Abstract
The mechanical properties of artificially periodic structures are closely related to the geometric dimensions of the structures. In this letter, we derive analytical expressions for the equivalent elastic parameters of a hexagonal cellular structure with additional counterweight mass blocks, and the accuracy of these analytical expressions is verified by numerical results. By analyzing the analytical expressions, we rigorously demonstrate an approximate decoupling relationship between the elastic modulus and mass density. Finally, we creatively propose a structure that can simultaneously achieve perfect decoupling of elastic modulus and mass density as well as flexible adjustment of material parameters in an ultra-wide range.
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