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Abstract
A novel approach for the determination of the fundamental frequency of stiffened plates is presented. As a first stage, the governing differential equations for the structure are derived. Then, an energy formulation is presented in which the structure is idealized as assembled plate and stiffener elements, rigidly connected at their junctions. The non-linear strain energy function of the assembled structure is then transformed into an unconstrained optimization problem and Sequential Quadratic Programming (SQP) is used to determine the magnitudes of the lowest natural frequency and the associated mode shape. Using the described algorithm, results are presented showing the variation of the natural frequency with plate/stiffener geometric parameters for various concentric and eccentric stiffening configurations.
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