Analysis of Wind Vibration Response of Large-Span Asymmetric Suspension Structures With Series Inerter Dampers

Aimed at the significant problem of bidirectional random wind vibration responses of large-span asymmetric suspension structures, a strategy was proposed to suppress the vibration of large-span suspension structures with series inerter dampers (SIDs) as the energy damping system (EDS). For the complexity of the random wind vibration response analysis method, a concise closed-form solution was presented. Firstly, the dynamic equations for the horizontal and vertical coupled vibrations of the EDS under downwind excitation were established, and the finite element dynamic analysis technology was applied to obtain the real modal dynamic parameters of the large-span suspension structure to reconstruct the dynamic equations for the EDS based on the real modal theory. Secondly, based on the complex mode method and the pseudo-excitation method, the frequency domain unified solutions for the displacements, interlayer displacements and forces of the EDS were obtained. The quadratic decomposition method for the response power spectrum density function was used to obtain concise closed-form solutions for the 0th-, 2nd-, and 4th-order spectral moments and variances of the above responses of the EDS subjected to the Davenport spectrum. Finally, the correctness of the proposed method was verified through a numerical example, and based on this, the characteristics of SIDs in suppressing bidirectional vibrations of suspension structures were studied. The results show that, the horizontal and vertical vibration accelerations of the suspension parts of large-span suspension structures significantly affect vibration serviceability, so that bidirectional vibrations need to be considered in engineering design, and SIDs to reduce the horizontal vibrations can effectively reduce bidirectional vibrations.