Opuscula Mathematica
Opuscula Math. 27, no. 2 (2007), 245-252

Differential equation of transverse vibrations of a beam with local stroke change of stiffness

Stanisław Kasprzyk
Margareta Wiciak
Abstract. The aim of this paper is to derive a differential equation of transverse vibrations of a beam with a local, stroke change of stiffness, and to solve it. The presented method is based on the theory of distributions.
Keywords: equation of a beam, joint point, distribution.
Mathematics Subject Classification: 74K10, 46F99.
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Stanisław Kasprzyk
AGH University of Science and Technology, Faculty of Mechanical Engineering and Robotics, al. Mickiewicza 30, 30-059 Cracow, Poland
Margareta Wiciak
Cracow University of Technology, Institute of Mathematics, ul. Warszawska 24, 31-155 Cracow, Poland
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Received: 2006-10-16.
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Stanisław Kasprzyk, Margareta Wiciak, Differential equation of transverse vibrations of a beam with local stroke change of stiffness, Opuscula Math. 27, no. 2 (2007), 245-252, http://dx.doi.org/10.7494/OpMath.2007.27.2.245.
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