A weighted extended B-spline solver for bending and buckling of stiffened plates

TL;DR

This paper applies the weighted extended B-spline method to analyze bending and buckling in stiffened plates, introducing a boundary extension algorithm and validating accuracy through benchmark tests.

Contribution

It develops a boundary data extension algorithm for the weighted extended B-spline method and demonstrates its effectiveness in bending and buckling analysis of stiffened plates.

Findings

Accurate modeling of stiffened plates under bending and buckling.

Effective handling of inhomogeneous boundary conditions.

Validation through comprehensive benchmark tests.

Abstract

The weighted extended B-spline method [Hoellig (2003)] is applied to bending and buckling problems of plates with different shapes and stiffener arrangements. The discrete equations are obtained from the energy contributions of the different components constituting the system by means of the Rayleigh-Ritz approach. The pre-buckling or plane stress is computed by means of Airy's stress function. A boundary data extension algorithm for the weighted extended B-spline method is derived in order to solve for inhomogeneous Dirichlet boundary conditions. A series of benchmark tests is performed touching various aspects influencing the accuracy of the method.