<p>Bladeless wind generators are considered a promising technology for renewable energy due to their lower construction cost, capability to operate over a wide range of wind speeds, and suitability for urban environments. In this study, the rod component of the generator is modeled as a sandwich structure and analyzed using several higher-order shear deformation theories. Thus, forced vibration and fatigue analysis of sandwich composite rods for material optimization in wind turbine vortex generators based on a new higher order beam theory is investigated. The layers of the sandwich structure are optimally selected to maximize the vibration displacement. In addition, the influence of different foundation types on the rod behavior is investigated and compared with the free–clamped boundary condition. Furthermore, a hexagonal honeycomb core with zero Poisson’s ratio is employed to improve structural stiffness and performance relative to conventional core configurations. Given the continuous vibration exposure, a fatigue life analysis is also conducted to assess structural reliability during long-term operation. Furthermore, the system's energy-harvesting potential is evaluated by relating the mechanical oscillation energy to the electrical power output. By optimizing the structural parameters and maximizing the resonance amplitude, the energy conversion efficiency from vortex-induced vibrations is significantly enhanced. These design features collectively improve the efficiency, durability, and practical applicability of bladeless wind energy systems.</p>