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Prediction of Wear in Reciprocating Dry Sliding via Dissipated Energy and Temperature Rise

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Abstract

An alternative technique aimed at facilitating the calculation of frictional power dissipation in reciprocating dry sliding is presented. The proposed technique can be employed for the prediction of wear in circumstances where the direct measurement of power dissipation is encumbered by practical limitations. Experimental tests are carried out to investigate the relationship between the system’s wear rate, power dissipation, and thermal response. A convenient technique is also proposed to estimate the average contact temperature in a reciprocating sliding contact. The predicted temperatures agree with the experimental measurements. It is also shown how the predicted temperatures can be used for the estimation of wear under reciprocating dry sliding configuration.

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Abbreviations

C :

Total compliance of the test setup (μm N−1)

\( \bar{E}_{d} \) :

Average cyclic frictional energy dissipation (J)

\( \dot{d}(\tau ) \) :

Displacement rate for the upper carriage (m s)

f :

Frequency of oscillation (Hz)

H :

Hardness of the material (MPa)

h f :

Forced convection heat coefficient (W m−2 K−1)

h n :

Natural convection heat coefficient (W m−2 K−1)

K :

Archard’s wear coefficient

\( \bar{K} \) :

Modified Archard’s wear coefficient

k :

Thermal conductivity (W m−1 K−1)

l :

Relative reciprocating sliding amplitude (m)

N :

Normal contact force (N)

n :

Number of oscillatory sliding cycles

p :

Contact pressure (MPa)

P av :

Average power dissipation during the steady state (W)

Q :

Friction force (N)

q :

Frictional heat flux (W m−2)

q s :

Scaled frictional heat flux (W m−2)

q 0 :

Maximum value of the frictional heat flux (W m−2)

qs 0 :

Maximum value of the scaled frictional heat flux (W m−2)

r :

Radius of the pin (m)

t :

Time (s)

t f :

The time at the end of each test (s)

t s :

The time until beginning of the steady state (s)

T :

Temperature (°C)

T ∞ :

Ambient temperature (°C)

v :

Relative oscillatory sliding speed (m s−1)

W :

Wear volume in Archard’s equation (m3)

w n :

Wear volume after n number of oscillatory cycles (m3)

\( \dot{w}_{\text{av}} \) :

Average wear rate during the steady state (m3 s−1)

X :

Sliding distance (m)

X n :

Sliding distance after n number of oscillatory cycles (m)

γ :

Power dissipation-wear factor (mm3 J−1)

δ e :

Displacement measured by the optical encoder (m)

δ r :

Relative sliding displacement between the contact pair (m)

μ :

Friction coefficient

\( \bar{\mu } \) :

Average steady-state friction coefficient

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Acknowledgments

The authors wish to acknowledge the assistance of Metal Improvement Company at Lafayette, LA and Mr. D. Winder in particular for heat treatment of the steel specimens.

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  1. Department of Mechanical Engineering, Louisiana State University, 2508 Patrick Taylor Hall, Baton Rouge, LA, 70803, USA

    A. B. Aghdam & M. M. Khonsari

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Aghdam, A.B., Khonsari, M.M. Prediction of Wear in Reciprocating Dry Sliding via Dissipated Energy and Temperature Rise. Tribol Lett 50, 365–378 (2013). https://doi.org/10.1007/s11249-013-0133-y

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