Cylindrical Shell Of Arbitrary Cross Section Research Articles

Aeroelastic Stability of Cylindrical Shells with Elliptical Cross-Section

A mathematical formulation and an algorithm for its numerical implementation are presented, intended to study the aeroelastic stability of cylindrical shells of arbitrary cross-section. The problem is solved in a three-dimensional formulation using the finite element method. The reliability of the results obtained is confirmed by comparison with the known solutions for circular shells. The dependences of the static pressure in an undisturbed gas flow, at which the loss of stability occurs, obtained for different ratios of the ellipse semiaxes and variants of the kinematic boundary conditions are analyzed. The possibility of increasing the boundaries of the aeroelastic stability of a cylindrical shell with an elliptical cross-section in comparison with a circular configuration in the case of cantilever fastening is demonstrated.

Minimum Energy Characterizations for the Solution of Saint-Venant's Problem in the Theory of Shells

The linear theory of Cosserat surfaces is employed to study Saint-Venant's problem for cylindrical shells of arbitrary cross-section. We prove minimum energy characterizations for the solution of the relaxed Saint-Venant's problem previously obtained. Then, we determine the global measures of strain appropriate to extension, bending, torsion and flexure for certain classes of solutions to the relaxed problem.

Transient response of cylindrical shells with arbitrary shaped sections

A new coordinate transformation function is presented, with the help of which a cylindrical shell of arbitrary cross-section can be mapped approximately into a circular cylindrical shell. Using this method, the transient response of a non-circular cylindrical shell subjected to a shock wave is obtained by the finite strip method. The versatility and accuracy of the method are amply demonstrated through a number of numerical examples.