Abstract
In this paper, we utilize the Finite Element (FE) method to model twisting of long thin rods and capture the bifurcation scenarios leading to heli- cal buckling and various further post-buckling states. Since standard nonlinear beam elements do not account for nonlinearity in torsional mode, we derive a modified beam element, which allows to model complex torsional buckling bifurcation scenarios of a thin rod subjected to twisting load. A series of veri- fication tests (static analysis with load stepping) of the developed code are per- formed to determine critical torsional buckling loads for various helical buck- ling modes and compared with ABAQUS FE simulation.
Highlights
The study of helical buckling of long thin rods represents an interesting field of research, which allows to gain a deeper insight into various post-buckling configurations and study interplay between them
We utilize the Finite Element (FE) method to describe twisting of long thin rods and capture the bifurcation scenarios leading to helical buckling and various further post-buckling states
In order to gain a deeper understanding into helical buckling of long rods, it is vital to have an efficient and robust finite elements, that can precisely capture the coupling between twisting and bending degrees of freedom
Summary
The study of helical buckling of long thin rods represents an interesting field of research, which allows to gain a deeper insight into various post-buckling configurations and study interplay between them. Helical buckling represents a significant modelling challenge, which has been tackled in the past using analytical approaches [1, 5, 6] that allowed to identify various post-buckling helical modes in long twisted and stretched/compressed rods. We utilize the Finite Element (FE) method to describe twisting of long thin rods and capture the bifurcation scenarios leading to helical buckling and various further post-buckling states
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
