Response of oddly-stiffened circular cylindrical shells

作者: N.L. Basdekas , M. Chi

DOI: 10.1016/0022-460X(71)90454-8

关键词: MathematicsNormal modeStiffeningClassical mechanicsShell (structure)Virtual workInertiaVariational methodOrdinary differential equationMechanicsGeneralized forces

摘要: Abstract The dynamic response of an oddly-stiffened cylindrical shell structure is analyzed. In the formulation, allowed to have any prescribed thickness variation, number stiffening rings arbitrary non-uniform cross-section and spacing, and, in addition, concentrated masses, attached either or rings. method solution a modified variational method. First, displacement assumed be representable by series product normal modes simple uniform unknown functions which are dependent only on time. effects non-uniformity shell, presence masses taken into account generalized forces resulting from strain energy inertia. minimization virtual work these external loads yields infinite system coupled, second-order, ordinary differential equations. truncated can then integrated standard methods. Finally, we explain how formulation used solve related problems including static response, natural frequencies determination, elastic stability, vibrations structure-fluid interaction problems.

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