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<p>Previously, we proposed innovative deformation relationships for the multi-layer sandwich beams in 2020 (Li in Mech Syst Signal Process 142:106799, 2020) and 2025 (Zhong in Mech Adv Mater Struct 1–12, 2025), respectively, to investigate their vibration properties. However, the theory has not yet been extended to the cases of multi-layer panels, and research on the vibration properties of novel multi-layer truss core sandwich panels remains limited. Inspired by this, this paper establishes a dynamic model for lattice core multi-layer truss sandwich panels and conducts theoretical investigations on their vibration properties. The dynamic equations are constructed using the Hamilton’s principle as well as the assumed mode method, the natural frequencies are obtained, and a comparative analysis is conducted with the finite element results for verification. The contributions of this paper are: establishing novel deformation relationships for multi-layer sandwich panels, providing the complete vibration equation for multi-layer sandwich plates, developing dynamic models for multi-layer sandwich structures, and systematically analyzing vibration properties through theoretical and simulation approaches.</p>

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On dynamic modeling and free vibration of the multi-layer lattice sandwich panels exploiting the assumed mode method

  • 期刊论文

  • 发表日期：

    2026年4月7日

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  • Yifen Cai,
  • Meng Li,
  • Yi Han,
  • Zhenkun Guo,
  • Guoqing Jiang,
  • Yuyang Chai,
  • Yinghui Li

摘要

Previously, we proposed innovative deformation relationships for the multi-layer sandwich beams in 2020 (Li in Mech Syst Signal Process 142:106799, 2020) and 2025 (Zhong in Mech Adv Mater Struct 1–12, 2025), respectively, to investigate their vibration properties. However, the theory has not yet been extended to the cases of multi-layer panels, and research on the vibration properties of novel multi-layer truss core sandwich panels remains limited. Inspired by this, this paper establishes a dynamic model for lattice core multi-layer truss sandwich panels and conducts theoretical investigations on their vibration properties. The dynamic equations are constructed using the Hamilton’s principle as well as the assumed mode method, the natural frequencies are obtained, and a comparative analysis is conducted with the finite element results for verification. The contributions of this paper are: establishing novel deformation relationships for multi-layer sandwich panels, providing the complete vibration equation for multi-layer sandwich plates, developing dynamic models for multi-layer sandwich structures, and systematically analyzing vibration properties through theoretical and simulation approaches.