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

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.

Bibliographic Details
Main Authors: Stanisław Kasprzyk, Margareta Wiciak
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2007-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol27/2/art/opuscula_math_2720.pdf
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spelling doaj-090e4a75cbfb48bba1d2f957e02a38002020-11-24T23:47:20ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742007-01-012722452522720Differential equation of transverse vibrations of a beam with local stroke change of stiffnessStanisław Kasprzyk0Margareta Wiciak1AGH University of Science and Technology, Faculty of Mechanical Engineering and Robotics, al. Mickiewicza 30, 30-059 Cracow, PolandCracow University of Technology, Institute of Mathematics, ul. Warszawska 24, 31-155 Cracow, PolandThe 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.http://www.opuscula.agh.edu.pl/vol27/2/art/opuscula_math_2720.pdfequation of a beamjoint pointdistribution
collection DOAJ
language English
format Article
sources DOAJ
author Stanisław Kasprzyk
Margareta Wiciak
spellingShingle Stanisław Kasprzyk
Margareta Wiciak
Differential equation of transverse vibrations of a beam with local stroke change of stiffness
Opuscula Mathematica
equation of a beam
joint point
distribution
author_facet Stanisław Kasprzyk
Margareta Wiciak
author_sort Stanisław Kasprzyk
title Differential equation of transverse vibrations of a beam with local stroke change of stiffness
title_short Differential equation of transverse vibrations of a beam with local stroke change of stiffness
title_full Differential equation of transverse vibrations of a beam with local stroke change of stiffness
title_fullStr Differential equation of transverse vibrations of a beam with local stroke change of stiffness
title_full_unstemmed Differential equation of transverse vibrations of a beam with local stroke change of stiffness
title_sort differential equation of transverse vibrations of a beam with local stroke change of stiffness
publisher AGH Univeristy of Science and Technology Press
series Opuscula Mathematica
issn 1232-9274
publishDate 2007-01-01
description 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.
topic equation of a beam
joint point
distribution
url http://www.opuscula.agh.edu.pl/vol27/2/art/opuscula_math_2720.pdf
work_keys_str_mv AT stanisławkasprzyk differentialequationoftransversevibrationsofabeamwithlocalstrokechangeofstiffness
AT margaretawiciak differentialequationoftransversevibrationsofabeamwithlocalstrokechangeofstiffness
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