{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,4]],"date-time":"2024-09-04T00:45:15Z","timestamp":1725410715896},"reference-count":0,"publisher":"ASMEDC","content-domain":{"domain":["asmedigitalcollection.asme.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2002,1,1]]},"abstract":"<jats:p>We recently developed a symbolic-numerical formulation for the nonlinear planar motion of rotors under fluid confinement, based on a spectral\/Galerkin approach, for gap geometries of about \u03b4 = H\/R \u2248 0.1 \u2014 where H is the average annular gap and R is the rotor radius. Results showed a quite good agreement between the class of approximate models generated, the corresponding analytical exact planar model and experiments. This methodology can be almost entirely automated on a symbolic computing environment. In the present paper this symbolic-numerical spectral\/Galerkin procedure is extended in order to deal with nonlinear orbital motions \u2014 X (t) and Y (t) taking place in orthogonal directions. Numerical simulations performed over a centered rotor configuration maintained by non-isotropic supports (Kyst\/Kxst = 0.4, where kxst and kyst stand for the structural stiffnesses), which exhibit an interesting dynamics, show a quite good agreement between this type of approximate models and the corresponding analytical exact (but quite involved) model, developed in the past by the authors. With the proposed symbolic-numerical approach one can obtain accurate nonlinear dynamical formulations enabling the study, understanding and prediction of nonlinear orbital rotor-dynamics.<\/jats:p>","DOI":"10.1115\/imece2002-32414","type":"proceedings-article","created":{"date-parts":[[2008,5,27]],"date-time":"2008-05-27T11:08:31Z","timestamp":1211886511000},"page":"369-376","update-policy":"http:\/\/dx.doi.org\/10.1115\/crossmarkpolicy-asme","source":"Crossref","is-referenced-by-count":1,"title":["Nonlinear Analysis of the Orbital Motions of Immersed Rotors Using a Spectral\/Galerkin Approach"],"prefix":"10.1115","author":[{"given":"Miguel","family":"Moreira","sequence":"first","affiliation":[{"name":"Polytechnic Institute of Setubal, Setubal, Portugal"}]},{"given":"Jose\u00b4","family":"Antunes","sequence":"additional","affiliation":[{"name":"Institute of Nuclear Technology, Sacavem, Portugal"}]},{"given":"Heitor","family":"Pina","sequence":"additional","affiliation":[{"name":"Technical Institute, Lisboa, Portugal"}]}],"member":"33","published-online":{"date-parts":[[2008,6,3]]},"event":{"name":"ASME 2002 International Mechanical Engineering Congress and Exposition","start":{"date-parts":[[2002,11,17]]},"sponsor":["Design Engineering Division"],"location":"New Orleans, Louisiana, USA","end":{"date-parts":[[2002,11,22]]},"acronym":"IMECE2002"},"container-title":["Design Engineering"],"original-title":[],"link":[{"URL":"http:\/\/asmedigitalcollection.asme.org\/IMECE\/proceedings-pdf\/doi\/10.1115\/IMECE2002-32414\/2580193\/369_1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"http:\/\/asmedigitalcollection.asme.org\/IMECE\/proceedings-pdf\/doi\/10.1115\/IMECE2002-32414\/2580193\/369_1.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T14:41:43Z","timestamp":1578667303000},"score":1,"resource":{"primary":{"URL":"https:\/\/asmedigitalcollection.asme.org\/IMECE\/proceedings\/IMECE2002\/36282\/369\/297375"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,1,1]]},"references-count":0,"URL":"https:\/\/doi.org\/10.1115\/imece2002-32414","relation":{},"subject":[],"published":{"date-parts":[[2002,1,1]]}}}