Rotordynamics-Seal Research

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ROTORDYNAMIC ANALYSIS SOFTWARE


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LATERAL ROTORDYNAMIC ANALYSIS

R0) Undamped Critical Speeds
Transfer Matrix Based, Polynomial Solutions
  Capabilities:
· Undamped Critical Speeds
· Undamped Mode Shapes
  Advanced Features:
· Unlimited number of interconnections and stations in rotor model.
· Independent direct stiffness definition for each interconnection.
· Utilizes polynomial solution method, never misses modes.
  Postprocessing:
· Automatically generates required plots: Geometry Plot, Undamped Critical Speed Map with overplotted Bearing Stiffness Curves, and Mode Shapes.
· Rotor modes are automatically sorted and labeled.
R1) Damped Eigenvalue
Transfer Matrix Based, Polynomial Solution
  Capabilities:
· Free-Free Natural Frequencies and Mode Shapes
· Undamped Critical Speeds and Mode Shapes
· Damped Eigenvalues, Stability, and Mode Shapes
  Advanced Features:
· Unlimited number of interconnections and stations in rotor model.
· Up to 24 rotordynamic coefficients for each interconnection (12 lateral, 12 moment) including stiffness, damping, and mass.
· Utilizes polynomial solution method, never misses modes.
· Direct inclusion of housing transfer function (rap test data).
· Up to 100 times faster than FEA based codes, but no less accurate.
· Analysis may be run as a function of any system parameter that affects the rotordynamic coefficients (i.e., rotor speed, aerodynamic cross-coupling, bearing clearance, oil inlet temperature, etc.)
  Postprocessing:
· Automatically generates required plots: Geometry Plot, Natural Frequency Map, Stability Map, Root Locus Plot, and 3-D Mode Shapes.
· Rotor modes are automatically sorted and labeled.
· User defined operating range and harmoic lines are displayed and interferences are automatically labeled.
· Mode Shape plots automatically report natural frequency, synchronous critical speed(s), stability parameter, and whirl direction.
· Animation program included to illustrate rotor modes.
R2) Steady-State Forced Response
Transfer Matrix Based, Polynomial Solution
  Capabilities:
· Synchronous
· Asynchronous - Constant Rotor Speed
· Asynchronous - Constant Harmonic Order
  Features:
· Unlimited number of interconnections and stations in rotor model.
· Up to 24 rotordynamic coefficients for each interconnection (12 lateral, 12 moment) including stiffness, damping, and mass.
· Unlimited number of forcing functions.
· Forcing functions may be defined with magnitudes that are constant or a function of frequency squared.
· Direct inclusion of housing transfer functions (rap test data).
· Up to 100 times faster than FEA based codes, but no less accurate.
  Postprocessing:
· Automatically generates required plots: Geometry Plot, Rotor Displacements, Dynamic Loads, and Response Shapes. Plots are created in fixed X-Y and rotating Major/Minor coordinate systems.
· Amplification factors automatically calculated and displayed on X-Y response plots with corresponding peak frequency response.
· User defined rub limits displayed on Major/Minor response plots.
· Separation margins relative to a user defined operating range are automatically displayed.
· Overlay capability plots responses from different rotor stations and/or different analysis runs on same plot.
· Animation program included to illustrate deflected whirling rotor.
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TORSIONAL ROTORDYNAMIC ANALYSIS

R3) Eigenvalue and Steady-State Forced Response
Transfer Matrix Based, Polynomial Solution
  Capabilities:
· Undamped Eigenvalues
· Damped Eigenvalues
· Response to Harmonic Forcing Functions
  Advanced Features:
· Unlimited number of branches in rotor model.
· Unlimited number of stations on each branch.
· Systems with branches off branches can be modeled.
· Automated gear mesh stiffness calculation (3 different methods).
· Unlimited number of forcing functions may be applied simultaneously to different stations.
· Calculates undamped natural frequencies and mode shapes, station-to-station torques, and maximum stresses with a single run.
