A meshfree approach for geometrically exact shear-deformable beams

Resumo

Besides the finite element method (FEM), a number of numerical methods have been proposed in the
literature for the analysis of geometrically exact shear deformable beams, developed to improve the convergence

properties and the shear-locking behaviour exhibited by the finite element method. This paper illustrates some pre-
liminary results obtained with the application of a meshfree method of the family of Smoothed Point Interpolation

Methods (SPIMs) to the analysis of a geometrically exact shear deformable beam. Among the possibilities of shape
functions creation, the so-called edge-based approach with polynomial basis is extended for this one-dimensional
model. A classic example is solved numerically to validate the code. The resulting nonlinear system of equations
is treated by a Newton-like algorithm with load control.