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2012 | 121 | 1A | A-191-A-196
Article title

Construction of Equivalent Models of Continuous and Discrete-Continuous Systems

Content
Title variants
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
Year
Volume
121
Issue
1A
Pages
A-191-A-196
Physical description
Dates
published
2012-01
References
  • [1] P. Antosik, J. Mikulski, R. Sikorski, Theory of Distributions; the Sequential Approach, Elsevier Sci. Publ., New York 1973
  • [2] F.P. Beer, E.R. Johnson (Jr.), Mechanics for Engineers, Cliffs, New Jersey 1977
  • [3] S. Kasprzyk, S. Sedziwy, Bull. Acad. Sci. Math. 31, 329 (1983)
  • [4] L. Schwartz, Mathematics for Physical Sciences, Dover Books on Mathematics, Dover Publ., Dover 2008
  • [5] S. Kasprzyk, S. Sedziwy, Bull. Acad. Sci. Math. 43, 413 (1995)
  • [6] S. Kasprzyk, Dynamics of continuous Systems, Wydawnictwo AGH, Kraków 1994 (in Polish)
  • [7] W. Ostachowicz, M. Krawczuk, J. Sound Vibrat. 150, 191 (1991)
  • [8] L. Majkut, Arch. Acoust. 31, 17 (2006)
  • [9] S. Kasprzyk, Acta Phys. Pol. A 119, 981 (2011)
Document Type
Publication order reference
YADDA identifier
bwmeta1.element.bwnjournal-article-appv121n1a41kz
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