Matches in SemOpenAlex for { <https://semopenalex.org/work/W2609050250> ?p ?o ?g. }
Showing items 1 to 82 of
82
with 100 items per page.
- W2609050250 abstract "Abstract For mechanical systems subject to time dependent, holonomic constraints, the principle of virtual work is apparently required to derive D'Alembert's equations of motion. This is in contrast to situations where the constraints are time independent, where the equations of motion can be derived by standard arguments using vector calculus and linear algebra. Attempts to apply this method when some of the constraints have an explicit time dependence lead extra terms in the equations of motion. These apparent terms are removed by appealing to the principle of virtual work. In this work we show that, for the cases of universal, revolute, and telescopic joints between two rigid bodies of which one's motion is specified externally, these terms apparently vanish identically when the computer algebra system Mathematica is used. This leads us to provide lengthy but elementary analytic proofs that the extra terms vanish identically for the three cases which, we believe, are exhaustive for real mechanical system." @default.
- W2609050250 created "2017-05-05" @default.
- W2609050250 creator A5024723880 @default.
- W2609050250 date "2017-01-01" @default.
- W2609050250 modified "2023-09-25" @default.
- W2609050250 title "Criterion for the Validity of D'Alembert's Equations of Motion" @default.
- W2609050250 cites W1634894341 @default.
- W2609050250 cites W2046163287 @default.
- W2609050250 cites W2095334433 @default.
- W2609050250 cites W3038698521 @default.
- W2609050250 doi "https://doi.org/10.1016/bs.aiq.2017.03.006" @default.
- W2609050250 hasPublicationYear "2017" @default.
- W2609050250 type Work @default.
- W2609050250 sameAs 2609050250 @default.
- W2609050250 citedByCount "1" @default.
- W2609050250 countsByYear W26090502502020 @default.
- W2609050250 crossrefType "book-chapter" @default.
- W2609050250 hasAuthorship W2609050250A5024723880 @default.
- W2609050250 hasConcept C104114177 @default.
- W2609050250 hasConcept C108710211 @default.
- W2609050250 hasConcept C121332964 @default.
- W2609050250 hasConcept C135628077 @default.
- W2609050250 hasConcept C136119220 @default.
- W2609050250 hasConcept C136560751 @default.
- W2609050250 hasConcept C14037181 @default.
- W2609050250 hasConcept C154945302 @default.
- W2609050250 hasConcept C18762648 @default.
- W2609050250 hasConcept C199343813 @default.
- W2609050250 hasConcept C202444582 @default.
- W2609050250 hasConcept C2524010 @default.
- W2609050250 hasConcept C2777686260 @default.
- W2609050250 hasConcept C2777964439 @default.
- W2609050250 hasConcept C33923547 @default.
- W2609050250 hasConcept C41008148 @default.
- W2609050250 hasConcept C71924100 @default.
- W2609050250 hasConcept C74650414 @default.
- W2609050250 hasConcept C97355855 @default.
- W2609050250 hasConceptScore W2609050250C104114177 @default.
- W2609050250 hasConceptScore W2609050250C108710211 @default.
- W2609050250 hasConceptScore W2609050250C121332964 @default.
- W2609050250 hasConceptScore W2609050250C135628077 @default.
- W2609050250 hasConceptScore W2609050250C136119220 @default.
- W2609050250 hasConceptScore W2609050250C136560751 @default.
- W2609050250 hasConceptScore W2609050250C14037181 @default.
- W2609050250 hasConceptScore W2609050250C154945302 @default.
- W2609050250 hasConceptScore W2609050250C18762648 @default.
- W2609050250 hasConceptScore W2609050250C199343813 @default.
- W2609050250 hasConceptScore W2609050250C202444582 @default.
- W2609050250 hasConceptScore W2609050250C2524010 @default.
- W2609050250 hasConceptScore W2609050250C2777686260 @default.
- W2609050250 hasConceptScore W2609050250C2777964439 @default.
- W2609050250 hasConceptScore W2609050250C33923547 @default.
- W2609050250 hasConceptScore W2609050250C41008148 @default.
- W2609050250 hasConceptScore W2609050250C71924100 @default.
- W2609050250 hasConceptScore W2609050250C74650414 @default.
- W2609050250 hasConceptScore W2609050250C97355855 @default.
- W2609050250 hasLocation W26090502501 @default.
- W2609050250 hasOpenAccess W2609050250 @default.
- W2609050250 hasPrimaryLocation W26090502501 @default.
- W2609050250 hasRelatedWork W1994889291 @default.
- W2609050250 hasRelatedWork W2006120915 @default.
- W2609050250 hasRelatedWork W2030655743 @default.
- W2609050250 hasRelatedWork W2082918513 @default.
- W2609050250 hasRelatedWork W2084273674 @default.
- W2609050250 hasRelatedWork W2090757135 @default.
- W2609050250 hasRelatedWork W2123389548 @default.
- W2609050250 hasRelatedWork W2163437293 @default.
- W2609050250 hasRelatedWork W2218830589 @default.
- W2609050250 hasRelatedWork W2287520722 @default.
- W2609050250 hasRelatedWork W2289846171 @default.
- W2609050250 hasRelatedWork W2317363628 @default.
- W2609050250 hasRelatedWork W2615072153 @default.
- W2609050250 hasRelatedWork W2935192814 @default.
- W2609050250 hasRelatedWork W2950323296 @default.
- W2609050250 hasRelatedWork W2952214916 @default.
- W2609050250 hasRelatedWork W2952491624 @default.
- W2609050250 hasRelatedWork W3103085307 @default.
- W2609050250 hasRelatedWork W3197221284 @default.
- W2609050250 isParatext "false" @default.
- W2609050250 isRetracted "false" @default.
- W2609050250 magId "2609050250" @default.
- W2609050250 workType "book-chapter" @default.