A new family of curvilinear plate bending elements for vibration and stability

Abstract A new family of non-conforming plate bending elements is derived. The basic element is a quadrilateral with four nodes. Extensions to this element provide for mid-side nodes making eight and twelve nodes in all and enabling the element to have curved sides. The isoparametric two-dimensional transformation is used to straighten the element sides. Nodal displacements on these elements are all geometrical (one transverse and two slopes) and hence the element may be used in very general folded plate structures with stiffening ribs. Examples of results are given to show the order of accuracy which can be achieved by using the elements. The examples also show the order of permissible distortion from the basic rectangular shape.