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1. Introduction to Multistage Cyclic Symmetry Analyses
1.1. Uses for Multistage Cyclic Symmetry
1.2. Multistage Cyclic Symmetry Equations
1.2.1. Stage Equations
1.2.2. Cyclic Symmetry
1.2.3. Interstage Coupling
2. Multistage Cyclic Symmetry Analysis Overview
2.1. Commands Used in Multistage Cyclic Symmetry Analysis
2.2. Terminology Used in a Multistage Cyclic Symmetry Analysis
2.2.1. Glossary of Multistage Cyclic Symmetry Terms
2.3. References
2.3.1. Internal References
2.3.2. External References
3. Modeling a Multistage Analysis
3.1. Building the Model
3.1.1. Modeling a Stage
3.1.2. Combining Stages
3.2. Tips and Limitations
4. Applying Loads and Constraints
4.1. Applying Cyclic Constraints
4.2. Applying Interstage Constraints
4.3. Applying Loads and Additional Constraints
4.3.1. Additional Constraints
4.3.2. Loads
5. Solving a Multistage Analysis
5.1. Multistage Analysis Procedure Flow Diagrams
5.2. Multistage Analysis Procedures
5.2.1. Multistage Static Analysis
5.2.2. Multistage Modal Analysis
5.2.3. Multistage Harmonic Analysis
6. Postprocessing
6.1. Expansion
6.1.1. Initial Expansion
6.1.2. Subsequent Expansions
6.1.3. Resetting the Database
6.1.4. Expansion of Multiharmonic Stages
6.2. Multistage results
6.3. Multistage Expansion and Postprocessing Tips and Limitations
7. Examples
7.1. Example: Static Analysis of a Compressor Model with 4 Axial Stages Without a Duplicate Sector
7.1.1. Problem Description
7.1.2. Analysis Steps
7.1.3. Input for the Analysis
7.1.4. Results
7.2. Example: Linear Perturbation Modal Analysis of a Simplified Model with 2 Axial Stages and a Non-planar Interstage Boundary
7.2.1. Problem Description
7.2.2. Analysis Steps
7.2.3. Input for the Analysis
7.2.4. Results
7.3. Example: Modal Analysis of Turbomachinery Stage Modeled as 2 Radial Stages with Offset Cyclic Edge Starting Points
7.3.1. Problem Description
7.3.2. Analysis Steps
7.3.3. Input for the Analysis
7.3.4. Analysis Results
7.4. Example: Mutistage Multiharmonic Modal Analysis of a Hollow Cylinder Modeled Using 2 Stages
7.4.1. Problem Description
7.4.2. Analysis Steps
7.4.3. Input for the Analysis
7.4.4. Multistage Output Listing
7.4.5. Analysis Results
7.5. Example: Multiharmonic Linear Perturbation Modal Analysis of a Simplified Model with 3 Axial Stages
7.5.1. Problem Description
7.5.2. Analysis Steps
7.5.3. Input for the Analysis
7.5.4. Results
7.6. Linear Perturbation Harmonic Response Analysis of Two Stages
7.6.1. Problem Description
7.6.2. Analysis Steps
7.6.3. Input for the Analysis
7.6.4. Results
7.7. Linear Perturbation Mode-superposition Harmonic Response Analysis of Two Stages
7.7.1. Problem Description
7.7.2. Analysis Steps
7.7.3. Input for the Analysis
7.7.4. Results