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Bending of Beam with Free Ends on Non-linear Subsoil
Sysala, Stanislav
A semi-coercive problem with a beam on a unilateral elastic subsoil of Winkler type is investigated in the contribution. Firstly, the existence, the uniqueness and the continuous dependence on data of the problem solution are discussed. Secondly, the problem is approximated by the finite element method, where the subsoil is replaced by insulated "springs" due to a numerical quadrature. The relations between the original problem and the family of approximated problems are introduced. Thirdly, suitable numerical methods of Newton type are introduced. The convergence analysis of the methods is investigated. The dependence of the methods on the discretization parameter and the load is also discussed. And finally, some of the theoretical results are illustrated on numerical examples.
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Quadratures of Newton-Cotes type
Bastl, Petr ; Najzar, Karel (referee) ; Kofroň, Josef (advisor)
In present work we study one of a method on approximation definite integral and important factors which in fluence convergency. It is Newton - Cotes formula. next in work is processed expansion formula on two-dimension problems. Here is describe a Romberg method too. The method is derive just from Newton - Cotes quadrature. Therefore we compare this two method. Single parts are completed with examples which refiect problems with using these formulae.
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Parameter Identification of Permanent Magnet Synchronous Motor
Veselý, Ivo ; Bobál, Vladimír (referee) ; Janeček, Eduard (referee) ; Blaha, Petr (advisor)
The purpose of this dissertation is to design identification methods for identifying a permanent magnet synchronous motor. The whole identification and motor control is carried out in d-q coordinates, and the program used for processing and control was the matlab simulink, together with the real time platform DSpace. The work focuses on two main areas of identification, off-line identification and on-line identification. For offline identification the frequency analysis was used with the lock rotor test to get three main parameters. They are the quadrature and direct inductances and stator resistance. In the online mode, the identified parameters were extended to magnet flux _f identified by MRAS method. The remaining parameters were again identified by frequency analysis, which was adapted into online mode, and simultaneously applied to the identification of several part in one time. The next method is Newton method, which is used for estimating stator resistance of the motor, without the need to apply any signal.
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