Abstract: Based on the random plane wave theory of turbulent flow fields, the heat-fluid coupling governing equation of the simply-supported plate under turbulent boundary layer excitation is first deduced by incorporating the coupling effects of turbulent flow and thermal environment on the structure. Subsequently, the vibration response model of the heat-fluid coupled plate is established, with the synergistic interactions between the turbulent field and thermal field systematically integrated into the analytical framework to comprehensively characterize the dynamic behavior of the plate under multifield coupling conditions. The vibration response characteristic of the plate under the coupling of turbulence load and thermal load is investigated. The traditional turbulent field transfer function method is used to calculate the vibration response characteristic of the plate, and the calculation result is also compared with the random field plane wave model to verify the heat-fluid coupling model excited by random plane waves; finally, using the verified plane wave model and considering the influence of the transfer function of the heat-fluid coupling model, the distribution characteristics of the wall fluctuating pressure in the wavenumber-frequency space is analyzed, and the wavenumber truncation criterion for the coupling of strong turbulence load and heat load is proposed. The research results show that the heat-flow coupling effect has a great influence on the vibration characteristics of the plate. After considering the heat-flow coupling load, the natural frequency of the plate is lower, the vibration response curve moves to lower frequencies as a whole, and the response amplitude of the fundamental frequency decreases.

Key words: turbulence load, wall pressure fluctuation, thermal fluid load, random plane waves, random vibration