Matches in SemOpenAlex for { <https://semopenalex.org/work/W1997566188> ?p ?o ?g. }
Showing items 1 to 100 of
100
with 100 items per page.
- W1997566188 endingPage "798" @default.
- W1997566188 startingPage "785" @default.
- W1997566188 abstract "The Multiple Time Scale (MTS) method is applied to the study of nonlinear resonances of a semi-infinite cable resting on a nonlinear elastic foundation, subject to a constant uniformly distributed load and to a linear viscous damping force. The zero order solution provides the static displacement, which is governed by a nonlinear equation which has been solved in closed form. The first order solution provides the linear resonances, which are seen to be functions of the nonlinearity parameter and of the static displacement at the finite boundary only. Although the first-order governing equation is linear, it has non constant coefficients and cannot be solved in closed form, so that a numerical solution is considered; the eigenfrequencies obtained in this way are also compared with the approximate eigenvalues obtained by the WKB method. At the second order of the MTS expansion, we see that the solution is independent of the intermediate time scale; some additional terms are present, including a time-independent shift of the average position of the oscillations. Finally, the nonlinear frequency–amplitude response curves, which are investigated in detail and which represent the main result of this work, are obtained from the solvability condition at the third order." @default.
- W1997566188 created "2016-06-24" @default.
- W1997566188 creator A5005534741 @default.
- W1997566188 creator A5049112051 @default.
- W1997566188 date "2013-03-01" @default.
- W1997566188 modified "2023-09-26" @default.
- W1997566188 title "Nonlinear resonances of a semi-infinite cable on a nonlinear elastic foundation" @default.
- W1997566188 cites W1481739812 @default.
- W1997566188 cites W1657347807 @default.
- W1997566188 cites W1970223276 @default.
- W1997566188 cites W2001076544 @default.
- W1997566188 cites W2004514914 @default.
- W1997566188 cites W2009717038 @default.
- W1997566188 cites W2023545452 @default.
- W1997566188 cites W2026508990 @default.
- W1997566188 cites W2028913881 @default.
- W1997566188 cites W2030756767 @default.
- W1997566188 cites W2037065062 @default.
- W1997566188 cites W2055598582 @default.
- W1997566188 cites W2070120216 @default.
- W1997566188 cites W2071724104 @default.
- W1997566188 cites W2075735510 @default.
- W1997566188 cites W2094262811 @default.
- W1997566188 cites W2102659312 @default.
- W1997566188 cites W2156836211 @default.
- W1997566188 cites W2162048610 @default.
- W1997566188 cites W2295169085 @default.
- W1997566188 cites W274870236 @default.
- W1997566188 cites W296230981 @default.
- W1997566188 cites W2040089479 @default.
- W1997566188 doi "https://doi.org/10.1016/j.cnsns.2012.08.008" @default.
- W1997566188 hasPublicationYear "2013" @default.
- W1997566188 type Work @default.
- W1997566188 sameAs 1997566188 @default.
- W1997566188 citedByCount "6" @default.
- W1997566188 countsByYear W19975661882014 @default.
- W1997566188 countsByYear W19975661882015 @default.
- W1997566188 countsByYear W19975661882016 @default.
- W1997566188 countsByYear W19975661882017 @default.
- W1997566188 countsByYear W19975661882019 @default.
- W1997566188 crossrefType "journal-article" @default.
- W1997566188 hasAuthorship W1997566188A5005534741 @default.
- W1997566188 hasAuthorship W1997566188A5049112051 @default.
- W1997566188 hasConcept C10138342 @default.
- W1997566188 hasConcept C107551265 @default.
- W1997566188 hasConcept C121332964 @default.
- W1997566188 hasConcept C128803854 @default.
- W1997566188 hasConcept C134306372 @default.
- W1997566188 hasConcept C15744967 @default.
- W1997566188 hasConcept C158622935 @default.
- W1997566188 hasConcept C158693339 @default.
- W1997566188 hasConcept C162324750 @default.
- W1997566188 hasConcept C182310444 @default.
- W1997566188 hasConcept C198082294 @default.
- W1997566188 hasConcept C199360897 @default.
- W1997566188 hasConcept C2777027219 @default.
- W1997566188 hasConcept C33923547 @default.
- W1997566188 hasConcept C41008148 @default.
- W1997566188 hasConcept C542102704 @default.
- W1997566188 hasConcept C62520636 @default.
- W1997566188 hasConcept C88030215 @default.
- W1997566188 hasConceptScore W1997566188C10138342 @default.
- W1997566188 hasConceptScore W1997566188C107551265 @default.
- W1997566188 hasConceptScore W1997566188C121332964 @default.
- W1997566188 hasConceptScore W1997566188C128803854 @default.
- W1997566188 hasConceptScore W1997566188C134306372 @default.
- W1997566188 hasConceptScore W1997566188C15744967 @default.
- W1997566188 hasConceptScore W1997566188C158622935 @default.
- W1997566188 hasConceptScore W1997566188C158693339 @default.
- W1997566188 hasConceptScore W1997566188C162324750 @default.
- W1997566188 hasConceptScore W1997566188C182310444 @default.
- W1997566188 hasConceptScore W1997566188C198082294 @default.
- W1997566188 hasConceptScore W1997566188C199360897 @default.
- W1997566188 hasConceptScore W1997566188C2777027219 @default.
- W1997566188 hasConceptScore W1997566188C33923547 @default.
- W1997566188 hasConceptScore W1997566188C41008148 @default.
- W1997566188 hasConceptScore W1997566188C542102704 @default.
- W1997566188 hasConceptScore W1997566188C62520636 @default.
- W1997566188 hasConceptScore W1997566188C88030215 @default.
- W1997566188 hasIssue "3" @default.
- W1997566188 hasLocation W19975661881 @default.
- W1997566188 hasOpenAccess W1997566188 @default.
- W1997566188 hasPrimaryLocation W19975661881 @default.
- W1997566188 hasRelatedWork W1516683899 @default.
- W1997566188 hasRelatedWork W1873593850 @default.
- W1997566188 hasRelatedWork W1977290209 @default.
- W1997566188 hasRelatedWork W2033504252 @default.
- W1997566188 hasRelatedWork W2080796943 @default.
- W1997566188 hasRelatedWork W2904561294 @default.
- W1997566188 hasRelatedWork W3011136842 @default.
- W1997566188 hasRelatedWork W3196999426 @default.
- W1997566188 hasRelatedWork W4298743592 @default.
- W1997566188 hasRelatedWork W4310148807 @default.
- W1997566188 hasVolume "18" @default.
- W1997566188 isParatext "false" @default.
- W1997566188 isRetracted "false" @default.
- W1997566188 magId "1997566188" @default.
- W1997566188 workType "article" @default.