TITLE:
Planar Weak Form Quadrature Beam Elements Based on Absolute Nodal Coordinate Formulation: A Structural Mechanics Approach
AUTHORS:
Huayi Li, Hongzhi Zhong
KEYWORDS:
Absolute Nodal Coordinate Formulation, Weak Form Quadrature Element, Geometrically Nonlinear Analysis
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.11,
November
30,
2022
ABSTRACT: A planar nonlinear weak form quadrature beam element of arbitrary number of axial nodes is proposed on the basis of the absolute nodal coordinate formulation (ANCF). Elastic forces of the element are established through geometrically exact beam theory, resulting in good consistency with classical beam theory. Two examples with strong geometrical nonlinearity are presented to verify the effec-tiveness of the formulation.