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2011 | 119 | 6A | 981-985
Article title

Applicability of the Fourier Expansion Method of Separation of Variables in the Linear Discrete-Continuous Systems with Distributional Coefficients

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EN
Abstracts
EN
The analytical examination of mechanical systems in the aspect of their vibro-isolation can be limited to the construction of a computational system. The analytical description of the adopted appropriate computational model may be executed with the help of a set of differential equations of the second order, differential equations with partial derivatives or of both types at the same time. The latest description is associated with the so-called discrete-continuous systems. It is the most convenient to analyze the vibrations of the linear discrete-continuous systems in the class of functions generalized with the Fourier method of separation of variables. Until now it was possible to execute only for a small set of parameters of the system's structure. In the work the author presents a computational model that covers all the structural parameters of the system.
Keywords
EN
Contributors
author
  • Katedra Mechaniki i Wibroakustyki, AGH - UST, al. A. Mickiewicza 30, 30-059 Kraków, Poland
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 Yersey 1977
  • 3. S. Kasprzyk, S. Sędziwy, Bull. Acad. Sci. Math. 31, 329 (1983)
  • 4. S. Kasprzyk, S. Sędziwy, Bull. Acad. Sci. Tech. Sci. 43, 413 (1995)
  • 5. L. Schwartz, Mathematics for Physical Sciences, Dover Books on Mathematics, Dover Publ., Dover 2008
Document Type
Publication order reference
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YADDA identifier
bwmeta1.element.bwnjournal-article-appv119n6a16kz
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