témavezető: Szilágyi Attila
helyszín (magyar oldal): Institute of Machine Tools and Mechatronics helyszín rövidítés: SGT
A kutatási téma leírása:
The mechanical engineering practice had focused on such linear dynamical models during the previous decades, whose governing equation(s) were composed of linear differential equation or equation system with constant coefficients. In order to obtain more accurate analysis of the constructions, nonlinear dynamical models have been applied and, consequently, the mathematical methods which are capable of solving and analyzing nonlinear models have also been coming to the front during the recent decades. Although the closed-form solutions of such nonlinear differential equations can be set up only in few cases, still there is a strong demand from the side of the industry for solving these nonlinear problems even with the application of certain approximation methods.
There exist a certain set of the analytical methods of approximation, which do not belong into the group of the methods based on series of mathematical functions. These methods are called linearization methods. They do not focus on establishing the exact solution, but would prefer to set up the first approximation solution of the problem by assigning a considered equivalent linear equation to the original nonlinear one.
First the Candidate shall make an extended survey on the matter of nonlinear problems arising in the field of machine tools. Then the Candidate is assumed to pick the most topical issue of the revealed problems, creates the mechanical modell of the system under investigation, establishes the nonlinear governing equations and, first will apply certain linearizing procedure to set up the first approximated solution of the nonlinear system. Based on the results from the linearization, an expression can be derived which is to predict the measure of nonlinearity of the original system, thus the quality of the linearization can also be judged „a priori”. Setting up the approximate analytical solution, the amplitude-frequency functions and the stability conditions of the system shall be established.
felvehető hallgatók száma: 1
Jelentkezési határidő: 2019-06-30
2024. IV. 17. ODT ülés Az ODT következő ülésére 2024. június 14-én, pénteken 10.00 órakor kerül sor a Semmelweis Egyetem Szenátusi termében (Bp. Üllői út 26. I. emelet).
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