· Up to 100 times faster than FEA based codes, but no less accurate.
  Postprocessing:
· Automatically generates required plots: Geometry Plot, Natural Frequency Map, and Mode Shapes.
· Geometry Plot illustrates connectivity between all branches.
· Natural Frequency Map displays user defined operating range, separation margins, and harmonic lines. Interferences between modes and harmonic lines occuring within the user defined separation margin are automatically labeled.
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FINITE ELEMENT ROTORDYNAMIC ANALYSIS

R4) Damped Eigenvalue
Finite Element Based Solution
  Capabilities:
· Free-Free Rotor and Housing Modes
· Undamped Critical Speeds and Housing Natural Frequencies
· Damped Eigenvalues, Stability, and Mode Shapes
  Advanced Features:
· Unlimited number of rotating assemblies and stationary entities.
· Rotors and housings may have any relative orientation in 3-D space.
· Each rotor and housing entity modeled with 2-D conical beam elements.
· Each rotating assembly is assigned a speed and direction allowing co-rotating, counter rotating, and co-axial rotors.
· All degrees of freedom are included for analysis of coupled axial, torsional, and lateral modes.
· Up to 24 rotordynamic coefficients for each interconnection (12 lateral, 12 moment) including stiffness, damping, and mass.
  Postprocessing:
· Automatically generates required plots: Geometry Plot, Natural Frequency Map, Stability Map, Root Locus Plot, and 3-D Mode Shapes.
· Rotor modes are automatically sorted and labeled.
· Mode Shape plots automatically report natural frequency, synchronous critical speed(s), stability parameter, and whirl direction.
R5) Steady-State Forced Response
Finite Element Based Solution
  Capabilities:
· Synchronous
· Asynchronous - Constant Rotor Speed
· Asynchronous - Constant Harmonic Order
  Advanced Features:
· Unlimited number of rotating assemblies and stationary entities.
· Rotors and housings may have any relative orientation in 3-D space.
· Each rotor and housing entity modeled with 2-D conical beam elements.
· Each rotating assembly is assigned a speed and direction allowing co-rotating, counter rotating, and co-axial rotors.
· All degrees of freedom are included for analysis of coupled axial, torsional, and lateral modes.
· Up to 24 rotordynamic coefficients for each interconnection (12 lateral, 12 moment) including stiffness, damping, and mass.
· Unlimited number of forcing functions.
· Forcing functions may be defined with magnitudes that are constant or a function of frequency squared.
  Postprocessing:
· Automatically generates required plots: Geometry Plot, Rotor Displacements, Dynamic Loads, and Response Shapes. Plots are created in fixed X-Y and rotating Major/Minor coordinate systems.
· Amplification factors automatically calculated and displayed on X-Y response plots with corresponding peak frequency response.
· Separation margins relative to a user defined operating range are automatically displayed.
· Overlay capability plots responses from different rotor stations and/or different analysis runs on same plot.
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JOURNAL BEARING ANALYSIS

B1) Sleeve, Lobed, Partial Arc and Tilt Pad Hydrodynamic Journal Configurations
Approximate Reynolds Solution
  Capabilities:
· Sleeve (0,1,2,3,4, or 5 groove)
· Lobed (2,3,4, or 5 lobe)
· Partial Arc (120-180 degree)
· Tilt Pad Bearings (4,5,6 or 7 pad)
  Features:
· Provides fast, accurate rotordynamic coefficients for evaluating bearings from a system rotordynamics standpoint.
· Solution method utilizes database of non-dimensional analysis results calculated using a state of the art thermohydrodynamic FEA Reynolds solver, including turbulence effects.
· Execution is instantaneous, never has convergence problems.
· Allows for evaluation of different bearing configurations in seconds.
· Automatically calculates speed dependent rotordynamic coefficients.
· Contains library of oil properties for popular ISO grades.
  Analysis Results:
· Calculates stiffness and damping coefficients, eccentricity, attitude angle, power loss, and Sommerfeld number.
· Reports stiffness and damping coefficients in principal stiffness coordinates.
