Interactive Visualization of Nonlinear Cantilever Bending Using a Rod Theory-Based Graphical User Interface

Muhammad Hassaan Ahmed, Utkarsh Srivastava, Ranjan Das, and Sachin Goyal
J. Comput. Nonlinear Dynam. Jul 2026, 21(7): 071005
https://doi.org/10.1115/1.4071926

This paper presents an interactive graphical user interface (GUI) for studying large-deformation bending of cantilever beams using a geometrically exact nonlinear rod model. The tool allows users to directly compare the predictions of classical small-deflection beam theory with nonlinear large-deformation behavior in real time. This makes it easier to see how geometric nonlinearities affect the structural response as the deformation increases. Most educational beam visualization tools are limited to linear theory, but the approach used in this work can efficiently handle large deformations through a two-step initial value formulation. Because of this, users can quickly explore different parameter values without relying on computationally expensive iterative boundary-value solution methods. To evaluate the accuracy of the framework, the results from the GUI were compared with analytical solutions, nonlinear finite element simulations, and an experimentally validated computational rod model. The comparisons showed good agreement across the different methods and confirmed the numerical stability of the implementation. The GUI was developed with both teaching and research applications in mind. Its interactive design provides an accessible way for students and researchers to explore nonlinear structural mechanics and better understand geometrically exact rod behavior.