius, inches 8 4-4 -8 4 8 12 16 19 2 1.5 1.5 -.5-1 -1.5-2 Response Amplitude, mils pk -12 5 1 15 2 25 3 35 Axial Location, inches -2.5 Ph & Fx: 512-918-914 Page 12 of 23 www.xlrotor.com
Static Deflection Analysis to Misaligned Bearing 25 Static Deflection of Vertical Offset of #4 N=36 rpm no offset 1 mil offset 15 Shaft Radius, inches 15 5-5 -15-25 1 2 3 4 5 6 7 1 5-5 -1-15 Response Amplitude, mils pk Axial Location, inches Transient Response Plots Time History Plot of Displacement Displacement Transient Response Displacement, mm.6.5.4.3.2.1 -.1.5.1.15.2.25 -.2 -.3 -.4 -.5 Turbocharger rotor w ith floating ring bearings Transient analysis w ith imbalance and static load Stn (1): compressor end Time, sec D(1)x D(1)y Ph & Fx: 512-918-914 Page 13 of 23 www.xlrotor.com
Orbit Plot After using a menu command to convert the time history plot to an orbit plot..3.2.1 Displacement Transient Response Turbocharger rotor w ith floating ring bearings Transient analysis w ith imbalance and static load Stn (1): compressor end D(1)y, mm -.1 -.1.1.3.5.7.9.11 -.2 -.3 -.4 D(1)x -.5 D(1)x, m m Frequency Spectrum After using a menu command to convert the time history plot to a frequency spectrum..25 Displacement Transient Response Turbocharger rotor w ith floating ring bearings Transient analysis w ith imbalance and static load Stn (1): compressor end.2 Displacement, mm.15.1.5 D(1)x D(1)y 2 4 6 8 1 12 14 Frequency, Hz Ph & Fx: 512-918-914 Page 14 of 23 www.xlrotor.com
Velocity Plot.3 Velocity Transient Response Transient response w ith SFD, gravity and imbalance Nonlinear Transient Analysis of Large Rotordynamic Systems Stn (3): station 3.2 Velocity, m/s.1.2.4.6.8.1.12 -.1 V(3)x V(3)y -.2 -.3 Time, sec Acceleration Plot 25 Acceleration Transient Response Transient response w ith SFD, gravity and imbalance Nonlinear Transient Analysis of Large Rotordynamic Systems Stn (3): station 3 Acceleration, m/s2 2 15 1 5-5.2.4.6.8.1.12-1 -15 A(3)x A(3)y -2 Time, sec Ph & Fx: 512-918-914 Page 15 of 23 www.xlrotor.com
Internal Shaft Load Plot Plots of both shear load and/or bending moment can be generated. 3 2 1 Shaft Load Transient Response Transient response w ith SFD, gravity and imbalance Nonlinear Transient Analysis of Large Rotordynamic Systems Stn (3): Shear in station 3 Load, N.2.4.6.8.1.12-1 SL(3)x SL(3)y -2-3 -4 Time, sec Shear and Bending Moment Diagrams 1 Cross Sectional Shear 5 2 4 6 8 1 12-5 vx_r vx_i vy_r vy_i -1-15 Bending Moment 2 15 1 5 2 4 6 8 1 12-5 mx_r mx_i my_r my_i -1-15 -2 Ph & Fx: 512-918-914 Page 16 of 23 www.xlrotor.com
Torsional Model Geometry 8 4x6x9" 12-Stage Pump, 57 rpm Natural Frequencies and Mode Shapes, Impeller Fluid Ip= 6 Shaft Radius, in 4 2 1 2 3 4 5 6 7 8 9 1 11 17 12-2 -4 25 5 75 1 125 15 175 2 Axial Location, in Torsional Interference Diagram (Campbell) Frequency, cpm 6 5 4 3 2 1 Torsional Interference Diagram Oil Company 35 hp Motor/Gbox/Centrifugal Compressor 1788/4793 rpm, Coupling retrofit study, Falk 45G1, Kt=58 5 1 15 2 25 3 35 4 Engine Speed, rpm Order 1. Order 2. Order 6. Order 12. Mode 1 Mode 2 Mode 3 Mode 4 Mode 5 Mode 6 Mode 7 Ph & Fx: 512-918-914 Page 17 of 23 www.xlrotor.com
Torsional Mode Shape Chart 2D Dimensional Format Torsion Mode Shape Plot 15 4x6x9" 12-Stage Pump, 57 rpm Natural Frequencies and Mode Shapes, Impeller Fluid Ip= 1 5 323. cpm 5 1 15 2 25 Axial Location, in The above chart can be animated by with the Animate Mode Shape menu command. The above chart can also contain multiple mode shapes. Overlaid on Model Geometry After using a menu command to overlay the model geometry on the mode shape. 8 4x6x9" 12-Stage Pump, 57 rpm Natural Frequencies and Mode Shapes, Impeller Fluid Ip= Shaft Radius, in 6 4 2 1 2 3 4 5 6 7 8 9 1 11 1 7 12 323. cpm -2-4 25 5 75 1 125 15 175 2 Axial Location, in Ph & Fx: 512-918-914 Page 18 of 23 www.xlrotor.com
