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

Abstract

The weighted extended B-spline method [Höllig (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 Bspline 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.

A finite strip for the vibration analysis of rotating cylindrical shells

“…(49) have to be rearranged accordingly. Hence, one may write (51) The coupling between the membrane and bending deformations is very strong and is realised by the stiffness matrix [K], Eq. (37).…”

“…Due to this advantage, the method is widely used in the structural analysis of engineering structures. Some recent publications on different problems are included in the reference list [47][48][49][50][51][52][53][54][55]. All the articles are published in the Thin-Walled Structures journal as a major forum for the development of the finite strip method.…”

Stable isogeometric analysis of trimmed geometries

“…Usually, extended B-spline applications are tailored to the uniform case, e.g. [1,31,34,37], most likely because this simplifies the construction. However, the concept is by no means restricted to uniform parameter spaces.…”