This simulation study aims to provide new insights into the design and optimization of supercell PnCs for low-frequency vibrations reduction in urban areas. These vibrations, often generated by railway and metro tracks as well as heavy vehicular traffic, can cause serious environmental noise and structural damage. Moreover, continuous exposure to low-frequency mechanical noise can have serious health implications for humans, contributing to hearing problems and more severe conditions such as cardiovascular issues and cancer. The frequency of low-frequency vibrations produced by public transportation is in the range of 1–100 Hz. To address these challenges, the study proposes a novel supercell PnCs configurations that will combine Ceramic materials (e.g., Earthenware, Stoneware, Vitreous and oxide and carbide-based ceramics) with soft polymers (e.g., rubber or PDMS). Using the FEM alongside Bloch's theorem, the band structure of the supercell PnC will be evaluated and using the displacement fields of eigenmodes at the edge of the BGs, the formation of BGs at low frequency will discuss. To achieve a wide BGs at low frequencies, the supercell PnC will be optimized by varying its geometrical parameters, exploring different supercell shapes, and using various combinations of polymer and ceramic materials. The transmission spectra of the finite supercell PnC will be used to verify the band structure of the supercell PnC. The outcomes are expected to be in the form of high-quality research articles published in peer-reviewed journals. These publications will contribute to the scientific knowledge base and serve as reference material for researchers working in related domains. This study also aims to draw the attention of government bodies and companies involved in urban transportation planning to the importance of carefully addressing low-frequency vibrations generated by railway and metro tracks, as well as heavy vehicles.