B2) Incompressible, Recessed, Orifice Compensated Hydrostatic Journal
Approximate Navier-Stokes Solution
  Capabilities:
· Laminar, Transitional, or Turbulent Flow
· Any Number of Recesses
· Centered Bearing (approximate for eccentricity less than 0.5)
  Features:
· Provides fast, accurate rotordynamic coefficients for evaluating bearings from a system rotordynamics standpoint.
· Execution is instantaneous, never has convergence problems.
  Analysis Results:
· Calculates stiffness and damping, and mass coefficients, leakage rate, and power loss.
· Reports stiffness and damping coefficients in principal stiffness coordinates.
BA1) Radially Fed Sleeve, Lobe, Partial Arc, Pressure Dam And Tapered Land Hydrodynamic Configurations
Navier-Stokes Solution
  Capabilities:
· Laminar, Transitional, or Turbulent Flow
· Axial and/or Circumferential Grooves
· Full Thermal Model
· Results Include Full Effects of Fluid Inertia and Shear
  Features:
· Two operating modes: enter load and determine journal operating position, or specify a journal location and solve for reaction load.
· Solution method solves momentum (Navier-Stokes based), continuity, and energy (including momentum effects) equations.
· Thermal model includes convection to shaft and housing, and conduction through housing. Note that housing model allows for analysis of two dissimilar materials (i.e., babbitt and steel, polyimide and steel, etc.).
· Hot fluid carry over model.
· Groove model accounting for pressure effect of flow preswirl.
· Automatic grid generation.
· Automated initial guess algorithm when entering load and iterating on the journal's equilibrium position.
· Contains library of oil properties for popular ISO grades.
  Analysis Results:
· Dynamic Results: Stiffness, damping, and mass coefficients and whirl frequency ratio.
· Static Results General: Eccentricity, attitude angle, flow rate, power loss, peak film pressure, peak housing temperature, and peak fluid temperature.
· Static Results Each Sector: Inlet temperature, temperature rise, maximum temperature, minimum film thickness, maximum circumferential Reynolds number, and flow condition (laminar, transitional, or turbulent).
BA2)Axially Fed Sleeve And Lobe Hydrodynamic Configurations
Navier-Stokes Solution
  Capabilities:
· Laminar, Transitional, or Turbulent Flow
· Axial, Helical, and/or Circumferential Grooves
· Full Thermal Model
· Results Include Full Effects of Fluid Inertia and Shear
  Features:
· 360 degree bearings with or without grooves (axial and helical).
· Full modeling of pressure drop across bearing.
· Two operating modes: enter load and determine journal operating position, or specify a journal location and solve for reaction load.
· Solution method solves momentum (Navier-Stokes based), continuity, and energy (including momentum effects) equations.
· Thermal model includes convection to shaft and housing, and conduction through housing. Note that housing model allows for analysis of two dissimilar materials (i.e., babbitt and steel, polyimide and steel, etc.).
· Hot fluid carry over model.
· Groove model accounting for pressure effect of flow preswirl.
· Automatic grid generation.
· Automated initial guess algorithm when entering load and iterating on the journal's equilibrium position.
· Contains library of oil properties for popular ISO grades.
  Analysis Results:
· Dynamic Results: Stiffness, damping, and mass coefficients and whirl frequency ratio.
· Static Results General: Eccentricity, attitude angle, flow rate, power loss, peak film pressure, peak housing temperature, and peak fluid temperature.
· Static Results Each Sector: Inlet temperature, temperature rise, maximum temperature, minimum film thickness, maximum circumferential Reynolds number, and flow condition (laminar, transitional, or turbulent).
BA3)Floating Ring Sleeve Hydrodynamic Configuration
Navier-Stokes Solution
  Capabilities:
· Laminar, Transitional, or Turbulent Flow
· Full Thermal Model
· Results Include Full Effects of Fluid Inertia and Shear
  Features:
· Two operating modes: enter load and determine journal operating position, or specify a journal location and solve for reaction load.
