Abstract
The analysis of complicated plates using a newly developed nine-node quadrilateral spline plate element is presented. The element is based on Kirchhoff's plate theory with biquadratic Lagrangian shape functions for the transformation of geometry and B-spline shape functions for the interpolation of displacements. The accuracy and robustness of the element are checked by using a set of test problems that are capable of detecting inaccuracies due to shape distortion, large aspect ratio and other irregularities. Numerical examples on complicated plate structures such as plates with interior openings or mixed boundary conditions are reported to demonstrate the practical usefulness of the element.
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