4.6 Article

Nonlinear dynamic characteristics of symmetric rectangular honeycomb sandwich thin panel

期刊

JOURNAL OF SANDWICH STRUCTURES & MATERIALS
卷 23, 期 7, 页码 3390-3413

出版社

SAGE PUBLICATIONS LTD
DOI: 10.1177/1099636220928894

关键词

Nonlinear vibration; homotopy analysis method; honeycomb sandwich thin panels; simply supported boundaries

资金

  1. National Natural Science Foundation of China [11772090]
  2. Fundamental Research Funds for the Central Universities of China [N140503003]

向作者/读者索取更多资源

This study investigates the nonlinear dynamics of symmetric rectangular honeycomb sandwich thin panel using theoretical derivations and numerical analysis. It is found that the width-to-length ratio and thickness-to-length ratio have a significant influence on the nonlinear frequency ratio of the panel.
In the present work, nonlinear dynamics of symmetric rectangular honeycomb sandwich thin panel is investigated. The nonlinear governing equations of the thin panel are derived by using Hamilton's principle and Reddy's third-order shear deformation theory. After that, the Galerkin method is used to discretize the equation of motion, resulting in a set of ordinary differential equations with respect to time. The ordinary differential equations are solved analytically by utilizing the homotopy analysis method. The influence of structural parameters to the nonlinear frequencies of the symmetric rectangular honeycomb sandwich panel with simply supported boundaries along all four edges is discussed by using the analytic approximation method. Our findings demonstrate that the nonlinear frequency ratio decreases first and then increases with the increase of the width-to-length ratio and thickness-to-length ratio. When the width-to-length ratio is greater than 10, the nonlinear frequency ratio remains almost unchanged with the further increase of width-to-length ratio.

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