This study proposes an analytically unprecedented model of a meta-lattice truss with local resonators to generate a broader low-frequency bandgap. By leveraging the mass–spring model, a new equivalent meta-unit cell considering the elastic shear springs is developed to accurately predict the performance of the meta-lattice truss in suppressing stress wave propagations. Theoretical analyses and numerical simulations are conducted to examine the effectiveness of the proposed model. Sensitivity analyses are also performed to investigate the influences of masses and spring parameters on the bandgap characteristics of the meta-lattice truss. Based on the theoretical prediction, the system transmission coefficient is utilized to examine the transmissibility effect among the resonators. A three-dimensional finite element model of meta-lattice truss is also built and its accuracy in predicting the stress wave propagations is verified against the analytical predictions. The structural responses in the time domain and time–frequency domain demonstrate the superiority of meta-lattice truss in suppression of wave transmission as compared to that predicted by the conventional counterparts.

这项研究提出了一种具有局部谐振器的超晶格桁架的分析方法，该模型是前所未有的，可以产生更宽的低频带隙。通过利用质量-弹簧模型，开发了一个新的等效单元单元，该单元单元考虑了弹性剪切弹簧，从而可以准确地预测准晶格桁架在抑制应力波传播方面的性能。进行了理论分析和数值模拟，以检验所提出模型的有效性。还进行了敏感性分析，以研究质量和弹簧参数对超晶格桁架带隙特性的影响。根据理论预测，利用系统传输系数检查谐振器之间的传输率效应。建立了超晶格桁架的三维有限元模型，并通过分析预测验证了其在预测应力波传播中的准确性。时域和时频域的结构响应表明，与传统的相应方法相比，超晶格桁架在抑制波传播方面具有优越性。