双模量面板泡沫铝芯夹层圆板的非线性弯曲

NONLINEAR BENDING OF BIMODULOUS PANEL ALUMINUM FOAM CORE CIRCULAR LAMINATED PLATE

  • 摘要: 采用弹性理论建立了双模量面板泡沫铝芯圆形夹层板在均布载荷作用下的静力平衡方程,利用静力平衡方程确定了夹层板的中性面位置。在考虑剪切变形影响的基础上,采用能量法研究了双模量面板泡沫铝芯圆形夹层板的轴对称非线性弯曲问题,求得了夹层板中心挠度与均布载荷的关系式,并把该方法计算结果与有限元计算结果进行了比较,验证了该方法是可靠的。算例分析表明,研究双模量面板泡沫铝芯圆形夹层板的非线性弯曲,不宜采用相同弹性模量弹性理论,而应该采用拉压弹性模量不同的弹性理论。

     

    Abstract: The static equilibrium equation of a bimodulus panel aluminum foam core circular laminated plate under a uniformly distributed load was established by using elastic mechanics theory. The location of the neutral plane in the bimodulus panel aluminum foam core circular laminated plate was determined by utilization of the static equilibrium equation. Taking shear deformation into consideration, it was studied that the axisymmetric nonlinear bending of bimodulous panel aluminum foam core circular laminated plate with energy method, and the relation expression between the central deflection of the circular laminated plate and a uniformly distributed load was obtained. Through the FEM analysis of a circular laminated plate, the correctness of the method was verified. The numerical example shows that the nonlinear bending calculation of a bimodulus panel aluminum foam core circular laminated plate may as well not apply classical elastic theory with same elastic modulus, and that it should use elastic theory with different elastic moduli in tension and compression.

     

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