Contact vibration analysis of the functionally graded material coated half-space under a rigid spherical punch |
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Authors: | Xin LYU Liaoliang KE Jiayong TIAN Jie SU |
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Institution: | 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 |
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Abstract: | 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. |
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Keywords: | contact vibration functionally graded material (FGM) spherical punch perturbation method |
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