NUMERICAL ANALYSIS OF UNSYMMETRICAL BENDING OF SHELLS OF REVOLUTION

A general numerical procedure, based on the linear theory of Sanders, is developed for the elastic stress and deflection analysis of a shell of revolution subjected to arbitrary loads and temperatures. The shell may have variable and discontinuous, but axisymmetric, geometrical and mechanical properties. The procedure involves the expansion of all pertinent load, stress, and deformation variables into Fourier series in the circumferential direction; the individual Fourier components of stress and deflection then are found separately by matrix solution of the finite-difference forms of appropriate differential equations in the meridional coordinate.