Construction of Equivalent Models of Continuous and Discrete-Continuous Systems
S. Kasprzyk and R. Marczuk
AGH University of Science and Technology, Faculty of Mechanical Engineering and Robotics, Department of Mechanics and Vibroacoustics, al. A. Mickiewicza 30, 30-059 Krakow, Poland
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New models have been constructed for three physical systems. These models are characterized by a uniform: and transparent mathematical description. The mathematical description belongs to the class of generalized functions, which means that all equations as well as their solutions are understood in the sense of weak topology. The elements of the set of generalized functions need not be differentiable (in the classical sense) at each point domain of the function. Analyzing of actual systems in the class of generalized functions does not require a division into subsystems, which simplifies significantly execution of all mathematical operations. As compared with the classical methods, those presented in the study allow for a much faster achievement of the goal.
DOI: 10.12693/APhysPolA.121.A-191
PACS numbers: 46.70.De, 46.40.-f