Boundary-type Ritz method for the analysis of arbitrarily shaped polygonal plates

This study presents an upgraded Ritz method capable of providing solutions to thin polygonal plates of regular and irregular shapes with various boundary conditions. The method presented herein is called the Boundary-Type Ritz (BTR) Method and it circumvents the complexity of the involved domains by transforming the encountered integrals to other forms that need to be evaluated only at corners. This leads to very fast computations with full...