格栅夹层梁的热弯曲变形

Thermal bending deformation of grid sandwich beam

  • 摘要: 考虑内部热传导,研究了格栅夹层梁一侧受热后的弯曲变形.认为变形后夹层结构中间腹板无弯曲.利用格栅夹层梁结构上的周期性,通过胞元结构的内力平衡方程和变形协调关系,得到了胞元两端内力和位移的关系.引入传递矩阵,建立了夹层梁内力和变形随温度变化的表达式.应用所建立的模型计算了悬臂格栅夹层梁在其上表面受热后的变形.在格栅夹层梁包含的胞元数量较多、腹板高度较小且厚度与表板厚度相近的情况下,由本文模型计算得到的挠度结果与有限元结果吻合较好.

     

    Abstract: Considering internal heat conduction, the thermal bending deformation of grid sandwich beam when one side was heated was studied. It is assumed that the webs in the middle layer of the sandwich beam did not bend when the beam deformed. Taking the periodic character of the grid beam structure into account, the relationship of the internal force and the displacement was got through the equilibrium equation and the deformation coordination of the cell. By transfer matrix, the expressions of internal force and deformation of the sandwich beam depending on temperature were stablished. Using present model, the deformation of cantilever grid sandwich beam whose upper surface was heated was calculated. For the case that the number of cell is larger, the height of webs is smaller and the thickness of webs is close to one of panels,the deflection results computed by the presented model are in good agreement with finite element results.

     

/

返回文章
返回