INCREMENTAL VARIATIONAL METHOD FOR THE LARGE DISPLACEMENT ANALYSIS OF SHELLS WITH GEOMETRIC IMPERFECTIONS

For an elastic thin cylindrical shell with arbitrary geometric imperfections a refined finite element stiffness matrix is precisely formulated in terms of Lagrangian variables. A general incremental variational principle is developed to relate the strain tensor of the actual imperfect shell to the first and second order incremental Green strain tensors of the perfect shell. Applying to the variational principle a complete cubic polynomial coordinate function for the nodal normal displacement, and a linear function for the nodal in-plane displacements, the incremental stiffness matrix of a triangular curved shell element is obtained. For a shell with arbitrary geometry, the element stiffness matrix is evaluated by numerical integration.

• Corporate Authors:

  Notre Dame University

  College of Engineering
  Notre Dame, Indiana,   United States  46556
• Authors:
  • Mak, C K
  • Kao, D W
  • Lee, LHN
• Publication Date: 1972-8

Media Info

• Pagination: 34 p.

Subject/Index Terms

• TRT Terms: Buckling; Cylinders (Geometry); Finite element method; Shells (Structural forms); Stiffness matrix; Structural analysis
• Uncontrolled Terms: Cylindrical shells
• Old TRIS Terms: Stiffness matrices
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00041282
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: UND-72-5 Tech Rpt
• Contract Numbers: N00014-68-A-0152
• Files: TRIS
• Created Date: Mar 2 1973 12:00AM