Initial boundary value problem for a mechanical system with local stroke change of stiffness

Authors

  • Elżbieta Bratuszewska Faculty of Applied Mathematics, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Kraków, Poland

Abstract

The aim of this paper is to present a new method of solving the initial boundary value problem for a mechanical system with local stroke change of stiffness. The method is based on the theory of distributions.

References

P. Antosik, J. Mikusiński, R. Sikorski, Theory of Distributions. The Sequential Approach, Elsevier, PWN, Amsterdam–Warszawa, 1973.
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S. Kasprzyk, S. Sędziwy, Boundary-value problem for differential-algebraic system, Bull. Pol. Ac. Sci. Math. 31 (1983), 9–12.
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S. Kasprzyk, Wyprowadzenie równania różniczkowego drgań belki z lokalną skokową zmianą sztywności, Zeszyty Naukowe Politechniki Rzeszowskiej, 1996.
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L. Schwartz, Metody matematyczne w fizyce, PWN, Warszawa, 1984.
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S. Kasprzyk, M. Wiciak, Differential equation of transverse vibrations of a beam with local stroke change of stiffness, to appear in Opuscula Math. 25 (2005).
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Published

2006-06-03

How to Cite

Bratuszewska, E. (2006). Initial boundary value problem for a mechanical system with local stroke change of stiffness. Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, 5, 5–12. Retrieved from https://studmath.uken.krakow.pl/article/view/13288

Issue

Vol. 5 (2006): Annales Academiae Paedagogicae Cracoviensis Studia Mathematica

Section

Published