Planar Weak Form Quadrature Beam Elements Based on Absolute Nodal Coordinate Formulation: A Structural Mechanics Approach

A planar nonlinear weak form quadrature beam element of arbitrary number axial nodes is proposed on the basis absolute nodal coordinate formulation (ANCF). Elastic forces are established through geometrically exact theory, resulting in good consistency with classical theory. Two examples strong geometrical nonlinearity presented to verify effec-tiveness formulation.