The lumped element model is present to study the band gaps of elastic wave metamaterials with three resonators.The effects of parameters on band structure and effective mass are discussed numerically. The results show that the effective mass tightly depends on frequency.The negative effective mass can be found at three positions on frequency domain.The metamaterial have three band gaps and the larger spring constant can broaden band gaps and shift band gaps to higher frequency domain.As increasing the resonator′s mass band gaps can be shifted to the low frequency domain.The metamaterial with low frequency and broad band can be desigened by property parameters.

elastic wave；metamaterials; negative effective mass; band gap