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Dynamic Response of a Coated Half-Plane with Hysteretic Damping Under a Harmonic Hertz Load

Dynamic Response of a Coated Half-Plane with Hysteretic Damping Under a Harmonic Hertz Load This paper investigates the dynamic response of a coated half-plane subjected to a harmonic Hertz load on the coating surface. The complex modulus is used to describe the hysteretic damping of the elastic homogeneous coating and half-plane. Using the Helmholtz decomposition and Fourier integral transform technique, we derive the stresses and displacements of the coating and half-plane from Navier’s elasticdynamic equations in the form of complex integrals. Then, the global adaptive quadrature algorithm is exploited to solve the complex integrals numerically. The effects of Young’s modulus ratio, density ratio, coating thickness, loss factor and external excitation frequency are discussed. It is found that the dynamic response of displacements and stresses becomes increasingly oscillatory with the increase in excitation frequency. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Acta Mechanica Solida Sinica" Springer Journals

Dynamic Response of a Coated Half-Plane with Hysteretic Damping Under a Harmonic Hertz Load

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Publisher
Springer Journals
Copyright
Copyright © The Chinese Society of Theoretical and Applied Mechanics 2019
Subject
Engineering; Theoretical and Applied Mechanics; Surfaces and Interfaces, Thin Films; Classical Mechanics
ISSN
0894-9166
eISSN
1860-2134
DOI
10.1007/s10338-019-00150-2
Publisher site
See Article on Publisher Site

Abstract

This paper investigates the dynamic response of a coated half-plane subjected to a harmonic Hertz load on the coating surface. The complex modulus is used to describe the hysteretic damping of the elastic homogeneous coating and half-plane. Using the Helmholtz decomposition and Fourier integral transform technique, we derive the stresses and displacements of the coating and half-plane from Navier’s elasticdynamic equations in the form of complex integrals. Then, the global adaptive quadrature algorithm is exploited to solve the complex integrals numerically. The effects of Young’s modulus ratio, density ratio, coating thickness, loss factor and external excitation frequency are discussed. It is found that the dynamic response of displacements and stresses becomes increasingly oscillatory with the increase in excitation frequency.

Journal

"Acta Mechanica Solida Sinica" – Springer Journals

Published: Aug 1, 2020

References

  • The tribological performance of DLC-coated gears lubricated with biodegradable oil in various pinion/gear material combinations
    Kalin, M; Vižintin, J
  • Contact fatigue performance of helical gears with surface coatings
    Moorthy, V; Shaw, BA
  • Is 2 nm DLC coating enough to resist the nanowear of silicon
    Chen, L; Yang, MC; Song, CF; Yu, BJ; Qian, LM
  • Study of the amplitude-dependent mechanical behaviour of Yttria-stabilised zirconia thermal barrier coatings
    Tassini, T; Lambrinou, K; Mircea, I; Bartsch, M; Patsias, S; Biest, O
  • Materials for high temperature engineering applications
    Meetham, GW; Voorde, MH
  • Vibration and damping analysis of the bladed disk with damping hard coating on blades
    Chen, YG; Zhai, JY; Han, QK
  • The general theory of stresses and displacements in layered system I
    Burmister, DM
  • Stresses on a thin strip or slab with different elastic properties from that of the substrate due to elliptically distributed load
    Barovich, D; Kingsley, SC; Ku, TC
  • Adhesive contact between a rigid spherical indenter and an elastic multi-layer coated substrate
    Stan, G; Adams, GG
  • Analytical solutions for the layered geo-materials subjected to an arbitrary point load in the Cartesian coordinate
    Zhang, ZG; Li, ZZ
  • Two-dimensional contact problem for a coating-graded layer-substrate structure under a rigid cylindrical punch
    Yang, J; Ke, LL
  • Interface behavior of a thin-film bonded to a graded layer coated elastic half-plane
    Chen, PJ; Chen, SH; Peng, J
  • Frictional contact of a rigid punch on an arbitrarily oriented gradient half-plane
    Chen, PJ; Chen, SH; Peng, J
  • Sliding contact between a cylindrical punch and a graded half-plane with an arbitrary gradient direction
    Chen, PJ; Chen, SH; Peng, J
  • Nonslipping contact between a mismatch film and a finite thickness graded substrate
    Chen, PJ; Chen, SH; Yao, Y
  • The interface behavior of a thin film bonded imperfectly to a finite thickness gradient substrate
    Chen, PJ; Chen, SH; Peng, J; Gao, F; Liu, H
  • The interface behavior of a thin piezoelectric film bonded to a graded substrate
    Chen, PJ; Chen, SH; Guo, W; Gao, F
  • Stress analysis of elastic coated solids in point contact
    Wang, TJ; Wang, LQ; Gu, L; Zheng, DZ
  • Normal vibrations and friction under harmonic loads: part 1—Hertzian contact
    Hess, D; Soom, A
  • Experiments and numerical results non-linear vibration of an impacting Hertzian contact—part 1: harmonic excitation
    Rigaud, E; Perret-Liaudet, J
  • Dynamic-contact stiffness at the interface between a vibrating rigid sphere and a semi-infinite viscoelastic solid
    Tian, JY; Ogi, H; Hirao, M
  • Dynamic contact stiffness of vibrating rigid sphere contacting semi-infinite transversely isotropic viscoelastic solid
    Tian, JY; Xie, ZM
  • Ground vibration due to a rectangular harmonic load
    Jones, DV; Houedec, D; Petyt, M
  • Ground vibration in the vicinity of a strip load: a two-dimensional half-space model
    Jones, DV; Petyt, M
  • Ground vibration in the vicinity of a rectangular load acting on a viscoelastic layer over a rigid foundation
    Jones, DV; Petyt, M
  • Transversely isotropic elastodynamic solution of a finite layer on an infinite subgrade under surface loads
    Eskandari-Ghadi, M; Pak, RYS; Ardeshir-Behrestaghi, A
  • Vertical and horizontal vibrations of a rigid disc on a multilayered transversely isotropic half-space
    Eskandari-Ghadi, M; Nabizadeh, SM; Ardeshir-Behrestaghi, A
  • Time harmonic Boussinesq problem for a continuously non-homogeneous soil
    Verttos, C
  • Elastic hysteresis in steel
    Rowett, FE
  • Internal friction in solids
    Kimball, AL; Lovell, DE
  • Hysteretic damping in an elastic body with frictional microcracks
    Saurabh, B; Prasun, J; Anindya, C
  • Elastodynamics with hysteretic damping
    Cornejo Córdova, CJ
  • Vibration analysis of beams with multiple constrained layer damping patches
    Kung, SW; Singh, R
  • Vibration analysis of composite sandwich beams with viscoelastic core by using differential transform method
    Arikoglu, A; Ozkol, I
  • Analysis of nonlinear vibration of hard coating thin plate by finite element iteration method
    Li, H; Ying, L; Sun, W
  • The concept of complex damping
    Myklestad, NO
  • Vectorized adaptive quadrature in MATLAB
    Shampine, LF
  • Dynamic mechanical properties of short sisal fiber reinforced polypropylene composite
    Joseph, PV; Mathew, G; Joseph, K; Groeninckx, G; Thomas, S
  • Forced vertical vibration of rigid circular disc on a transversely isotropic half-space
    Eskandari-Ghadi, M; Fallahi, M; Ardeshir-Behrestaghi, A