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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Russian Acad Sci, Inst Problems Mech Engn, St Petersburg, Russia
Peter Great St Petersburg Polytech Univ, St Petersburg, RussiaRussian Acad Sci, Inst Problems Mech Engn, St Petersburg, Russia
Bratov, V
Kaplunov, J.
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Russian Acad Sci, Inst Problems Mech Engn, St Petersburg, Russia
Keele Univ, Sch Comp & Math, Keele ST5 5BG, Staffs, EnglandRussian Acad Sci, Inst Problems Mech Engn, St Petersburg, Russia
Kaplunov, J.
Lapatsin, S. N.
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Belarusian State Univ, Dept Theoret & Appl Mech, Minsk, BELARUSRussian Acad Sci, Inst Problems Mech Engn, St Petersburg, Russia
Lapatsin, S. N.
Prikazchikov, D. A.
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Russian Acad Sci, Inst Problems Mech Engn, St Petersburg, Russia
Keele Univ, Sch Comp & Math, Keele ST5 5BG, Staffs, EnglandRussian Acad Sci, Inst Problems Mech Engn, St Petersburg, Russia
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Don State Tech Univ, Res & Educ Ctr Mat, 1 Gagarin Sq, Rostov Na Donu 344000, RussiaDon State Tech Univ, Res & Educ Ctr Mat, 1 Gagarin Sq, Rostov Na Donu 344000, Russia
Zelentsov, V. B.
Lapina, P. A.
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Don State Tech Univ, Res & Educ Ctr Mat, 1 Gagarin Sq, Rostov Na Donu 344000, RussiaDon State Tech Univ, Res & Educ Ctr Mat, 1 Gagarin Sq, Rostov Na Donu 344000, Russia
Lapina, P. A.
Mitrin, B., I
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Don State Tech Univ, Res & Educ Ctr Mat, 1 Gagarin Sq, Rostov Na Donu 344000, RussiaDon State Tech Univ, Res & Educ Ctr Mat, 1 Gagarin Sq, Rostov Na Donu 344000, Russia
Mitrin, B., I
Kudish, I. I.
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Kettering Univ, Dept Math, 1700 Univ Ave, Flint, MI 48504 USADon State Tech Univ, Res & Educ Ctr Mat, 1 Gagarin Sq, Rostov Na Donu 344000, Russia