拉伸-剪切耦合层合板优化设计及其应用

针对标准铺层拉伸-剪切耦合层合板耦合效应弱的缺点，提出利用优化法的自由铺层拉伸-剪切耦合层合板的设计方法。推导了只具有拉伸-剪切耦合效应的层合板应满足的条件。优化得到了7～14层的自由铺层拉伸-剪切耦合对称层合板。对比分析了自由与标准铺层拉伸-剪切耦合层合板的屈曲强度与稳定性。采用自由铺层拉伸-剪切耦合层合板设计了拉伸-扭转耦合结构。研究表明：自由铺层的拉伸-剪切耦合层合板的屈曲强度以及稳定性要显著弱于标准铺层层合板，但具有更强的耦合效应；随着层数的增加，自由铺层的拉伸-剪切耦合层合板的最大耦合效应逐渐减小。
Focusing on the deficiencies of standard-form laminate with extension shear coupling, such as weak extension-shear coupling, the design method for free-form laminate with extension-shear coupling using the method of optimization design was proposed. Necessary and sufficient material-independent conditions were derived for extension-shear coupled laminates. The stacking sequences of 7-ply to 14-ply free-form laminates with extension-shear coupling were derived. Comparisons were made on buckling strength and robustness of extension-shear coupled laminates. The free-form laminate with extension-shear coupling was used to design structure with extension-twist coupling. Compared to the standard-form laminate, the free-form laminate with extension-shear coupling is worse in buckling strength and robustness, while it’s stronger in coupling. The results also indicate that with an increase in the number of plies, the maximum extension-shear coupling flexibility coefficient of the free-form laminate decreases.