Random vibration and structural reliability of composite hyperbolic–parabolic membrane structures under wind load

The paper presents the random vibration and structural reliability of composite hyperbolic–parabolic membrane structures under wind load. First, the non-linear random vibration equation of the hyperbolic–parabolic membrane structures is established by the moment-free theory of thin shells, von Karman’s large deflection theory, and the potential flow theory. The results of random dynamic responses are obtained with the Fokker Planck Kolmogorov equation method (FPK) solving the equation. Then, the structural performance function of composite membrane structures is established based on the Displacement First Passage Failure Criteria (DFPFC) and the results of random dynamic responses. Furthermore, the reliability index (RI) of the performance function is calculated by the JC method. Finally, the theoretical model proposed is validated by experimental investigation utilizing the Monte Carlo sampling method (MCS). Additionally, the influence of wind speed, pretension force, and rise–span ratio on hyperbolic–parabolic membrane structure reliability is analyzed. The paper can provide important references for the design and analysis of membrane structures.