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Optimized topology of bi-material acoustic metamaterial lattice plates isstudied for maximized locally resonant bandgap of flexural guided waves.Optimized layout of the two relatively stiff and compliant material phases inthe design domain is explored, free from any restrictions on the topology andshape of the relevant domains. Multiobjective optimization is performed throughwhich maximized effective stiffness or minimized overall mass of the bandgaptopology is additionally ensured. Extreme and selected intermediate optimizedtopologies of Pareto fronts are presented and their bandgap efficiencies andeffective stiffness are compared. The bi-material constitution of selectedtopologies are further altered and modal band structure of resultantmultilateral and porous designs are evaluated. Novel, core-shell like, locallyresonant bandgaps are introduced. It is shown that how the bandgap efficiencyand structural mass and/or stiffness can be optimized through optimizedmicrostructural design of the matrix and the resonating core domains.

On topology optimization of acoustic metamaterial lattices for locally resonant bandgaps of flexural waves