NONLINEAR-ANALYSIS OF PRESSURIZED SPINNING FIBER-REINFORCED TORI

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 e quations that approximates the nonlinear steady-state response of pres surized spinning toroidal shells. The nonlinearity is geometric and th e torus is fiber reinforced along its major direction. The resulting s et 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 r esults.