Vibration, buckling and collapse of ovaloid toroidal tanks

A shell-theory finite element analysis is carried out for toroidal tanks with ovaloid cross-section. The analysis serves to determine the natural frequencies, and the buckling and collapse pressures. A variety of support conditions are considered, including lines of support at the inner and outer equator of the tank. For validation, comparison is made with previously published results for stress, vibration, and buckling of elliptical toroidal shells. Finally, a parametric study is carried out to determine the influence on the natural frequency, and buckling and collapse pressures, of shell size, shell thickness, material properties, and support conditions.