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Statics, dynamics and kinematics of multibody contacts
 Štekbauer, Hynek ; Kala, Jiří (referee) ; Krejsa, Martin (referee) ; Němec, Ivan (advisor)
The dissertation deals with the problem of dynamic contact and kinematic constraints between various entities and the related issues of its implementation for static and dynamic finite element analysis. The reason for the development in this area is the increasing demands on functionality of FEM softwares and also accuracy and performance of computational models. Firstly, the problem of enforcing contact conditions in explicit dynamics is addressed. New methods are proposed with respect to the stability of the explicit time integration scheme so that there is no need to reduce the computational time step, adjust the input variables or solve a large system of equations. These methods are based either on basic kinematic principles or on the energy conservation law. Furthermore, attention is paid to different types of constraint conditions having a wide application in civil engineering practice. Understanding them is the starting point for the subsequent definition of the newly designed finite element of the pulley. The correctness of all theoretically proposed methods and their implementation is demonstrated by numerical examples.
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