3D Animation The Animate Mode Shape menu command can also be used to produce a 3D animation of a torsional mode shape. The left scroll bars plays the animation. The bottom scroll bar pivots the display about the y axis. The right scroll bar pivots the display about the x axis. Torsional 3D Mode Shape Animation 2-4 1 6 11 16-2 -4-6 -8-1 Done Ph & Fx: 512-918-914 Page 19 of 23 www.xlrotor.com
Linear Torsional Response to Engine Orders Shaft Twist Response Both relative and absolute angles can be output. Torsion Amplitude, degrees.14.12.1.8.6.4.2 Torsional Response Plot 4x6x9" 12-Stage Pump, 57 rpm Natural Frequencies and Mode Shapes, Impeller Fluid Ip= Stn (99-12): Tw ist in high speed coupling 1 2 3 4 5 6 7 Engine Speed, rpm Coupling Load Torque Response Moment, in-lb 45 4 35 3 25 2 15 1 5 Torsional Load Response Plot 4x6x9" 12-Stage Pump, 57 rpm Natural Frequencies and Mode Shapes, Impeller Fluid Ip= Stn (116-117): Coupling Load betw een Stns: 116 and 117 1 2 3 4 5 6 7 Engine Speed, rpm Ph & Fx: 512-918-914 Page 2 of 23 www.xlrotor.com
Shaft Torque Response 14 Torsional Load Response Plot 4x6x9" 12-Stage Pump, 57 rpm Natural Frequencies and Mode Shapes, Impeller Fluid Ip= Stn (85): Pump shaft torque Moment, in-lb 12 1 8 6 4 2 1 2 3 4 5 6 7 Engine Speed, rpm Operating Deflected Shape All harmonics are summed and displayed as absolute values..14 Torsional Deflected Shape 4x6x9" 12-Stage Pump, 57 rpm Natural Frequencies and Mode Shapes, Impeller Fluid Ip= Engine Speed = 57 rpm Torsion Amplitude, degrees.12.1.8.6.4.2 5 1 15 2 25 Axial Location, in Ph & Fx: 512-918-914 Page 21 of 23 www.xlrotor.com
Torsional Transient Response Plots Shaft Twist. Displacement Transient Response.2 Five inertia example from book by Lalanne and Ferraris, pg 211 Transient response to startup and short circuit torques Stn (1-2): Relative tw ist in station 1 Displacement, radians.15.1.5 -.5.2.4.6.8 1 1.2 -.1 -.15 D(1-2)ax -.2 Time, sec Shaft Angular Velocity This sample plot shows the machine train accelerating up to rated speed. Velocity, rad/s 18 16 14 12 1 8 6 4 2 Velocity Transient Response 3 Inertia Example Torsional Analysis, Vance pg 151 Natural Frequencies and Mode Shapes & Transient Response Stn (1): Motor angular velocity 2 4 6 8 1 Time, sec V(1)ax Ph & Fx: 512-918-914 Page 22 of 23 www.xlrotor.com
Coupling Load Torque This plot show the torque transmitted in a coupling. 25 2 Coupling Load Transient Response 3 Inertia Example Torsional Analysis, Vance pg 151 Natural Frequencies and Mode Shapes & Transient Response Stn (1-2): Coupling Load betw een Stns: 1 and 2 Coupling Load, in-lb 15 1 5-5 2 4 6 8 1-1 B(1-2)ax -15 Time, sec Applied Nonlinear Torques This example plot shows two nonlinear load components which are being applied at the same station. One is the nominal motor drive torque, the other is a pulsating component of motor torque due to slippage. 8 Applied Nonlinear Load 3 Inertia Example Torsional Analysis, Vance pg 151 Natural Frequencies and Mode Shapes & Transient Response Stn (1): motor drive torque, curve fit of manufacturer's T/N data 6 Applied Load, in-lb 4 2 2 4 6 8 1-2 nll(1)ax nll(1)ax -4 Time, sec Ph & Fx: 512-918-914 Page 23 of 23 www.xlrotor.com