Multimodal galloping analysis of suspended cables with nonlinear internal damping and aerodynamic refinement

This study presents a comprehensive computational framework for analyzing the galloping behavior of suspended cables, overcoming key limitations in traditional approaches. Specifically, we address: (1) multimodal dynamics that capture complex interactions beyond low-order approximations, (2) nonlinear internal damping modeled via a Kelvin-Voigt viscoelastic approach, and (3) advanced aerodynamic modeling through spline interpolation. Our approach employs Galerkin discretization, incorporating a broader set of modes for more accurate results, and utilizes adaptive time-stepping and vectorized matrix operations for computational efficiency. Validation with finite element method (FEM) simulations confirms the accuracy of the model under various wind conditions. Our results demonstrate that internal damping plays a crucial role in galloping amplitude, while precise aerodynamic interpolation is essential for accurate predictions. This framework provides a robust methodology for predicting cable galloping, significantly enhancing stability predictions and offering practical insights for structural safety assessments.