· Solution method solves momentum (Navier-Stokes based), continuity, and energy (including momentum effects) equations.
· Thermal model includes convection to shaft, ring, and housing, and conduction through ring and housing.
· Automatic grid generation.
· Automated initial guess algorithm when entering load and iterating on the journal's equilibrium position.
· Contains library of oil properties for popular ISO grades.
  Analysis Results:
· Dynamic Results: Stiffness, damping, and mass coefficients and whirl frequency ratio.
· Static Results General: Eccentricity, attitude angle, flow rate, power loss, peak film pressure, peak housing temperature, peak fluid temperature, ring speed.
· Static Results Each Annulus: Inlet temperature, temperature rise, maximum temperature, minimum film thickness, maximum circumferential Reynolds number, and flow condition (laminar, transitional, or turbulent).
BA4) Pin, Rocker, and Ball/Socket Tilt Pad Hydrodynamic Journal Configurations
Navier-Stokes Solution
  Capabilities:
· Laminar, Transitional, or Turbulent Flow
· Geometrically Correct Pivot Models
· Full Thermal Model
· Results Include Full Effects of Fluid Inertia and Shear
  Features:
· Two operating modes: enter load and determine journal operating position, or specify a journal location and solve for reaction load.
· Solution method solves momentum (Navier-Stokes based), continuity, and energy (including momentum effects) equations.
· Thermal model includes convection to shaft and pad, conduction through pad and thermal expansion of pad. Note that pad model allows for analysis of two dissimilar materials (i.e., babbitt and steel, polyimide and steel, etc.).
· Separate models for the three common pivot types: pin, rocker (line contact), and ball/socket. Pivot models include friction, radial stiffness, pad inertia, and pivot curvature effects.
· Hot fluid carry over model.
· Groove model accounting for pressure effect of flow preswirl.
· Automatic grid generation.
· Automated initial guess algorithm when entering load and iterating on the journal's equilibrium position.
· Contains library of oil properties for popular ISO grades.
  Analysis Results:
· Dynamic Results: Stiffness, damping, and mass coefficients and whirl frequency ratio.
· Static Results General: Eccentricity, attitude angle, flow rate, power loss, peak film pressure, peak pad temperature, and peak fluid temperature.
· Static Results Each Pad: Inlet temperature, temperature rise, maximum temperature, minimum film thickness, maximum circumferential Reynolds number, and flow condition (laminar, transitional, or turbulent).
BA5)Multileaf Bending Foil Hydrodynamic Configuration
Navier-Stokes Solution
  Capabilities:
· Laminar, Transitional, or Turbulent Flow
· Full Thermal Model
· Results Include Full Effects of Fluid Inertia and Shear
  Features:
· Two operating modes: enter load and determine journal operating position, or specify a journal location and solve for reaction load.
· Solution method solves momentum (Navier-Stokes based), continuity, and energy (including momentum effects) equations.
· Thermal model includes convection to shaft and housing, and conduction through and housing.
· Full FEA solution of foil with node to node interactions.
· Automatic grid generation.
· Automated initial guess algorithm when entering load and iterating on the journal's equilibrium position.
· Real fluid properties solution for compressible and incompressible flows.
  Analysis Results:
· Dynamic Results: Stiffness, damping, and mass coefficients and whirl frequency ratio.
· Static Results General: Eccentricity, attitude angle, flow rate, power loss, peak film pressure, peak housing temperature, peak fluid temperature.
· Static Results Each Sector: Inlet temperature, temperature rise, maximum temperature, minimum film thickness, maximum circumferential Reynolds number, and flow condition (laminar, transitional, or turbulent).
BA6) Incompressible, Recessed, Orifice Compensated Hydrostatic
Navier-Stokes Solution
  Capabilities:
· Laminar, Transitional, or Turbulent Flow
· Orifice Compensated
· Any Number of Rectangular Recesses In Single Row
· Arbitrary Recess Axial Location
  Features:
· Full supply line volume and recess volume modeling.
