A weighted extended B-spline solver for bending and buckling of stiffened plates. (October 2016)

• Record Type: Journal Article
• Authors: Verschaeve, Joris C.G.
• Is Part Of: Thin-walled structures. Volume 107(2016)
• Page Start: 580
• Page End: 596
• Publication Date: 2016-10
• Subjects: Kirchhoff plate -- Higher order accuracy -- Plane stress -- Airy's stress function; Thin-walled structures -- Periodicals; 690.1
• DOI: 10.1016/j.tws.2016.07.016
• Languages: English
• ISSNs: 0263-8231

Abstract

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 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. Abstract : Highlights: The weighted extended B-spline method is applied to bending and buck-ling problems of stiffened plates. A treatment for inhomogeneous Dirichlet boundary conditions is derived for the weighted extended B-spline method. A series of benchmark tests is performed in order to highlight how the accuracy is affected by different issues.