Matches in SemOpenAlex for { <https://semopenalex.org/work/W2007609067> ?p ?o ?g. }
Showing items 1 to 82 of
82
with 100 items per page.
- W2007609067 endingPage "454" @default.
- W2007609067 startingPage "437" @default.
- W2007609067 abstract "In this paper, we present a formulation of the quaternion constraint for rigid body rotations in the form of a standard perfect bilateral mechanical constraint, for which the associated Lagrangian multiplier has the meaning of a constraint force. First, the equations of motion of a scalable body are derived. A scalable body has three translational, three rotational, and one uniform scaling degree of freedom. As generalized coordinates, an unconstrained quaternion and a displacement vector are used. To the scalable body, a perfect bilateral constraint is added, restricting the quaternion to unit length and making the body rigid. This way a quaternion based differential algebraic equation (DAE) formulation for the dynamics of a rigid body is obtained, where the 7×7 mass matrix is regular and the unit length restriction of the quaternion is enforced by a mechanical constraint. Finally, the equations of motion in the form of a DAE are linked to the Newton–Euler equations of motion of a rigid body. The rigid body DAE formulation is useful for the construction of (energy) consistent integrators." @default.
- W2007609067 created "2016-06-24" @default.
- W2007609067 creator A5000682471 @default.
- W2007609067 creator A5077620562 @default.
- W2007609067 date "2011-11-05" @default.
- W2007609067 modified "2023-10-16" @default.
- W2007609067 title "Rigid body dynamics with a scalable body, quaternions and perfect constraints" @default.
- W2007609067 cites W107110140 @default.
- W2007609067 cites W116265298 @default.
- W2007609067 cites W1527786550 @default.
- W2007609067 cites W1969824994 @default.
- W2007609067 cites W1989068779 @default.
- W2007609067 cites W2053829371 @default.
- W2007609067 cites W2092642974 @default.
- W2007609067 cites W2100152897 @default.
- W2007609067 cites W2121871726 @default.
- W2007609067 cites W2128982857 @default.
- W2007609067 cites W2138478504 @default.
- W2007609067 cites W2165354764 @default.
- W2007609067 cites W2500753416 @default.
- W2007609067 cites W595083499 @default.
- W2007609067 doi "https://doi.org/10.1007/s11044-011-9276-5" @default.
- W2007609067 hasPublicationYear "2011" @default.
- W2007609067 type Work @default.
- W2007609067 sameAs 2007609067 @default.
- W2007609067 citedByCount "11" @default.
- W2007609067 countsByYear W20076090672012 @default.
- W2007609067 countsByYear W20076090672015 @default.
- W2007609067 countsByYear W20076090672016 @default.
- W2007609067 countsByYear W20076090672017 @default.
- W2007609067 countsByYear W20076090672019 @default.
- W2007609067 countsByYear W20076090672022 @default.
- W2007609067 countsByYear W20076090672023 @default.
- W2007609067 crossrefType "journal-article" @default.
- W2007609067 hasAuthorship W2007609067A5000682471 @default.
- W2007609067 hasAuthorship W2007609067A5077620562 @default.
- W2007609067 hasBestOaLocation W20076090672 @default.
- W2007609067 hasConcept C121332964 @default.
- W2007609067 hasConcept C134306372 @default.
- W2007609067 hasConcept C14037181 @default.
- W2007609067 hasConcept C145941777 @default.
- W2007609067 hasConcept C145980571 @default.
- W2007609067 hasConcept C200127275 @default.
- W2007609067 hasConcept C2524010 @default.
- W2007609067 hasConcept C2776036281 @default.
- W2007609067 hasConcept C28461519 @default.
- W2007609067 hasConcept C33923547 @default.
- W2007609067 hasConcept C74650414 @default.
- W2007609067 hasConceptScore W2007609067C121332964 @default.
- W2007609067 hasConceptScore W2007609067C134306372 @default.
- W2007609067 hasConceptScore W2007609067C14037181 @default.
- W2007609067 hasConceptScore W2007609067C145941777 @default.
- W2007609067 hasConceptScore W2007609067C145980571 @default.
- W2007609067 hasConceptScore W2007609067C200127275 @default.
- W2007609067 hasConceptScore W2007609067C2524010 @default.
- W2007609067 hasConceptScore W2007609067C2776036281 @default.
- W2007609067 hasConceptScore W2007609067C28461519 @default.
- W2007609067 hasConceptScore W2007609067C33923547 @default.
- W2007609067 hasConceptScore W2007609067C74650414 @default.
- W2007609067 hasIssue "4" @default.
- W2007609067 hasLocation W20076090671 @default.
- W2007609067 hasLocation W20076090672 @default.
- W2007609067 hasLocation W20076090673 @default.
- W2007609067 hasOpenAccess W2007609067 @default.
- W2007609067 hasPrimaryLocation W20076090671 @default.
- W2007609067 hasRelatedWork W2007155332 @default.
- W2007609067 hasRelatedWork W2165354764 @default.
- W2007609067 hasRelatedWork W2495573860 @default.
- W2007609067 hasRelatedWork W2510951092 @default.
- W2007609067 hasRelatedWork W2547911309 @default.
- W2007609067 hasRelatedWork W2613206230 @default.
- W2007609067 hasRelatedWork W2914794850 @default.
- W2007609067 hasRelatedWork W3041294357 @default.
- W2007609067 hasRelatedWork W3104311221 @default.
- W2007609067 hasRelatedWork W4233088983 @default.
- W2007609067 hasVolume "27" @default.
- W2007609067 isParatext "false" @default.
- W2007609067 isRetracted "false" @default.
- W2007609067 magId "2007609067" @default.
- W2007609067 workType "article" @default.