Finite Element Dynamic Analysis of Thin Plates With Complicated Geometry
The plates used as structural elements in the field of aerospace, naval and civil engineering take different shapes due to their functional and structural requirements as well as aesthetic considerations. In this paper, finite element dynamic analysis of different complicated shaped thin plates is presented. In the formulation, the arbitrary planform of the whole plate is mapped into a square domain where a cubic serendipity shape function is used to represent the complicated geometry and an ACM plate bending element is considered for the displacement function. This element is capable to model different geometries just like isoparametric element without the shear locking problem and generation of spurious mechanisms which is inherent in the isoparametric formulation.
Keywordó Plate Bending, Finite Element Method, Thin Plate, Dynamic Analysis.