FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2118486772> ?p ?o ?g. }

• W2118486772 endingPage "2247" @default.
• W2118486772 startingPage "2219" @default.
• W2118486772 abstract "The aim of this paper was to show that the Lagrange–d’Alembert and its equivalent the Gauss and Appel principle are not the only way to deduce the equations of motion of the nonholonomic systems. Instead of them we consider the generalization of the Hamiltonian principle for nonholonomic systems with non-zero transpositional relations. We apply this variational principle, which takes into the account transpositional relations different from the classical ones, and we deduce the equations of motion for the nonholonomic systems with constraints that in general are nonlinear in the velocity. These equations of motion coincide, except perhaps in a zero Lebesgue measure set, with the classical differential equations deduced with the d’Alembert–Lagrange principle. We provide a new point of view on the transpositional relations for the constrained mechanical systems: the virtual variations can produce zero or non-zero transpositional relations. In particular, the independent virtual variations can produce non-zero transpositional relations. For the unconstrained mechanical systems, the virtual variations always produce zero transpositional relations. We conjecture that the existence of the nonlinear constraints in the velocity must be sought outside of the Newtonian mechanics. We illustrate our results with examples." @default.
• W2118486772 created "2016-06-24" @default.
• W2118486772 creator A5002053366 @default.
• W2118486772 creator A5046015548 @default.
• W2118486772 creator A5069253063 @default.
• W2118486772 date "2014-07-27" @default.
• W2118486772 modified "2023-09-29" @default.
• W2118486772 title "A new approach to the vakonomic mechanics" @default.
• W2118486772 cites W196299715 @default.
• W2118486772 cites W1993541199 @default.
• W2118486772 cites W1995047818 @default.
• W2118486772 cites W2009924185 @default.
• W2118486772 cites W2020482450 @default.
• W2118486772 cites W2024007191 @default.
• W2118486772 cites W2024665749 @default.
• W2118486772 cites W2030344536 @default.
• W2118486772 cites W2036348643 @default.
• W2118486772 cites W2039659752 @default.
• W2118486772 cites W2058959850 @default.
• W2118486772 cites W2077109751 @default.
• W2118486772 cites W2082918513 @default.
• W2118486772 cites W2094204752 @default.
• W2118486772 cites W2162554835 @default.
• W2118486772 cites W2165051422 @default.
• W2118486772 cites W4234509518 @default.
• W2118486772 cites W4235833549 @default.
• W2118486772 doi "https://doi.org/10.1007/s11071-014-1554-3" @default.
• W2118486772 hasPublicationYear "2014" @default.
• W2118486772 type Work @default.
• W2118486772 sameAs 2118486772 @default.
• W2118486772 citedByCount "7" @default.
• W2118486772 countsByYear W21184867722015 @default.
• W2118486772 countsByYear W21184867722016 @default.
• W2118486772 countsByYear W21184867722020 @default.
• W2118486772 countsByYear W21184867722021 @default.
• W2118486772 countsByYear W21184867722023 @default.
• W2118486772 crossrefType "journal-article" @default.
• W2118486772 hasAuthorship W2118486772A5002053366 @default.
• W2118486772 hasAuthorship W2118486772A5046015548 @default.
• W2118486772 hasAuthorship W2118486772A5069253063 @default.
• W2118486772 hasBestOaLocation W21184867722 @default.
• W2118486772 hasConcept C121332964 @default.
• W2118486772 hasConcept C134306372 @default.
• W2118486772 hasConcept C138632511 @default.
• W2118486772 hasConcept C138885662 @default.
• W2118486772 hasConcept C14037181 @default.
• W2118486772 hasConcept C154945302 @default.
• W2118486772 hasConcept C158622935 @default.
• W2118486772 hasConcept C19966478 @default.
• W2118486772 hasConcept C2780813799 @default.
• W2118486772 hasConcept C33923547 @default.
• W2118486772 hasConcept C41008148 @default.
• W2118486772 hasConcept C41895202 @default.
• W2118486772 hasConcept C62520636 @default.
• W2118486772 hasConcept C74650414 @default.
• W2118486772 hasConcept C90509273 @default.
• W2118486772 hasConceptScore W2118486772C121332964 @default.
• W2118486772 hasConceptScore W2118486772C134306372 @default.
• W2118486772 hasConceptScore W2118486772C138632511 @default.
• W2118486772 hasConceptScore W2118486772C138885662 @default.
• W2118486772 hasConceptScore W2118486772C14037181 @default.
• W2118486772 hasConceptScore W2118486772C154945302 @default.
• W2118486772 hasConceptScore W2118486772C158622935 @default.
• W2118486772 hasConceptScore W2118486772C19966478 @default.
• W2118486772 hasConceptScore W2118486772C2780813799 @default.
• W2118486772 hasConceptScore W2118486772C33923547 @default.
• W2118486772 hasConceptScore W2118486772C41008148 @default.
• W2118486772 hasConceptScore W2118486772C41895202 @default.
• W2118486772 hasConceptScore W2118486772C62520636 @default.
• W2118486772 hasConceptScore W2118486772C74650414 @default.
• W2118486772 hasConceptScore W2118486772C90509273 @default.
• W2118486772 hasIssue "3" @default.
• W2118486772 hasLocation W21184867721 @default.
• W2118486772 hasLocation W21184867722 @default.
• W2118486772 hasLocation W21184867723 @default.
• W2118486772 hasLocation W21184867724 @default.
• W2118486772 hasOpenAccess W2118486772 @default.
• W2118486772 hasPrimaryLocation W21184867721 @default.
• W2118486772 hasRelatedWork W150710664 @default.
• W2118486772 hasRelatedWork W1563939944 @default.
• W2118486772 hasRelatedWork W1601453994 @default.
• W2118486772 hasRelatedWork W1752269834 @default.
• W2118486772 hasRelatedWork W2021324626 @default.
• W2118486772 hasRelatedWork W2024007191 @default.
• W2118486772 hasRelatedWork W2035497978 @default.
• W2118486772 hasRelatedWork W2053048081 @default.
• W2118486772 hasRelatedWork W2054683553 @default.
• W2118486772 hasRelatedWork W2082918513 @default.
• W2118486772 hasRelatedWork W2090757135 @default.
• W2118486772 hasRelatedWork W2123389548 @default.
• W2118486772 hasRelatedWork W2125920722 @default.
• W2118486772 hasRelatedWork W2163437293 @default.
• W2118486772 hasRelatedWork W2324194814 @default.
• W2118486772 hasRelatedWork W2360964914 @default.
• W2118486772 hasRelatedWork W2890359788 @default.
• W2118486772 hasRelatedWork W2950323296 @default.
• W2118486772 hasRelatedWork W3103085307 @default.
• W2118486772 hasRelatedWork W3197221284 @default.

• next