Contact vibration analysis of the functionally graded material coated half-space under a rigid spherical punch  

作　　者：Xin LYU Liaoliang KE Jiayong TIAN Jie SU 

机构地区：[1]School of Mechanical Engineering,Tianjin University,Tianjin,300350,China [2]National Institute of Natural Hazards,Ministry of Emergency Management of China,Beijing,100085,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2022年第8期1187-1202,共16页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Nos.11725207,12021002,and 12072226)。

摘　　要：This paper studies the contact vibration problem of an elastic half-space coated with functionally graded materials(FGMs)subject to a rigid spherical punch.A static force superimposing a dynamic time-harmonic force acts on the rigid spherical punch.Firstly,we give the static contact problem of FGMs by a least-square fitting approach.Next,the dynamic contact pressure is solved by employing the perturbation method.Lastly,the dynamic contact stiffness with different dynamic contact displacement conditions is derived for the FGM coated half-space.The effects of the gradient index,coating thickness,internal friction,and punch radius on the dynamic contact stiffness factor are discussed in detail.

关 键 词：contact vibration functionally graded material(FGM) spherical punch perturbation method 

分 类 号：O322[理学—一般力学与力学基础]