Author of thesis: Ing. Jaromír Hošek
Acad. year: 2012/2013
Supervisor: doc. Ing. Tomáš Kisela, Ph.D.
Reviewer: doc. Ing. Petr Tomášek, Ph.D.
Abstract:In this thesis we deal with the issue of damped oscillations. Besides the classic description using member directly proportional to the first derivative position we focus on the model containing derivatives of non-integer order, so-called the fractional model of damped oscillations. The behavior of both models is studied through the test applications describing the movement of one, two, respectively three bodies connected by springs. The main tool for solving is the Laplace transform method. Besides the computational aspects we discuss some qualitative properties of solutions, especially dependence on order derivative in the fractional model and the behavior of the center of gravity system position.
Differential equation, fractional calculus, Laplace transform, damped oscillation
Date of defence
18.06.2013
Result of the defence
Defended (thesis was successfully defended)
Grading
B
Language of thesis
Czech
Faculty
Department
Study programme
Applied Sciences in Engineering (B3901-3)
Field of study
Mathematical Engineering (B-MAI)
Composition of Committee
doc. RNDr. Jiří Karásek, CSc. (předseda)
Mgr. Jana Hoderová, Ph.D. (místopředseda)
RNDr. Karel Mikulášek, Ph.D. (člen)
RNDr. Rudolf Hlavička, CSc. (člen)
Ing. Josef Bednář, Ph.D. (člen)
Supervisor’s report
doc. Ing. Tomáš Kisela, Ph.D.
Grade proposed by supervisor: B
Reviewer’s report
doc. Ing. Petr Tomášek, Ph.D.
Grade proposed by reviewer: C