本文基于一阶ZIG-ZAG理论和夹芯层的常复数模型，采用Navier解形式对铺层方式为(0o/90o/0o)的薄的四边简支三层夹芯板的自由振动进行分析。研究了在夹芯板总厚度不变的前提下，固有频率随着表层厚度的增加呈现先减小后增大的趋势，呈上凹抛物线状；损耗因子值随着表层厚度的增加呈现先增大后降低的趋势，分布呈下凸抛物线状，最大值出现在表层和底层厚度相等时，因此对称结构夹芯板为最优结构设计；在夹芯层厚度和位置一定的前提下，固有频率的值随着表层和底层厚度的增加而增大，损耗因子值随着表层和底层厚度的增加呈现先增加后减小的趋势，损耗因子存在最大值，为夹芯板结构的最优设计提供参考。
Abstract
Analysis of Free Vibration of thin composite sandwich plate with four simply supported edges and (0o/90o/0o) laying-up was conducted using the Navier solution based on the first-order ZIG-ZAG theory and constant complex model.On the condition that thinkness of total plate remain unchanged,nature frequency that tended to go from descent to ascent with the increase of the thickness of surface layer presented a concave parabolic distribution; loss factor that tended to go from increase to decrease with the ascent of the thickness of surface layer presented a conves parabolic distribution.So symmetrical structure sandwich plate is the optimal structure design. On the condition that thinkness and location of viscoelastic layer keep constant,the natural frequencies can be improved with the increase of thickness of surface layer; loss factor tended to go from increase to decrease with the ascent of the thickness of surface layer and presented a parabolic distribution. All of this can provide the reference for the optimal design of sandwich plate structure.
关键词
复合材料 /
夹芯板 /
自由振动 /
固有频率 /
损耗因子
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Key words
embedded co-cured composite;sandwich plate /
free vibration /
natural frequency /
loss factor
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