Some theoretical model for determining the temperature field of a multi-disk brake

Yevtushenko, A.A.; Kuciej, М.; Topczewska, Katarzyna

doi:10.1177/1687814020902327

Cited by 10 publications

(12 citation statements)

References 25 publications

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“…

where

is the rise time in contact pressure from zero to the nominal value

, and

is the time of stop. Due to the interaction of friction forces, the linear velocity of vehicle

is reduced from the initial value

to zero at the stop time moment

according to the following law [ 19 , 20 ]:

where

is the initial kinetic energy of the system,

is the friction coefficient,

is the nominal contact area between the pad and disc, and

is the braking time with constant deceleration (

). The braking time, taking into account the temporal profile of the velocity (Equation (2)), is determined from the stop condition

.…”

Section: Statement To the Problemmentioning

confidence: 99%

The Effect of Functionally Graded Materials on Temperature during Frictional Heating at Single Braking

2021

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A mathematical model for evaluation of the temperature mode of the disc–pad system during single braking is proposed. The model is based on the thermal problem of friction formulated for two semi-infinite bodies, compressed with pressure increasing over time while reducing the sliding velocity from the initial value to zero at the stop. The exact solution to this problem was obtained by means of Duhamel’s theorem. Validation of the solution was performed by achieving in special cases parameters of known solution to this problem with constant pressure and velocity (under uniform sliding). The results of the numerical calculations are presented for a selected friction pair, made of functionally graded materials with titanium alloy (disc) and aluminum alloy (pad) cores coated with ceramics graded toward friction surfaces. For the established values of the parameters such as the rise time in pressure and the FGM gradients, the ability to quickly obtain spatiotemporal temperature distributions in the disc and pad was presented. The influence of the variability of these parameters on the maximum temperature of the brake system was also investigated.

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“…

where

is the rise time in contact pressure from zero to the nominal value

, and

is the time of stop. Due to the interaction of friction forces, the linear velocity of vehicle

is reduced from the initial value

to zero at the stop time moment

according to the following law [ 19 , 20 ]:

where

is the initial kinetic energy of the system,

is the friction coefficient,

is the nominal contact area between the pad and disc, and

is the braking time with constant deceleration (

). The braking time, taking into account the temporal profile of the velocity (Equation (2)), is determined from the stop condition

.…”

Section: Statement To the Problemmentioning

confidence: 99%

The Effect of Functionally Graded Materials on Temperature during Frictional Heating at Single Braking

2021

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“…The perfect thermal contact conditions were adopted on the contact surfaces. These assumptions are reasonable only for the short-duration, heavy-loaded friction processes [12][13][14][15][16]. Owing to the symmetry of the problem, it was assumed that the friction processes on the flywheel-clutch disc and clutch disc-pressure plate contact surfaces are the same.…”

Section: Analytical Modelmentioning

confidence: 99%

“…One of these hypotheses is assuming that the variation in temperature is in one dimension only and neglecting many other important factors such as convection, surface roughness, distribution of contact pressure, etc. [10][11][12][13][14][15][16][17][18][19][20][21]. The purpose of all these hypotheses is to obtain an analytical solution by avoiding the solutions for 2D or 3D models.…”

Section: Introductionmentioning

confidence: 99%

Analytical and Numerical Solutions for the Thermal Problem in a Friction Clutch System

Sabri¹,

Topczewska

Jweeg³

et al. 2021

Computation

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The dry friction clutch is an important part in vehicles, which has more than one function, but the most important function is to connect and disconnect the engine (driving part) with driven parts. This work presents a developed numerical solution applying a finite element technique in order to obtain results with high precision. A new three-dimensional model of a single-disc clutch operating in dry conditions was built from scratch. As the new model represents the real friction clutch including all details, the complexity in the geometry of the clutch is considered one of the difficulties that the researchers faced using the numerical solution. The thermal behaviour of the friction clutch during the slip phase was studied. Meanwhile, in the second part of this work, the transient thermal equations were derived from scratch to find the analytical solution for the thermal problem of a clutch disc in order to verify the numerical results. It was found, after comparison of the numerical results with analytical results, that the results of the numerical model are very accurate and the difference between them does not exceed 1%.

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“…3. The effect of convective heat exchange with the environment and wear are negligible (Yevtushenko et al, 2020;Topczewska et al, 2020). So, the whole energy generated during braking is converted into heat.…”

Section: Statement Of the Problemmentioning

confidence: 99%

Effect of Pressure Fluctuations on the Temperature During Braking

Topczewska

Zamojski

2020

Acta Mechanica Et Automatica

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The aim of this study is to develop the numerical–analytical model of frictional heating in a pad/disc system during braking including the pressure fluctuations, engendered by the pump in an anti-skid braking operation. For this purpose, the problem of motion and the one-dimensional thermal problem of friction for a semi-space/semi-space tribosystem were formulated and solved. Obtained solutions allow to calculate temperature distribution on the contact surface and inside the friction elements. Thermal analysis was performed for a metal–ceramic pad and a cast iron disc during one-time braking including the time-dependent, oscillating pressure. The influence of amplitude of pressure fluctuations on the temperature variations was investigated, especially on the value of maximum temperature achieved during braking.

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Some theoretical model for determining the temperature field of a multi-disk brake

Cited by 10 publications

References 25 publications

The Effect of Functionally Graded Materials on Temperature during Frictional Heating at Single Braking

The Effect of Functionally Graded Materials on Temperature during Frictional Heating at Single Braking

Analytical and Numerical Solutions for the Thermal Problem in a Friction Clutch System

Effect of Pressure Fluctuations on the Temperature During Braking

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