弹性地基上非对称多孔功能梯度材料夹层板的自由振动  

Free vibration of asymmetric porous functionally graded material sandwich plates on elastic foundations

作　　者：黄志诚 韩梦娜 王兴国 褚福磊 HUANG Zhicheng;HAN Mengna;WANG Xingguo;CHU Fulei(College of Mechanical and Electronic Engineering,Jingdezhen Ceramic University,Jingdezhen 333403,China;Department of Mechanical Engineering,Tsinghua University,Beijing 100084,China)

机构地区：[1]景德镇陶瓷大学机械电子工程学院,江西景德镇333403 [2]清华大学机械工程学院,北京100084

出　　处：《振动与冲击》2024年第10期156-163,共8页Journal of Vibration and Shock

基　　金：国家自然科学基金项目(11862007,52265020)。

摘　　要：基于精细剪切变形理论研究了弹性地基上的非对称孔隙功能梯度材料(functionally graded material, FGM)夹层板的自由振动。结合该理论提出了一种新的非对称多孔FGM夹层板在弹性地基上的自由振动模型,且该模型只包含四个未知变量。控制方程是通过Hamilton原理建立的,并通过Navier法获得了其在四边简支下的固有频率。将模型退化为无弹性地基的非对称FGM夹层板以验证模型的准确性。最后详细讨论了参数变化对弹性地基上的非对称多孔FGM夹层板的自由振动行为的影响。研究发现,在不同的弹性系数下,非对称多孔FGM夹层板的固有频率会随着边厚比的增加而增加,而体积分数指数的增加对于不同弹性系数下的非对称多孔FGM夹层板的固有频率有不一样的变化。Based on the refined shear deformation theory,the free vibration of asymmetric porous functionally graded material(FGM)sandwich plates on elastic foundations was studied and a new free vibration model,containing only four unknown variables,for asymmetric porous FGM sandwich plates on elastic foundations was proposed.The governing equation was established using the Hamilton’s principle and the natural frequency of the sandwich plate with four simply supported sides was obtained using the Navier method.The plate model was degraded into an asymmetric FGM sandwich plate on an inelastic foundation to verify the accuracy of the model.Finally,the influence of parameter changes on the free vibration behavior of asymmetric porous FGM sandwich plates on elastic foundations was discussed in detail.It is found that the natural frequency of asymmetric porous FGM sandwich plates with different elastic coefficients increases with the increase of side-to-thickness ratio,while it has different change with the increase of volume fraction index.

关 键 词：孔隙功能梯度材料(FGM) 夹层板 弹性地基 自由振动 固有频率 

分 类 号：TH212[机械工程—机械制造及自动化] TH213.3