A CURVILINEAR SHELL FINITE ELEMENT.

Abstract

A doubly curved element for a shell of revolution which has arbitrarily curved meridians is developed and analyzed. Meridional curvature is calculated using a highly accurate polynomial approximation. The displacement functions selected satisfy interelement compatibility and contain all the lower modes of a complete set of straining functions. Non-straining modes corresponding to rigid body motions are introduced into the final stiffness matrix for any conceivable rigid body motions. The direct stiffness method was used to construct a stress and strain analysis program and the results of the analysis of a few problems are compared to classical solutions to establish the integrity of the element. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1969
Accession Number
AD0704514

Entities

People

  • Dean William Kiess

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Curvature
  • Displacement
  • Geometric Forms
  • Geometry
  • Lines (Geometry)
  • Mathematics
  • Polynomials
  • Revolutions
  • Stiffness

Fields of Study

  • Engineering

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.