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

查看全文 作  者:Xin [1]LYU;Liaoliang [1]KE;Jiayong [2]TIAN;Jie [1]SU 高影响力作者 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高影响力机构 出  处:《Applied Mathematics and Mechanics(English Edition)》索引2022年第43卷第8期,共16页高影响力期刊 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
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