Date of Award


Document Type

Masters Thesis

Degree Name


Organizational Unit

Daniel Felix Ritchie School of Engineering and Computer Science, Mechanical and Materials Engineering

First Advisor

Yun-Bo Yi, Ph.D.

Second Advisor

Mohammad A. Matin, Ph.D.


Thermal buckling, Thermoelastic instability (hot spot), Brake disc


An engaged brake system generates high temperature gradients in the brake rotor and brake pads. This high temperature gradient in turn induces thermal buckling. During high speed rotation, vibration is likely to occur in the system. In terms of a brake disc vibration will occur when there is a misalignment of the brake disc or thermoelastic instability (hot spot) forms on the brake rotor. Coupled and uncoupled problems of thermal buckling and vibration of a brake disc are analyzed and presented using finite element analysis in this paper. Thermal buckling depends on the direction of the high temperature gradient. Having the temperature distributed either in the radial direction or axial direction affects the critical buckling load, which shows a noticeable change in the buckling temperature. Effects of vibration on thermal buckling and effects of the buckling temperature on vibration were analyzed as the coupling analysis of vibration and thermal buckling. In a simplified thermal buckling study, the thermal loading conditions were linear, sinusoidal and exponential temperature profiles distributed increasingly in the radial direction with the minimum temperature at the inner radius and maximum temperature at the outer radius. Each temperature profile had a constant temperature change of 228°C. Uniform temperatures were assumed in the axial and circumferential directions.

Publication Statement

Copyright is held by the author. User is responsible for all copyright compliance.

Rights Holder

Joseph-shaahu Shaahu


Received from ProQuest

File Format




File Size

62 p.


Mechanical engineering