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Parametric Vibration Stability Analysis of a Pyramid Lattice Sandwich Plate Subjected to Pulsatile External Airflow

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Abstract

Lattice sandwich structures are broadly used in aerospace, navigation, and high-speed rail engineering. In engineering practice, the airflow outside the vehicle or aircraft always exhibits the pulsatile property, which makes the elastic structural components and the external airflow a parametric excitation system. In this paper, the parametric vibration stability analysis and dynamic characteristics of a lattice sandwich plate interacting with the pulsatile external airflow are studied. The equation of motion is derived using Hamilton’s principle and discretized using the assumed mode method. The linear potential flow theory is applied to derive the perturbation aerodynamic pressure. The stability of the system is analyzed using the Floquet theory and validated by numerical simulations. The effects of design parameters of the lattice sandwich plate on the stability of the system are discussed. From the simulations and discussions, some practical principles for the optimal design of lattice sandwich structures in the aerodynamic environment are proposed.

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The data are available for reasonable request.

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Acknowledgements

This research is supported by the Natural Science Foundation of Liaoning (2020-MS-092).

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Authors and Affiliations

  1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang, 110819, China

    Zhiwei Cao & Guo Yao

Authors
  1. Zhiwei Cao
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  2. Guo Yao
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Contributions

ZC was involved in writing, formulation, programming, and validation. GY contributed to methodology, funding, revision, and writing.

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Correspondence to Guo Yao.

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Cao, Z., Yao, G. Parametric Vibration Stability Analysis of a Pyramid Lattice Sandwich Plate Subjected to Pulsatile External Airflow. Acta Mech. Solida Sin. 36, 95–104 (2023). https://doi.org/10.1007/s10338-022-00367-8

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  • DOI: https://doi.org/10.1007/s10338-022-00367-8

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