Coherence Aware Linear Aeroelastic Response of Iced Inclined Stay Cables: Baseline Model and Parametric Study

Icing combined with cross-flow wind can induce large or even critical oscillations in inclined stay cables, yet current design guidance is fragmented when both cable inclination and spanwise coherence affect dynamic response. This study develops a linear modal reduced-order model (ROM) for taut, pinned-end inclined stay cables: it incorporates iced lift/drag coefficient tables, derives modal aerodynamic damping via quasi-steady aerodynamic linearization and a Den Hartog-style metric, and characterizes harmonic vortex-induced excitation through spanwise-coherence projection. The framework supports systematic sweeps of cable length, inclination angle, and ice shape variants, outputting vibration mitigation-oriented design quantities. Key results include: (i) Modal critical onset wind speeds, with explicit mode-dependent scaling by cable length, structural damping, pretension, air density, and the positive Den Hartog stability function; (ii) Variations in critical wind speeds and response amplitudes with cable length, inclination angle, and iced cross-sectional geometry; (iii) Coherence-controlled mode selection, including robust even-mode excitation via phase asymmetry; and (iv) Orientation/mitigation guidance. This reproducible baseline model is directly applicable to engineering studies and serves as a platform for nonlinear and stochastic extensions.