Abstract In this paper, the vibroacoustic performance of the star-shaped honeycomb-core annular cellular structures is investigated. The results imply the superiority of these structures over the hexagonal honeycomb-core annular cellular structures, with constant mass and overall structure size, in terms of sound insulation relative to static bending compliance. The spectral element method (SEM) is employed to accurately evaluate natural frequencies and dynamic responses with a reduced number of elements within a wide frequency range. The sound transmission loss (STL) is used as a metric to define vibroacoustic performance. The in-plane effective shear modulus of star-shaped honeycombs is derived analytically to analyze the mechanical and vibroacoustic characteristics of the structures. A structural–acoustic optimization study of star-shaped honeycombs for the maximum sound transmission loss under constant mass and high static bending stiffness constraints is evaluated and presented for a specified target range. An increase of sound transmission loss by 490.23 for the considered target range in the optimized star-shaped honeycombs shows significant vibroacoustic performance.
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