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On Exact and Hieracrhical Finite Elements for Frame Structures

In: Numerical Techniques for Engineering Analysis and Design

Author

Listed:
  • Ragnar Larsson

    (Chalmers Univ. of Techn., Dep. of Struc. Mech.)

  • Nils-Erik Wiberg

    (Chalmers Univ. of Techn., Dep. of Struc. Mech.)

Abstract

Summary If the approximation exactly fulfills the differential equation the FE-method is said to be exact. A single element then represents a continuous part of the structure and only a few elements are sufficient for an accurate result. The paper gives a unified discussion of the exact FE-method for frame structures and also shows that the load term can be handled by use of one ‘exact’ hierarchical base function.

Suggested Citation

  • Ragnar Larsson & Nils-Erik Wiberg, 1987. "On Exact and Hieracrhical Finite Elements for Frame Structures," Springer Books, in: G. N. Pande & J. Middleton (ed.), Numerical Techniques for Engineering Analysis and Design, chapter 0, pages 187-195, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-3653-9_22
    DOI: 10.1007/978-94-009-3653-9_22
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