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中文摘要：
基于应变能等效原理，将功能型多孔夹层板的夹芯层等效为均匀的各向异性材料，并通过考虑夹芯层的面内剪切作用，即将构成代表体单元的基元杆件考虑为Timoshenko梁，建立Timoshenko梁单元的应变和宏观应变之间的关系，得到等效固体代表体单元的应变能密度与宏观应变的关系，从而，给出相应的宏观等效弹性常数。最后，通过有限元方法计算实际正方形蜂窝夹层板和等效夹层板的结构响应和低阶振动频率，验证该方法的有效性，对比分析得知该方法较原方法具有更高的精度，说明考虑面内剪切作用的必要性。
英文摘要：
Under the condition that the strain energy of the periodic representative volume element （ RVE ） is e-quivalent to the elastic solid RVE, we improve the method for calculating the equivalent elastic constants by consid-ering the in-plane shear effect of a functional prismatic sandwich panel. The prismatic core is equalized to the aniso-tropic and homogenous material with the macroscopically equivalent elastic constants that are derived from the rela-tionship between strain and macro-strain of the Timoshenko beam theory. The effectiveness of the method is verified by comparing the structural response and the first five natural frequencies of a square prismatic sandwich panel with those of an equivalent sandwich panel;the verification results, given in Figs. 4, 5 and Table 1, and their analysis show preliminarily that our method that considers the in-plane shear effect can caculate more accurately.
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