dc.contributor.author | Cauteș, Gheorghe | |
dc.date.accessioned | 2017-10-12T10:30:04Z | |
dc.date.available | 2017-10-12T10:30:04Z | |
dc.date.issued | 2012 | |
dc.identifier.issn | 1224-5615 | |
dc.identifier.uri | http://10.11.10.50/xmlui/handle/123456789/4426 | |
dc.description | The Annals of ''Dunarea de Jos'' University of Galati : Fascicle XIV : MECHANICAL ENGINEERING, ISSN 1224 - 5615 | ro_RO |
dc.description.abstract | 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 them 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 a variable coefficient which
describes the parametric free vibrations of mechanical systems. | ro_RO |
dc.language.iso | en | ro_RO |
dc.publisher | Universitatea "Dunărea de Jos" din Galați | ro_RO |
dc.subject | vibration | ro_RO |
dc.subject | mechanical system | ro_RO |
dc.subject | non-linear | ro_RO |
dc.title | The Parametrical Free Vibrations of Elastic Systems, the Analytical Exact Solutions | ro_RO |
dc.type | Article | ro_RO |