Over-Range Collocation Analyses of the Linear Elastic Cantilever Beam Problem

Abstract

The linear elastic cantilever beam problem is analyzed by using the over-range collocation method (ORCM). Because the over-range points are used only in interpolating calculation, no over-constrained condition is imposed into the solved problems. While the over-range points can be used in interpolating calculation of boundary points, so that the unsatisfactory issue of the positivity conditions of boundary points in collocation methods can be avoided. Convergence studies show that the ORCM possesses good convergence for both the displacement and deformation energy, and quite accurate numerical results have been obtained.