A High Precision Axisymmetric Triangular Element Used in the Analysis of Hydraulic Turbine Components

[+] Author and Article Information
S. Chacour

Allis-Chalmers Manufacturing Co., Hydraulic Products Division, York, Pa.

J. Basic Eng 92(4), 819-826 (Dec 01, 1970) (8 pages) doi:10.1115/1.3425152 History: Received February 25, 1970; Online October 27, 2010


A structural analysis program (Axibody) using conforming triangular finite elements is developed and applied to the study of composite axi-symmetric structures. Two types of elements are used: a novel axi-symmetric ring element and a two-dimensional plain stress element of varying thickness. The displacements in both cases are represented by a complete third-degree polynomial. The derivation of the stiffness and the consistent equivalent load matrices of the elements are described as well as a brief note on the program. Several examples are treated and the results are compared with the theoretical solution. A direct comparison with the results of a strain gauge test performed on a large stay ring—spiral case assembly is also made. Excellent agreement is obtained in all cases.

Copyright © 1970 by ASME
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