The vortex-induced vibration characteristics of transmission conductors under wind fields constitute a critical factor influencing structural safety. This study establishes a three-dimensional fluid–structure interaction numerical model based on the large eddy simulation method, systematically investigating the two-degree-of-freedom vibration characteristics of transmission conductors in pulsating wind fields. The vibration process evolves through four distinct stages: initial small-amplitude steady state, frequency-locked large-amplitude state, transitional modulation phase, and ultimately nonlinear chaotic stage under high wind speeds. The research reveals that within specific parameter ranges of reduced wind speed (4 < Ur< 5) and transverse displacement amplitude ratio (0.7 <Ay< 1) identified as the transition zone of vortex wake modes, the wake flow exhibits unique unsteady characteristics. This transition in vortex shedding patterns triggers significant fluid–structure interaction effects, resulting in substantial enhancement of alongwind displacement. Analysis of aerodynamic work shows that drag force performs predominantly positive work during lock-in and nonlinear stages, sustaining streamwise motion, while lift force does negative work at crosswind peaks, limiting lateral excursions. These findings clarify the multi-stage evolution of vortex-induced vibration, elucidate the wake-driven mechanism of high-amplitude vibration, and quantify the complementary roles of shear-layer instability and phase-dependent lift/drag work in governing conductor dynamics.

An ordinary state-based peridynamic (OSPD) approach combined with an interaction integral method is proposed to calculate dynamic stress intensity factors (DSIFs) and simulate crack propagation in two-dimensional cracked brittle solids. Numerical investigations are carried out for mode I and mixed-mode cracked plates under static, quasi-static, and dynamic loading conditions. A local damping scheme is incorporated into the peridynamic equations of motion to achieve convergence in static and quasi-static analyses. The influence of circular holes on DSIFs and crack propagation paths is systematically examined. Quantitative analyses of elastic deformation and quasi-static fracture behavior for mode I and mixed-mode cracks are verified through the uniaxial tension of a slab. The peak values of DSIFs exceed their static counterparts under dynamic loading. Complex dynamic fracture phenomena, including crack branching in both straight and inclined edge cracks, are successfully captured. The results obtained by the OSPD approach are validated through comparisons with theoretical benchmarks and finite element results, demonstrating high accuracy and effectiveness in calculating elastic deformation and stress intensity factors (SIFs), as well as accurately predicting crack propagation paths in quasi-static and dynamic fracture problems in brittle solids. Beyond the benchmark problems, the proposed OSPD approach is particularly well-suited for investigating more complex fracture systems.