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Bog'liq
анг Трибология. Махкамов

No. p / p

Material

τ 0 , MPa

β

1

Lead

3.6

0.057

2

Silver

10.0

0.081

3

Copper

15.0

0.08

4

Tin

5.0

0.068

5

Indium

1.5

0.066

For run-in surfaces, the coefficient of friction is independent of the load and can be calculated from the equation:
(5.9)
where E is the modulus of elasticity of the deformable body.
It is interesting to note that, according to Yu.N. Vasiliev, the coefficient β characterizes the share of the work of the friction forces spent on the wear of rubbing bodies.
Thus, the total coefficient of friction on a single contact patch
(5.10)
where for plastic contact k=0.55; for elastic k=0.2α g .
Calculation of friction coefficient for multiple contact. For an ensemble of irregularities, the friction forces on single contact patches are summed up and, for a multiple contact, the friction forces are calculated by the formula:
(5.11)
where ΔF i - friction force arising on a single arbitrary microroughness; n g is the number of microroughnesses that have penetrated to the same depth.
After a series of substitutions and simple transformations, equations for calculating the friction coefficient for various types of frictional contact are obtained from here. Such an equation looks like:

  • for unsaturated elastic contact

(5.12)

  • for saturated elastic contact

(5.13)

(5.14)

  • for saturated plastic contact

(5.15)
In the above calculation equations: τ 0 and β - friction constants, depending on the physico-chemical state of the surfaces of the contacting bodies; α g - coefficient of hysteresis losses; ν - parameter of the reference curve of the surface profile; k 1 - coefficient depending on the parameter ν (Fig. 6); E - modulus of elasticity of the deformable body; µ - Poisson's ratio; h - the value of the convergence of surfaces (depth of introduction of a single unevenness); r is the radius of the irregularity modeled by the sphere; h cf - the average value of the introduction.
The analysis of the above equations shows that they take into account the physical and mechanical properties of the contacting bodies: in equations (5.12) and (5.13) - through the quantities E, µ, α g ; in equations (5.14) and (5.15) - through the quantities HB; physical and chemical properties of interacting surfaces through the values of the parameters τ 0 and β, microtopography of surfaces through the values of ν and r, loading parameters - through the values of h - in all equations.


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