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  • Scientific papers - Annals of "Dunarea de Jos" University of Galati - Analele științifice ale Universității "Dunărea de Jos" din Galați
  • Fascicula XIV
  • 1995-2015
  • 2010 fascicula14 nr1
  • Voir le document
  •   Accueil de DSpace
  • Scientific papers - Annals of "Dunarea de Jos" University of Galati - Analele științifice ale Universității "Dunărea de Jos" din Galați
  • Fascicula XIV
  • 1995-2015
  • 2010 fascicula14 nr1
  • Voir le document
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The Analytical Exact Solutions of Non-Linear Differential Equations Which Describe the Parametric Free Vibrations of Mechanical Systems

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ugal_f14_2010_Cautes_Gheorghe.pdf (156.4Ko)
Date
2010
Auteur
Cauteș, Gheorghe
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Résumé
The movements of many material systems can be described by differential equations that have coefficients that depend on time. It is difficult to determine the solutions of these equations. Although many concrete problems lead to non-linear differential equations where we can also find the term of variable damping, the classic equations that have been studied more were Hill or Mathieu, with periodic coefficient, that do not contain derivations of the first order. At this kind of equations, we reduce it to second order using substitutions as we will demonstrate. In this work, we show that we can obtain analytical exact solutions for non-linear homogeneous differential equations with variable coefficient which describe the parametric free vibrations of mechanical systems.
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http://10.11.10.50/xmlui/handle/123456789/4912
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  • 2010 fascicula14 nr1 [16]

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