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This paper is aimed at performing numerical simulations of the behavior of a planar model system consisting of a spherical absorber located in a supporting convex spherical cap. The derived system of nonlinear differential equations is subjected to a numerical solution. First, the time response of the system to harmonic excitation is analyzed. For this excitation, the frequency of the excitation was gradually changed, thus, resonance curves were created. This paper also examines the effect of initial conditions. For this purpose, numerical simulations of the system without an external excitation source have been performed. The results are phase portraits for selected pairs of initial conditions. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to present a unified methodology for the derivation and implementation of the continuous dynamics (equations of motion) and discrete dynamics (transition equations) that comprise the hybrid model of an passive biped robot. A developed general model derivation procedure is presented which generates a complete mathematical model for a selected underactuated bipedal robot. The generated mathematical models are implemented in Simulink using the Stateflow tool. The functionality of the proposed approach has been demonstrated using several case studies. [ABSTRACT FROM AUTHOR]

The paper aims to assess the usability of vacant areas within the Slovak University of Technology in Bratislava, to procure and install a new deuterium-deuterium neutron generator. The complex 3D model of the vacant areas either with their close vicinity is modelled in the SCALE system and the first simulations of radiation doses at the 3 principal positions are calculated utilizing the MAVRIC sequence and variance reduction methods. The assumed energy of neutrons emitted from the generator is 2.5 MeV, whereas a first approximation, the isotropic distribution is assumed. A discussion about the model simplifications and the first radiation dose results are provided. [ABSTRACT FROM AUTHOR]