Design of Low-Vibration Structures in Spatial-Wavenumber Domain

Flow-induced vibration is a critical consideration in aircraft structural design and is typically controlled within the time–frequency domain. This study proposes a design method for low-vibration structures in the spatial-wavenumber domain, based on the principle of spatial correlation for the suppression of structural vibration. The effects of key parameters on the design of low-vibration structures are also discussed in detail. The results indicate that different structural modes correspond to varying quantities of aerodynamic modes within the velocity response valley, resulting in distinct approaches for developing low-vibration structures. It is observed that structures that are excessively narrow or thick are particularly susceptible to thickness effects and should be designed using numerical methods rather than analytical approaches. Additionally, an analytical expression is presented to describe the structural equivalent wavelength, and the determination of the velocity valley for medium boundaries is addressed. To validate the proposed low-vibration structure design, a numerical evaluation of various structures is conducted in this work.