金属梯度多孔夹芯板振动特性分析

摘要

The gradient metallic cellular material has gradient pore structures from one surface of the material to the other one resulting in varying material properties,such as mass density and elastic modulus.The vibration response of sandwich panels may be influenced when the traditional homogeneous cellular core is replaced by gradient metallic cellular core.Based on the high-order plate theory and considering the coupling effect between the density and the elastic module of gradient metallic cellular materials,the vibration equation for the sandwich panel with composite face sheet and gradient metallic cellular core is developed.The influence of three gradient types of cores (unidirectional distribution,positive gradient symmetrical distribution and negative gradient symmetrical distribution) on the natural frequency of sandwich panels is discussed.The vibration responses of sandwich panels with three gradient metallic cellular cores under the same impulsive loading are discussed.%金属梯度多孔材料芯层的胞孔壁厚度及半径沿芯层厚度方向逐渐变化,使得芯层的材料参数如密度和弹性模量等逐渐变化;采用金属梯度多孔材料代替传统均质多孔芯层会影响夹芯板的振动特性.基于高阶夹芯板理论且考虑梯度多孔芯层密度和弹性模量的耦合影响,建立了复合材料面层-金属梯度多孔夹芯板的振动方程.分析了3种密度的梯度芯层:单向分布、正梯度对称分布和负梯度对称分布对夹芯板固有频率的影响;最后讨论了3种梯度夹芯板在相同三角脉冲载荷作用下的振动响应.计算结果表明梯度芯层密度对称分布的夹芯板固有频率大于单向分布的夹芯板固有频率.