In response to the shortcomings of existing studies on the sound-absorbing characteristics of an anechoic coating, which most ignore the frequency factor and are expensive for temperature-tunable hydroacoustic experiments, a novel semi-analytical methodology that considers both frequency and temperature is proposed in this paper. Based on the dynamic mechanical thermal analysis technique and time–temperature superposition principle, the temperature and frequency spectra of two rubber materials are tested and expanded in turn. Meanwhile, a complete acoustic prediction model is developed employing the non-uniform waveguide theory for an overburden containing arbitrary rotary cavities. Furthermore, taking a lining embedded with ramped cavities as the research structure, the theoretical model is firstly validated by an absorptive measurement conducted with the hydroacoustic impedance tube test-system, and then the acoustic influences of the material properties and geometric parameters of each sublayer, as well as the temperature factor, are investigated in-depth to reveal the multiple energy dissipation mechanisms. These results show that the present semi-analytical method can accurately and effectively predict the dynamic sound absorptions of a covering in the wide temperature-frequency range of Tg ~ Tg + 50 ℃ and 10 Hz ~ 106 Hz.
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