Abstract

Two new variational functionals are introduced for buckling analysis of cylindrical shells. In the first, admissible functions satisfy all the equilibrium equations and the Euler-Lagrange equations emerge as a set of compatibility equations. In this sense this procedure complements the well known minimum potential energy method. In the second, the transverse equilibrium and membrane compatibility requirements are satisfied by the admissible functions and the system equations emerge as a set of membrane equilibrium and transverse compatibility equations. This formulation can be considered as complementary to Von Karman’s well known method. The new functionals are used to obtain solutions for 2 classic examples.

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