Radial spline collocation method for static analysis of beams
Resource
Applied Mathematics and Computation,201,184-199.
Journal
Applied Mathematics and Computation
Pages
184-199
Date Issued
2008-04
Date
2008-04
Author(s)
Wu, L.Y.
Chung, L.L.
Huang, X.H.
Abstract
Conventional spline collocation method (SCM) uses equally spaced knots in the computation of approximation. However, when load distribution, geometry, material property of structure are discontinuous, it will greatly reduce accuracy. The goal of this paper is mainly to develop unequally spaced knots to improve the disadvantage of using equally spaced knots. Applying the concept of radial basis functions (RBF), the spline function is transformed into radial spline function (RSF). Consequently, RSF can conveniently calculate the values for unequally spaced knots, so that the complicated beam problems with discontinuous characteristics can be solved accurately and efficiently by the proposed radial spline collocation method (RSCM) in this paper. The proposed RSCM also can be extended to solve other structural problems such as frame, plate, shell, etc. © 2007 Elsevier Inc. All rights reserved.
Type
journal article