Matches in SemOpenAlex for { <https://semopenalex.org/work/W1670831114> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W1670831114 endingPage "53" @default.
- W1670831114 startingPage "38" @default.
- W1670831114 abstract "We consider the motion of a free rigid body with three pairs of elastic rods and with a cavity containing a liquid, in two cases: in a central Newtonian force field and in the absence of external forces. By an application of Rumiantsev's theorem [1] we obtain sufficient stability conditions for relative equilibrium in a circular orbit and to uniform rotations of this system. We show that the presence of a liquid with a free surface in the cavity and the connection of elastic rods to the body have a destabilizing effect on the stability of the corresponding unperturbed motions of the unaltered system. We also point out sufficient stability conditions in the case when less than three pairs of rods are attached to the body. For a large Young's modulus the stability conditions obtained lead (in the absence of the liquid) to the well-known sufficient conditions for the stability of a rigid body. Stability conditions for the case when one pair of rods is attached to the body and when there is no liquid are compared with the stability conditions obtained in [2, 3]. In connection with the assertion made in [2, 3] regarding the novelty of the method used, we remark that this method was previously developed by Rumiantsev and was applied to the solution of a number of problems on the stability of the steady-state motions of a rigid body with a liquid filling [4]." @default.
- W1670831114 created "2016-06-24" @default.
- W1670831114 creator A5077545643 @default.
- W1670831114 date "1972-01-01" @default.
- W1670831114 modified "2023-09-25" @default.
- W1670831114 title "On the stability of certain motions of a rigid body with elastic rods and liquid" @default.
- W1670831114 cites W2004740797 @default.
- W1670831114 cites W2007532136 @default.
- W1670831114 cites W2073245162 @default.
- W1670831114 doi "https://doi.org/10.1016/0021-8928(72)90079-2" @default.
- W1670831114 hasPublicationYear "1972" @default.
- W1670831114 type Work @default.
- W1670831114 sameAs 1670831114 @default.
- W1670831114 citedByCount "4" @default.
- W1670831114 crossrefType "journal-article" @default.
- W1670831114 hasAuthorship W1670831114A5077545643 @default.
- W1670831114 hasConcept C112972136 @default.
- W1670831114 hasConcept C119857082 @default.
- W1670831114 hasConcept C121332964 @default.
- W1670831114 hasConcept C13355873 @default.
- W1670831114 hasConcept C142724271 @default.
- W1670831114 hasConcept C145980571 @default.
- W1670831114 hasConcept C162184086 @default.
- W1670831114 hasConcept C192562407 @default.
- W1670831114 hasConcept C204787440 @default.
- W1670831114 hasConcept C2524010 @default.
- W1670831114 hasConcept C294558 @default.
- W1670831114 hasConcept C33923547 @default.
- W1670831114 hasConcept C41008148 @default.
- W1670831114 hasConcept C57879066 @default.
- W1670831114 hasConcept C71924100 @default.
- W1670831114 hasConcept C74650414 @default.
- W1670831114 hasConceptScore W1670831114C112972136 @default.
- W1670831114 hasConceptScore W1670831114C119857082 @default.
- W1670831114 hasConceptScore W1670831114C121332964 @default.
- W1670831114 hasConceptScore W1670831114C13355873 @default.
- W1670831114 hasConceptScore W1670831114C142724271 @default.
- W1670831114 hasConceptScore W1670831114C145980571 @default.
- W1670831114 hasConceptScore W1670831114C162184086 @default.
- W1670831114 hasConceptScore W1670831114C192562407 @default.
- W1670831114 hasConceptScore W1670831114C204787440 @default.
- W1670831114 hasConceptScore W1670831114C2524010 @default.
- W1670831114 hasConceptScore W1670831114C294558 @default.
- W1670831114 hasConceptScore W1670831114C33923547 @default.
- W1670831114 hasConceptScore W1670831114C41008148 @default.
- W1670831114 hasConceptScore W1670831114C57879066 @default.
- W1670831114 hasConceptScore W1670831114C71924100 @default.
- W1670831114 hasConceptScore W1670831114C74650414 @default.
- W1670831114 hasIssue "1" @default.
- W1670831114 hasLocation W16708311141 @default.
- W1670831114 hasOpenAccess W1670831114 @default.
- W1670831114 hasPrimaryLocation W16708311141 @default.
- W1670831114 hasRelatedWork W1526709189 @default.
- W1670831114 hasRelatedWork W173621852 @default.
- W1670831114 hasRelatedWork W2005563353 @default.
- W1670831114 hasRelatedWork W2014116557 @default.
- W1670831114 hasRelatedWork W2038164445 @default.
- W1670831114 hasRelatedWork W2073742621 @default.
- W1670831114 hasRelatedWork W2075323662 @default.
- W1670831114 hasRelatedWork W2080687271 @default.
- W1670831114 hasRelatedWork W2759266969 @default.
- W1670831114 hasRelatedWork W3086558485 @default.
- W1670831114 hasVolume "36" @default.
- W1670831114 isParatext "false" @default.
- W1670831114 isRetracted "false" @default.
- W1670831114 magId "1670831114" @default.
- W1670831114 workType "article" @default.