Multiscale design of coated structures with periodic uniform infill for vibration suppression

In this paper, a novel design strategy to minimize the dynamic compliance of vibrating infill structure with solid outer coating and periodic uniform lattice is presented. The vibration linearly elastic excited by time-harmonic external mechanical loading. optimization performed simultaneously topology macroscale structure, which also includes coating. Multiscale topological designs structures are presented in numerical examples for different excitation frequencies, limits on static compliance, damping properties, boundary conditions. results obtained finite element method gradient-based using analytical sensitivity analysis, derived fully discrete setting. influences constraints, thicknesses, conditions optimized macrostructures microstructures discussed examples. general, reflect shape characteristics macrostructure configuration, where Kagome-like have been some Moreover, include more but finer structural members low frequencies.