正交加筋复合材料夹层板的自由振动求解

摘要/Abstract

摘要：

均质正交加筋芯材基于一阶剪切理论，采用δ函数描述其非连续性；复合材料面板采用Kirchhoff假设，以上、下面板面内位移和结构整体横向位移为响应函数，通过哈密顿原理推导了正交加筋复合材料夹层板的动力学控制方程.采用级数解的形式近似求解了四边简支正交加筋复合材料夹层板的自由振动问题，通过夹层板固有频率数值仿真验证了理论推导的正确性.考虑复合材料面板的阻尼损耗，讨论了面板厚度、筋材薄壁厚度、高度、加筋间距对夹层板固有频率和结构损耗因子的影响规律.结果表明，当面密度相同时，改变筋材薄壁厚度或加筋间距对结构固有频率值无影响.

关键词: 复合材料, 夹层板, 正交加筋, 自由振动, 损耗因子

Abstract:

The continuity of orthogonally rib-stiffened homogeneous core material was described using δ function basing its deformation on the firstorder shear theory. Composite panels were considered as Kirchhoff thin plate, taking the in-plane displacements of the face panels and the transverse displacement of the whole structure as variables, and the kinetics equations of the orthogonally rib-stiffened composite sandwich plate were derived using Hamilton’s principle. The approximate solution of free vibration of the orthogonally rib-stiffened composite sandwich plate with simply supported boundary was obtained by using the series solution form. The natural frequency results were validated comparing to the FEM simulation. Considering the damping of the composite panels, the effects of some geometrical parameters of the sandwich plates including panel thickness, rib-stiffened web thickness, web height and web spacing on the nature frequency and structural lossfactor were discussed.The results show that there is an optimal value of the panel thickness making the structural lossfactor max; when the areal density is identical, altering web thickness or web spacing have no effect on the natural frequency of the sandwich plate.

Key words: composite, sandwich plate, orthogonally rib-stiffened, free vibration, lossfactor

中图分类号:

TB 123

杨坤，梅志远，李华东. 正交加筋复合材料夹层板的自由振动求解[J]. 上海交通大学学报（自然版）, 2014, 48(06): 863-869.

YANG Kun,MEI Zhiyuan,LI Huadong. Free Vibration Analysis of Orthogonally Rib-Stiffened Composite Sandwich Plate[J]. Journal of Shanghai Jiaotong University, 2014, 48(06): 863-869.

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