· Asymmetric pressure boundary condition.
· Allows for tapered clearances.
· Automatically sizes orifices to achieve desired pressure ratio.
  Analysis Results:
· Dynamic Results: Stiffness, damping, and mass coefficients and whirl frequency ratio.
· Static Results General: Eccentricity, attitude angle, flow rate, power loss, peak film pressure, peak housing temperature, and peak fluid temperature.
· Determines presence of pneumatic hammer.
B3) Ball and Roller Journal Configurations
Quasi-Static (Jones) Solution
  Capabilities:
· Simplex and Duplex Ball
· Cylindrical Roller
· Tapered Roller
· Spherical Roller
  Features:
· Full non-linear treatment of Hertzian contact between rolling elements and races.
· Deadband model predicts asymmetric direct stiffness coefficients.
  Analysis Results:
· Calculates direct stiffness coefficients, axial endplay, and approximate 5 degree of freedom stiffness matrix.
· Calculates individual element loading, contact angle, and stress.
· Reports defect frequencies.
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THRUST BEARING ANALYSIS

BT1) Hydrodynamic, Fixed Geometry
Navier-Stokes Solution
  Capabilities:
· Laminar, Transitional, or Turbulent Flow
· Full Thermal Model
· Tapered Land, Compound, Nonlinear Profile
· Pressure Dam
  Features:
· Allows for compound surface profiles with nonlinear clearances.
· Two operating modes: enter load and determine shaft operating position, or specify a shaft location and solve for reaction load.
· Solution method solves momentum (Navier-Stokes based), continuity, and energy (including momentum effects) equations.
· Thermal model includes convection to shaft and housing, and conduction through housing. Note that housing model allows for analysis of two dissimilar materials (i.e., babbitt and steel, polyimide and steel, etc.).
· Hot fluid carry over model.
· Groove model accounting for pressure effect of flow preswirl.
· Automatic grid generation.
· Automated initial guess algorithm when entering load and iterating on the journal's equilibrium position.
· Contains library of oil properties for popular ISO grades.
  Analysis Results:
· Dynamic Results: Axial stiffness, damping, and mass coefficients.
· Static Results General: Flow rate, power loss, peak film pressure, peak housing temperature, peak fluid temperature, minimum film thickness
BT2) Hydrodynamic, Spiral Groove
Navier-Stokes Solution
  Capabilities:
· Laminar, Transitional, or Turbulent Flow
· Full Thermal Model
· Arbitrary Groove Profile
  Features:
· Allows for compound surface profiles with nonlinear clearances.
· Two operating modes: enter load and determine shaft operating position, or specify a shaft location and solve for reaction load.
· Solution method solves momentum (Navier-Stokes based), continuity, and energy (including momentum effects) equations.
· Thermal model includes convection to shaft and housing, and conduction through housing. Note that housing model allows for analysis of two dissimilar materials (i.e., babbitt and steel, polyimide and steel, etc.).
· Hot fluid carry over model.
· Groove model accounting for pressure effect of flow preswirl.
· Automatic grid generation.
· Automated initial guess algorithm when entering load and iterating on the journal's equilibrium position.
· Contains library of oil properties for popular ISO grades.
  Analysis Results:
· Dynamic Results: Axial stiffness, damping, and mass coefficients.
· Static Results General: Flow rate, power loss, peak film pressure, peak housing temperature, peak fluid temperature, minimum film thickness.
BT3) Hydrodynamic, Tilting Pad
Navier-Stokes Solution
  Capabilities:
· Laminar, Transitional, or Turbulent Flow
· Full Thermal Model
  Features:
· Allows for compound surface profiles with nonlinear clearances.
· Two operating modes: enter load and determine shaft operating position, or specify a shaft location and solve for reaction load.
· Solution method solves momentum (Navier-Stokes based), continuity, and energy (including momentum effects) equations.
· Thermal model includes convection to shaft and housing, and conduction through housing. Note that housing model allows for analysis of two dissimilar materials (i.e., babbitt and steel, polyimide and steel, etc.).
