The effect of plate theories and boundary conditions on the bending behavior of a biaxial corrugated core sandwich panel
The effect of plate theories and boundary conditions on the bending behavior of a biaxial corrugated core sandwich panel
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DOI：
10.1016/j.compstruct.2020.112133
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发表时间：
2020-06-01
影响因子：
6.3
通讯作者：
Smith, Lloyd
中科院分区：
文献类型：
--
作者：
Mohammadabadi, Mostafa;Yadama, Vikram;Smith, Lloyd
在这项研究中，开发了一个分析模型来评估具有双轴波纹芯的木质复合夹芯板的弯曲行为。为了探索剪切变形的影响，考虑了两种板理论：经典板理论（CPT）和三阶剪切变形板理论（TOSDPT）。研究了简支-简支、夹紧-夹紧和简支-自由边界条件对夹芯板弯曲行为的影响。使用均质化方法用连续层代替芯的波纹几何形状。基于波纹芯的变形，获得了均化层的有效性能。应用经典层合理论和最小势能原理推导控制方程并应用边界条件。应用广义微分求积法来求解控制微分方程。对于 CPT 和 TOSDPT，具有简支自由边界条件的面板的弯曲刚度与实验一致，分别在 3.67% 和 0.28% 范围内。
In this study, an analytical model was developed to evaluate the bending behavior of a wood composite sandwich panel with a biaxial corrugated core. To explore the effect of shear deformation, two plate theories were considered: classical plate theory (CPT) and a third-order shear deformation plate theory (TOSDPT). The effect of simply supported-simply supported, clamped-clamped, and simply supported-free boundary conditions on the bending behavior of the sandwich panel was investigated. A homogenization method was used to replace the corrugated geometry of the core with a continuous layer. Based on the deformation of the corrugated core, the effective properties of the homogenized layer were obtained. Classical lamination theory and the principle of minimum potential energy were applied to derive the governing equations and apply the boundary conditions. A generalized differential quadrature method was applied to solve the governing differential equations. The bending stiffness of a panel with simply supported-free boundary conditions agreed with the experiment within 3.67% and 0.28% for CPT and TOSDPT, respectively.