Buckling and Postbuckling Analyses of Structure using Absolute Nodal Coordinate Formulation

2nd International Conference on Mechanical Engineering and Applied Composite Materials

机械制造;材料工程

Shaukat, Abdur Rahman^1 ; Wang, Tengfei^1 ; Lan, Peng^1

School of Mechatronics Engineering, Harbin Institute of Technology, Harbin, China^1

关键词: Absolute nodal coordinate formulation;    Absolute nodal coordinate formulations (ANCF);    Arc length method;    Buckling and post-buckling;    Equilibrium path;    Euler buckling;    Finite element software;    Higher-order beams;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/544/1/012021/pdf
DOI  :  10.1088/1757-899X/544/1/012021

来源: IOP

【 摘 要 】

In this paper, the three dimensional higher order beam element based on the absolute nodal coordinate formulation (ANCF) is used to study both the classical buckling and the nonlinear postbuckling problem. The analyses are performed using the Newton-Raphson method and the arc length method. The Newton-Raphson method is used for the Euler buckling whereas the Crisfield's arc length method is applied to track the equilibrium path of the William's Toggle. The solutions agree well with the analytical one or that given by the commercial finite element software ANSYS. Hence, the validity of the analyses is demonstrated.