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Bachelor's Thesis
Author of thesis: Bc. Nichole Ann Philip
Acad. year: 2025/2026
Supervisor: Ing. Miroslav Hrstka, Ph.D.
Reviewer: Ing. Oldřich Ševeček, Ph.D.
This thesis deals with the computational modelling of a compound rotating circular disc sub jected to a uniform temperature field. The main objective was to analyze the stress and de formation behaviour of the compound rotating disc composed of two, three, and four materials under thermo-mechanical loading conditions. First, the theoretical formulation of the rotating disc problem was established using elasticity and equilibrium equations in cylindrical coordi nates. Based on these relations, analytical expressions for radial stress, circumferential stress, and radial displacement were derived and were used to create analytical models for compound disc configurations. A computational model based on the analytical formulation was built in Python for evaluating the mechanical response of the considered disc configurations. In parallel, finite element models were also created using ANSYS Mechanical APDL to simulate the thermo mechanical behaviour of the compound rotating discs under rotational loading, thermal loading and interface contact conditions. The obtained analytical and finite element results showed strong agreement in terms of stress and displacement distributions, validating the developed analytical approach. Additional parametric studies were performed to evaluate the influence of interference values, angular velocity, and temperature field on the stresses and deformation of the disc. The results confirmed that the developed analytical and finite element approaches provide reliable tools for assessing the thermo-mechanical behaviour of compound rotating discs and may support future engineering analysis and optimization of rotating structures operating under combined thermal and mechanical loading.
Rotating disc; stress; thermal strain; angular velocity; finite element modelling; compound disc
Date of defence
17.06.2026
Result of the defence
Defended (thesis was successfully defended)
Grading
A
Process of defence
The student presented the committee with the progress of the work, the results and conclusions of the thesis, and answered the reviewer's questions. Doc. Šremr discussed a specific equation from the thesis and asked whether it came from the literature. The student confirmed that it did. Prof. Novotný asked whether the analytical equations in the thesis had been derived using AI or manually. The student stated that she had derived them manually. Doc. Charvát asked why several materials had been used within a single disc. According to the student, using different materials makes sense because of their differing strength. Doc. Jan asked for a physical explanation of why the stresses in the disc are discontinuous. The student explained and described the graphs. A discussion followed on the materials used and their properties, and on the limits of the model.
Language of thesis
English
Faculty
Fakulta strojního inženýrství
Department
Institute of Solid Mechanics, Mechatronics and Biomechanics
Study programme
Fundamentals of Mechanical Engineering (B-STI-A)
Composition of Committee
doc. Ing. František Lízal, Ph.D. (člen) doc. Ing. Vít Jan, Ph.D. (člen) doc. Ing. Jiří Šremr, Ph.D. (člen) prof. Ing. Pavel Novotný, Ph.D. (předseda) doc. Ing. Pavel Charvát, Ph.D. (místopředseda)
Supervisor’s reportIng. Miroslav Hrstka, Ph.D.
Grade proposed by supervisor: A
Reviewer’s reportIng. Oldřich Ševeček, Ph.D.
Grade proposed by reviewer: B
Responsibility: Mgr. et Mgr. Hana Odstrčilová