Buckling of plates with variable thickness—an analog equation solution

MS Nerantzaki, JT Katsikadelis - Engineering Analysis with Boundary …, 1996 - Elsevier
In this paper the analog equation method (AEM) is applied to buckling analysis of plates with
variable thicknss. According to this method the displacement and its derivatives in the fourth
order partial differential equation with variable coefficients are expressed in terms of a
fictitious load which is established from the integral equation solution of an adjoint analog
equation. The orginal eigenvalue problem for a differential equation of buckling is converted
into a typical linear eigenvalue problem for the discrete values of the fictitious load, from …
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