· Pivot models include friction, radial stiffness, pad inertia, and pivot curvature effects.
· Hot fluid carry over model.
· Groove model accounting for pressure effect of flow preswirl.
· Automatic grid generation.
· Automated initial guess algorithm when entering load and iterating on the journal's equilibrium position.
· Contains library of oil properties for popular ISO grades.
  Analysis Results:
· Dynamic Results: Axial stiffness, damping, and mass coefficients.
· Static Results General: Flow rate, power loss, peak film pressure, peak housing temperature, peak fluid temperature, minimum film thickness, pad orientation.
BT4) Incompressible, Recessed, Orifice Compensated Hydrostatic Thrust
Navier-Stokes Solution
  Capabilities:
· Laminar or Turbulent Flow
· Any Number of Recesses
· Arbitrary recess location
  Features:
· Allows for tapered clearances.
· Automatically sizes orifices to achieve desired pressure ratio.
  Analysis Results:
· Calculates leakage rate, load capacity, and power loss.
· Determines presence of cavitation.
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MAGNETIC BEARING ANALYSIS

MB1) Nonlinear, Finite Element Journal and Thrust
  Capabilities:
· Heteropolar/Homopolar Journal or Thrust Bearings
· Any Number of Poles
  Features:
· Models nonlinearities: Eddy current losses, B-H curve, force flux relationship, air gap.
· Full model of shaft rotational effects.
· 2-D finite element representation of bearing.
  Analysis Results:
· Calculates flux distribution, load capacity, eccentricity, and power consumption.
· Determines direct and cross-coupled position and current stiffnesses.

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SEAL ANALYSIS

S1) Incompressible, Cylindrical and Tapered
Centered, Navier-Stokes Solution
  Capabilities:
· Laminar, Turbulent Flow, or Transitional Flow
· Fully Developed Flow (seal length · 80 times radial clearance)
· Interstage, Wear Ring, Balance Piston Seals, Etc.
  Features:
· Constant or linearly tapered clearances.
· Directionally homogeneous surface roughness.
· Can be used to analyze seals with circumferential grooves.
  Analysis Results:
· Calculates stiffness, damping, and added mass coefficients, leakage rate, power loss, and whirl frequency ratio.
S2) Incompressible, Cylindrical and Tapered
Eccentric, Navier-Stokes Solution
  Capabilities:
· Laminar, Turbulent Flow, or Transitional Flow
· Centered or Eccentric Operating Positions
· Fully Developed Flow (seal length · 80 times radial clearance)
· Interstage, Wear Ring, Balance Piston Seals, Etc.
  Features:
· Constant or linearly tapered clearances.
· Directionally homogeneous surface roughness.
· Can be used to analyze seals with circumferential grooves.
  Analysis Results:
· Calculates stiffness, damping, and added mass coefficients, load capacity, leakage rate, power loss, and whirl frequency ratio.
S3) Compressible, Cylindrical and Tapered
Centered, Navier-Stokes Solution
  Capabilities:
· Turbulent Flow
· Fully Developed Flow (seal length · 80 times radial clearance)
· Interstage, Eye, Balance Piston Seals, Etc.
  Features:
· Constant or linearly tapered clearances.
· Directionally homogeneous surface roughness.
· Can be used to analyze seals with circumferential grooves.
  Analysis Results:
· Calculates stiffness and damping coefficients, leakage rate, power loss, and whirl frequency ratio.
S4) Compressible, Labyrinth and Honeycomb Analysis
Centered, Navier-Stokes Solution
  Capabilities:
· Turbulent Flow
· Fully Developed Flow (seal length · 80 times radial clearance)
· Interstage, Eye, Balance Piston Seals, Etc.
· TOS and TOR See-through Labyrinths
· TOS and TOR Stepped Labyrinths
· TOS Staggered Labyrinths
· Interlocking Labyrinths
· Honeycomb Stator/Smooth Rotor
  Features:
· Constant or linearly tapered clearances.
· Directionally homogeneous surface roughness.
