Multi-span composite lattice sandwich beams have wide application prospects in the aerospace, high-speed trains and civil engineering fields because of the low specific weight, high specific strength and multifunctional potential. Moreover, the span number and the subspan length have a great influence on the vibration and thermal buckling properties of multi-span beams. Therefore, a simple and effective method is presented to investigate the vibration and thermal buckling behaviors of different multi-span sandwich beams with pyramidal truss core in this study. The first-order shear deformation theory is used to evaluate the strain–displacement relations in the structural modeling. The mode shapes modified by the interpolation function are used to evaluate the vibration modes of the multi-span lattice sandwich beam. The differential equation of motion is formulated by Hamilton’s principle. The natural frequencies of the multi-span sandwich beam with pyramidal truss core are validated through comparing the finite element method results. The parametrical investigations with respect to the ply angle of the composite laminated face sheets and the radius of trusses are conducted. Furthermore, the influences of the span number and subspan length on the vibration and thermal buckling behaviors of the composite lattice sandwich beams are also performed and discussed.

多跨度复合格构夹层梁由于其比重低，比强度高和多功能潜力而在航空航天，高速列车和土木工程领域具有广阔的应用前景。而且，跨度数和子跨度长度对多跨度梁的振动和热屈曲特性有很大影响。因此，本研究提出了一种简单有效的方法来研究不同的具有锥体桁架芯的多跨度夹芯梁的振动和热屈曲行为。一阶剪切变形理论用于评估结构建模中的应变-位移关系。通过插值函数修改的模式形状用于评估多跨度格构夹层梁的振动模式。运动的微分方程是根据汉密尔顿原理制定的。通过比较有限元方法的结果，验证了具有锥体桁架芯的多跨夹层梁的固有频率。进行了关于复合层压面板的帘布层角度和桁架半径的参数研究。此外，还研究并讨论了跨度数和跨度的长度对复合晶格夹层梁的振动和热屈曲行为的影响。进行了关于复合层压面板的帘布层角度和桁架半径的参数研究。此外，还研究并讨论了跨度数和跨度的长度对复合晶格夹层梁的振动和热屈曲行为的影响。进行了关于复合层压面板的帘布层角度和桁架半径的参数研究。此外，还研究并讨论了跨度数和跨度的长度对复合晶格夹层梁的振动和热屈曲行为的影响。