Bending of skew plates by spline-finite-strip method

Abstract

Spline finite strip was devised by Cheung et al. in 1982 [1]. Unlike the standard finite element method, this method employs B-3spline function for interpolation in one direction and local Hermite cubic polynomial in the other direction. The general form of displacement function is given as their product. Extensive numerical examples on right plates and shells were well documented by Cheung et al. [1]. but the applicability of this method in the analysis of skew plates remains unexplored. The main theme of the present paper is to generalize the technique to include parallelogram plates. As this extension still retains the banded nature, only a small amount of extra computing effort is required. The convergence of the method is established and it is supported by numerous examples of different loading and support conditions. It has shown that spline finite strip method, which requires less variables for interpolation, can achieve the same order of accuracy as the conforming finite element. © 1986.