000015887 001__ 15887
000015887 005__ 20161115135332.0
000015887 04107 $$aeng
000015887 046__ $$k2013-06-12
000015887 100__ $$aKrenk, S.
000015887 24500 $$aRigid Body Time Integration By Convected Base Vectors With Implicit Constraints

000015887 24630 $$n34.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000015887 260__ $$bNational Technical University of Athens, 2013
000015887 506__ $$arestricted
000015887 520__ $$2eng$$aA conservative time integration algorithm based on a convected set of orthonormal base vectors is presented. The equations of motion are derived from an extended Hamiltonian formulation, combining the components of the three base vectors with a set of orthonormality constraints. The particular form of the kinetic energy used in the present formulation is deliberately chosen to correspond to a rigid body rotation, and the orthonormality constraints are introduced via the equivalent Green strain components of the base vectors. The particular form of the extended inertia tensor used here implies a set of orthogonality relations between the base vector components and their conjugate momentum components. These orthogonality relations permit explicit elimination of the Lagrange multipliers associated with the constraints, leading to a projected form of the dynamic equation without explicit algebraic constraints. The differential equations of motion are recast into discrete form using a suitable combination of mean values and increments, which is identified by considering a finite increment of the Hamiltonian. Examples illustrate the accuracy and conservation properties of the algorithm.

000015887 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015887 653__ $$aConservative Time Integration, Rigid Body Rotations, Implicit Constraints, Structural Dynamics.

000015887 7112_ $$aCOMPDYN 2013 - 4th International Thematic Conference$$cIsland of Kos (GR)$$d2013-06-12 / 2013-06-14$$gCOMPDYN2013
000015887 720__ $$aKrenk, S.$$iNielsen, M.
000015887 8560_ $$ffischerc@itam.cas.cz
000015887 8564_ $$s165912$$uhttps://invenio.itam.cas.cz/record/15887/files/1637.pdf$$yOriginal version of the author's contribution as presented on CD, section: CD-RS 13 NUMERICAL METHODS FOR LINEAR AND NONLINEAR DYNAMICS
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000015887 962__ $$r15525
000015887 980__ $$aPAPER