Visualizations of Nonlinear Phenomena of an Inclined Cantilevers by Mathematica

Abstract

In this study, numerical solution procedures by anintegral equation method are presented for the large deflection problem of an inclined cantilever by the elastica theory. Inclined cantilever with a load is analyzed systematically. The problem expressed by a class of nonlinear two-point boundary value problem is transformed into an integral equation by means of integration procedure. Using our numerical scheme, torque-turning angle curves and cantilever configurations are determined for the various loading parameters. Wang’s solutions are compared with our solutions obtained by integral equation method. We treat a cantilever with an end load,and various cantilever’s shape showing the large deformations in which we can recognize highly nonlinear phenomenon.The obtained results with various cantilever deformations are visualized by using Mathematica which is powerful computer algebra system.