Abstract This paper investigated the dynamic stability of reticulated shell structures under unsteady wind load. The parametric vibration equation of the reticulated shell under unsteady wind load was established according to the mode superposition method, from which the dynamic instability region and the wind-induced vibration responses were solved. Effects of different parametric excitation of the dynamic stability of the reticulated shell were discussed in detail. It is found that the unsteady wind load could not only cause the parametric vibration of the reticulated shell, but also the dynamic instability region with similar frequency would interlap and thus lead more intense vibrations to the reticulated shell. In particular, the parameter vibration of the reticulated shell could be effectively inhibited by changing the damping of the structure, and the safety of the structure could thus be improved.
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