Example Problems Manual

Front Matter:

• Abstract
• Acknowledgments

Main Content:

• 1. Solution Cases
• 2. Transient Simulation about Sierra/SM Preload
• 3. Linear Solvers
• 4. Comparing Sierra SM Explicit Transient to Direct and Modal FRF
• 5. Craig-Bampton Reduction
  • 5.1. Input Required
    • 5.1.1. Solution
    • 5.1.2. CBModel
    • 5.1.3. History
  • 5.2. Mesh
  • 5.3. Example
  • 5.4. Verification of the Model
    • 5.4.1. Comparison of Reduced and Full Eigenvalues
    • 5.4.2. Comparison of Reduced and Full Displacements
  • 5.5. What to do with the Results
    • 5.5.1. solving the system
    • 5.5.2. Incorporate the reduced model into another system model
• 6. Superelements
  • 6.1. Superelement Example
  • 6.2. Submodel Model Extraction and Reduction
    • 6.2.1. SE1: The lower structure with a small interface
    • 6.2.2. SE2: The upper structure with a larger interface
  • 6.3. Superelement Insertion
  • 6.4. Visualization
• 7. Eigenvalue Problems
  • 7.1. Geometric Rigid Body Modes
• 8. Modal Transient
  • 8.1. Process for serial integration
    • 8.1.1. Compute modes of the system model
    • 8.1.2. Extract Modal force
    • 8.1.3. Perform Time Integration of Modal Space
    • 8.1.4. Expand to Physical Space
  • 8.2. How to Use Results
    • 8.2.1. Related Calculations
  • 8.3. Limitations
  • 8.4. Verification
• 9. Modal Random Vibration
  • 9.1. Solution
  • 9.2. RanLoads
    • 9.2.1. Matrix-Function
    • 9.2.2. Function
    • 9.2.3. Frequency
    • 9.2.4. Damping
    • 9.2.5. Output
    • 9.2.6. Echo
  • 9.3. Single Input Random Load Example
  • 9.4. Verification of the Model
  • 9.5. What to do with the Results
  • 9.6. Limitations, Suggestions and Cautions
• 10. Fatigue
  • 10.1. Example Fatigue Model
    • 10.1.1. Geometry
    • 10.1.2. Materials
    • 10.1.3. Loads
  • 10.2. Results
    • 10.2.1. Frequency Domain
    • 10.2.2. Time Domain
    • 10.2.3. Comparison
• 11. Coupled Electro-mechanical Physics
  • 11.1. Piezoelectric Material Input
  • 11.2. Boundary Conditions
  • 11.3. Transient Response Results
  • 11.4. Linear System Solver Issues and Recommendations
• 12. System Level Matrices of Viscoelastic FEA Model
• 13. General Element Coordinate System
• 14. Infinite Elements
  • 14.1. Far-Field Postprocessing
• 15. Acoustic Scattering
  • 15.1. Scattering Sphere
    • 15.1.1. Solution
    • 15.1.2. Loads
    • 15.1.3. Functions
    • 15.1.4. Tied Data
    • 15.1.5. Outputs
• 16. Random Pressure Loads
  • 16.1. Example Problem Set-up
  • 16.2. Example: Input Specifications
  • 16.3. Example: Verifying the Load
    • 16.3.1. Average Nodal Force
    • 16.3.2. Variance of Nodal Force
    • 16.3.3. Temporal Nodal Force Autocorrelation
    • 16.3.4. Spatial Cross Correlation
  • 16.4. Random Pressure Comments
    • 16.4.1. Effective Area
    • 16.4.2. Temporal Interpolation
    • 16.4.3. Singularities
    • 16.4.4. Time Step
    • 16.4.5. Sinc Function
  • 16.5. Memory, Performance, Parallel and Anything Else of Interest
• 17. Lighthill Tensor Loading
  • 17.1. Mesh Deformation For Fuego
  • 17.2. Fuego Simulation
  • 17.3. Processing Fuego output for Sierra/SD
  • 17.4. Mesh for Sierra/SD
  • 17.5. Sierra/SD simulation
• 18. Pressure Transfer
• 19. Rotating Reference Frame
• 20. Tied Joints
  • 20.1. Lap joint
  • 20.2. Joint with Slip

Back Matter:

• References