Modeling of the temperature regime and stress state in the thermal sensitive pad-disk brake system

Abstract

An analytical-numerical nonlinear model to investigate temperature fields and thermal stresses in a pad and a disk for a single braking with a constant deceleration has been proposed. For this purpose, the boundary-value heat conduction problem for a tribosystem strip-semi-space has been formulated, which takes into account the temperature dependence of the thermophysical properties of materials. The solution to this problem has been obtained by a partial linearization through the Kirchhoff substitution, and next with a subsequent use of the method of linearizing parameters. Knowing the distribution of temperature fields in the elements of a friction pair, the thermal stresses have been established within the theory of thermal bending of plates. In this case, the temperature dependence of the Young's modulus, Poisson's ratio, and linear thermal expansion of the pad and disk materials have been additionally taken into account. The numerical analysis has been performed for a friction pair consisting of a titanium alloy pad and a steel disk.

Research progress of temperature field calculation of disc brake braking interface based on numerical analysis

“…Research areas Research method or software Important content Yuan et al 45,46 High speed train brake Theoretical finite element calculation Calculation input for heat flow Zhang et al 47 Wind power brake Abaqus Calculation input for heat flow Wang et al 48 High speed train Ansys software Maximum temperature when simulating high speed braking Yevtushenko et al, 49 Adamowicz and Grzes, 50 Yevtushenko et al, 51 and Yevtushenko and Grzes 52 High speed train brake Chichinadze method approximation and MD Nastran finite element package…”

An Innovative Model Temperature Prediction For A Pulley In A Belt Drive

“…One study used Jaeger's classical heat source method to establish general analytical solutions for temperature increases related to various forms of contact surfaces and thermal intensity distribution [12]. Some three-dimensional analytical models were created both theoretically and experimentally to predict contact surface temperatures and heat partitioning coefficients for cylinderical scenarios [13] [14]. Another study established an analytical-numerical algorithm to calculate the heat map of an entire braking system with the disk and pad inside [15].…”

“…p T and ' p Φ are under baseline conditions and prime are added. They are collected for following pulley heat distribution calculations[14].…”

Analytical model to investigate distributions of the thermal stresses in the pad and disk for different temporal profiles of friction power

“…12,13 Issues related to determination of the quasi-static thermal stresses in the friction elements of a braking system, based on exact solutions to the one-dimensional thermal problems of friction, were considered in the literature. [14][15][16][17][18] Calculation schemes devised in those works concern modeling of the frictional heating of the paddisk system by means of appropriate solutions for two replacement systems: (1) two-element (strip-semi-space) and (2) three-element (consisting of a homogeneous half-space and a protective strip deposited on a semiinfinite homogeneous foundation). In both schemes, the case of a single braking process with a constant retardation was considered when the specific friction power linearly decreases with time from maximum value at the initial moment to zero at the moment of standstill.…”