基于移动Kriging插值无网格法的多层纳米板振动特性研究  

Vibration characteristics of multilayer nanoplates via meshfree moving Kriging interpolation method

作　　者：侯东昌 张吉成 王立峰[2] HOU Dongchang;ZHANG Jicheng;WANG Lifeng(School of Civil Engineering and Architecture,Zhongyuan University of Technology,Zhengzhou 450007,China;State Key Laboratory of Mechanics and Control for Aerospace Structures,Nanjing University of Aeronautics and Astronautics,Nanjing 210016 China)

机构地区：[1]中原工学院建筑工程学院,河南郑州450007 [2]南京航空航天大学航空航天结构力学及控制全国重点实验室,江苏南京210016

出　　处：《振动工程学报》2025年第3期623-630,共8页Journal of Vibration Engineering

基　　金：国家杰出青年科学基金资助项目(11925205);国家自然科学基金资助项目(51921003,U2341230)。

摘　　要：采用基于移动Kriging插值的无网格法研究了多层纳米板的动力学行为。建立了考虑层内拉伸、层间剪切和单层弯曲的多层二硫化钼动力学模型。通过与分子动力学模拟的结果比较表明,建立的多层纳米板模型能够很好地预测多层二硫化钼的振动行为。多层二维结构层间剪切和滑移导致其违背了经典板理论的预测,主要归因于二维结构之间的层间剪切影响了其整体动力学行为。分析了层数和尺寸对振动频率的影响,研究了层内拉伸刚度、层间剪切模量和单层弯曲刚度对振动频率的影响。A meshless method based on moving Kriging interpolation is used to study the dynamic behavior of multilayer nanoplates.A dynamical model of multilayer molybdenum disulfide(MoS_(2))is established considering intra-layer stretching,interlayer shear and single layer bending.Compared with the results of molecular dynamics simulation,it is shown that the present model can predict the vibration behavior of multilayer MoS_(2).The interlayer shear and slip of multilayer two-dimensional structures violate the prediction of classical plate theory,mainly due to the effect of interlayer shear and slip on the overall dynamic behavior of two-dimensional structures.The influence of different layer number and size on the frequency is investigated,and the influence of the three factors on the frequency is studied by changing the intralayer tensile stiffness,interlayer shear modulus and single layer bending stiffness.

关 键 词：多层纳米板 层间剪切 移动Kriging插值 无网格法 多层二硫化钼 

分 类 号：TB383[一般工业技术—材料科学与工程] O326[理学—一般力学与力学基础]