· User defined stator grooves to simulate geometry changes due to rotating teeth cutting into abradable stator materials.
· Honeycomb analysis predicts coefficients for representative labyrinth replacement seals. Results do not include cell geometry.
· Stepped seal capability limited to configurations with one central tooth on each step. Steps may be either converging or diverging.
· Staggered seal capability is limited to configurations with one central tooth on each step.
  Analysis Results:
· Calculates stiffness and damping coefficients, leakage rate, cavity pressures, and whirl frequency ratio.
· Rotordynamic coefficients suitable for direct inclusion into rotordynamic analysis.
S5) Compressible, Honeycomb Design
Centered, Navier-Stokes Solution
  Capabilities:
· Turbulent Flow
· Fully Developed Flow (seal length · 80 times radial clearance)
· Interstage, Eye, Balance Piston Seals, Etc.
· Honeycomb Stator/Smooth Rotor
  Features:
· Constant or linearly tapered clearances.
· Directionally homogeneous rotor surface roughness.
· Honeycomb analysis allows for evaluation of existing and new optimized cell seals. Results include optimum cell depth with tolerances.
  Analysis Results:
· Calculates stiffness and damping coefficients, leakage rate, cavity pressures, and whirl frequency ratio.
· Predicted rotordynamic coefficients have been validated against existing test data and are suitable for direct inclusion into rotordynamic analysis.
S6) Incompressible, Hole Pattern Design
Centered, Navier-Stokes Solution
  Capabilities:
· Turbulent Flow
· Fully Developed Flow (seal length · 80 times radial clearance)
· Interstage, Wear Ring, Balance Piston Seals, Etc.
· Hole Pattern Stator/Smooth Rotor
  Features:
· Constant or linearly tapered clearances.
· Directionally homogeneous rotor surface roughness.
· Hole pattern analysis allows for evaluation of existing and new optimized seals. Results include optimum hole geometry with tolerances.
  Analysis Results:
· Calculates stiffness, damping, and added mass coefficients, leakage rate, and whirl frequency ratio.
· Predicted rotordynamic coefficients have been validated against existing test data and are suitable for direct inclusion into rotordynamic analysis.
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TOOLS

M1) Mass and Inertia Calculation for Irregular Shapes
Surface of Revolution Model
  Capabilities:
· Analysis of non-axisymmetric, non-cylindrical components
· Analysis of non-axisymmetric, non-cylindrical assemblies
· Applications include Impellers, Turbines, and Couplings
  Features:
· User may represent a component (or assembly) as a set of separate sections having different density and solidity properties.
· Surface of revolution calculation utilizes ASCII listing of 2-D coordinates to define geometry. Coordinates may be obtained by digitizing a scaled drawing or outputting a listing of coordinates from a CAD package.
· Preprocessor includes an effective density calculator for representation of section with up to 3 different density/solidity pairs. Designed to determine effective density of wet components (i.e. impellers).
· Although not specifically designed for it, the digitization capability may be used to digitize curves on a 2-D plot to obtain the data in electronic form for manipulation or regeneration.
  Analysis Results:
· Calculates polar and transverse moments of inertia, mass, and center of gravity for each individual section and for the entire component (or assembly).
M2) Radial Interference/Clearance Calculator
Various Models
  Capabilities:
· Analysis of assemblies consisting of cylindrical components
· Assemblies of up to 2 rotating and 2 stationary components
· Determine bearing and seal operating clearances
· Assess impeller pilot integrity under operating conditions
  Features:
· Used to model assemblies consisting of up to four components; shaft, shaft sleeve, housing insert, and housing. Analysis assumes that all components can be represented as cylinders.
· Includes models to determine the effect of differential thermal growth, centrifugal growth, compression/expansion due to radial interferences, and component tolerances.
  Analysis Results:
· Calculates fits between all components for unassembled, assembled, operating, and storage conditions. When interferences exist between components, maximum stresses are calculated.
· All results are for minimum and maximum conditions caused by tolerances on components.
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