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Multiple scales analysis of nonlinear oscillations of a portal frame foundation for several machines

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dc.creator Brasil Reyolando M. L. R. F.
dc.date 1999
dc.date.accessioned 2013-05-30T11:16:50Z
dc.date.available 2013-05-30T11:16:50Z
dc.date.issued 2013-05-30
dc.identifier http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0100-73861999000400007
dc.identifier http://www.doaj.org/doaj?func=openurl&genre=article&issn=01007386&date=1999&volume=21&issue=4&spage=641
dc.identifier.uri http://koha.mediu.edu.my:8181/jspui/handle/123456789/4483
dc.description An analytical study of the nonlinear vibrations of a multiple machines portal frame foundation is presented. Two unbalanced rotating machines are considered, none of them resonant with the lower natural frequencies of the supporting structure. Their combined frequencies is set in such a way as to excite, due to nonlinear behavior of the frame, either the first anti-symmetrical mode (sway) or the first symmetrical mode. The physical and geometrical characteristics of the frame are chosen to tune the natural frequencies of these two modes into a 1:2 internal resonance. The problem is reduced to a two degrees of freedom model and its nonlinear equations of motions are derived via a Lagrangian approach. Asymptotic perturbation solutions of these equations are obtained via the Multiple Scales Method.
dc.publisher The Brazilian Society of Mechanical Sciences
dc.source Journal of the Brazilian Society of Mechanical Sciences
dc.subject Nonlinear Oscillations
dc.subject Structures
dc.subject Perturbation Methods
dc.title Multiple scales analysis of nonlinear oscillations of a portal frame foundation for several machines


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