Construction of Equivalent Models of Continuous and Discrete-Continuous Systems

• Authors: S. Kasprzyk , R. Marczuk
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

46.70.De; 46.40.-f

Discipline

• 46.40.-f: Vibrations and mechanical waves(see also 43.40.+s Structural acoustics and vibration; 62.30.+d Mechanical and elastic waves; vibrations in mechanical properties of solids)
• 46.70.De: Beams, plates, and shells

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2012
• Volume: 121
• Issue: 1A
• Pages: A-191-A-196

Dates

published

2012-01

Contributors

author

S. Kasprzyk

• 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

author

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

References

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• [7] W. Ostachowicz, M. Krawczuk, J. Sound Vibrat. 150, 191 (1991)
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• [9] S. Kasprzyk, Acta Phys. Pol. A 119, 981 (2011)

Identifiers

DOI

10.12693/APhysPolA.121.A-191