r4.06.03 Cyclic dynamic substructuring

Summary:

This report is based on the notions of modal synthesis calculation described in the document [R4.06.02].

We discuss cyclical dynamic substructuring methods. Completely dedicated to the study of structures with cyclic repetitiveness, they make the most of the geometric particularities of the structure. The methods of CRAIG - BAMPTON and MAC NEAL, developed in this framework, are presented.

Table of Contents

• 1. Introduction
• 2. Cyclic repeatability
  • 2.1. Definition
  • 2.2. Wave propagation
  • 2.3. Notion of diameters and nodal circles
  • 2.4. Boundary conditions
• 3. Cyclic substructuring methods
  • 3.1. Craig-Bampton method
  • 3.2. Mac Neal method
  • 3.3. Taking into account axis nodes - Craig & Bampton method
• 4. Implemented in Code_Aster
• 5. Conclusion
• 6. Bibliography
• 7. Description of document versions