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The symbolic manipulator Mathematica is used to implement a procedure combining the theory of elasticity, differential geometry, calculus of variations, and variational techniques to derive and solve a set of equations that approximates the nonlinear steady-state response of pressurized spinning toroidal shells. The nonlinearity is geometric and the torus is fiber reinforced along its major direction. The resulting set of nonlinear equations is solved for various values of the applied pressure, fiber content, and spinning speeds. Qualitative results are obtained and linear results are compared and contrasted to nonlinear results.
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