Spline finite elements for beam and plate
Author(s)
Author(s)
Au, F. T. K.
Date Issued
1990
Publisher
Elsevier
Journal
Computers & Structures
Volume
37
Issue
5
Start page
717
End page
729
Abstract
The choice of B3-spline functions as displacement functions for beams and plates has many advantages. However, it suffers from the fact that some spline parameters are located outside the element thus making the assembly of elements and the introduction of boundary conditions difficult. Beam and plate finite elements formed by B3-splines are developed in general finite element context. By means of boundary transformation, the spline functions are expressed in terms of physical coordinates at the boundary resulting in the required shape functions. The stiffness matrix, mass matrix and load vector of an element can similarly be related to the physical coordinates. The results converge to the exact solutions in a faster rate than the conventional finite elements using the same number of coordinates. A number of examples are given for demonstration.
SFU Affiliated Publication
No
Availability at SFU Library
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