John Gray


The development of an axisymmetric ring finite element is presented and FORTRAN subroutines for implementing the capability into the MSC/NASTRAN finite element program are given. The element is an eightnoded isoparametric quadrilateral of quadratic order. The following matrices and capabilities are developed: 1. stiffness matrix for homogeneous isotropic materials, 2. thermal conductance matrix for homogeneous isotropic materials, 3. calculation of equivalent nodal forces due to temperature loads, 4. calculation of stresses, and 5. plotting of undeformed and deformed structures. Several classical thermal and structural problems are solved to demonstrate these capabilities. In all cases, the element results compare well with theory. Comparisons are made to existing MSC/NASTRAN axisymmetric finite elements. The new element shows increased accuracy compared to the existing elements. Convergence of the element is shown.

Library of Congress Subject Headings

NASTRAN; Finite element method; Structural engineering--Computer programs

Publication Date


Document Type


Department, Program, or Center

Mechanical Engineering (KGCOE)


Walters, Wayne

Advisor/Committee Member

Karlekar, Bhalchandra

Advisor/Committee Member

Rieger, Neville


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