The four natural boundary conditions are derived for a newly observed symmetry in Bourdon tube action. The problem is described by an eighth-order system of pde’s for a Donnell-type shell theory. These, together with boundary conditions for the geometric symmetry and for the free end with rigid plug, comprise a well-posed mathematical problem. It requires only one-fourth the integration domain of the problem posed without symmetry, hence reduces storage requirements in computer calculations to one-sixteenth the number for the original problem.
Boundary Conditions for Symmetry in Bourdon Tubes
R. F. Dressler
The City University of New York, New York, N. Y.
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Dressler, R. F. (March 1, 1972). "Boundary Conditions for Symmetry in Bourdon Tubes." ASME. J. Basic Eng. March 1972; 94(1): 67–70. https://doi.org/10.1115/1.3425388
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