On conservation of energy and kinematic compatibility in dynamics of nonlinear velocity-based three-dimensional beams
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Publication:784074
DOI10.1007/s11071-018-4634-yzbMath1439.37080OpenAlexW2900165160WikidataQ128991877 ScholiaQ128991877MaRDI QIDQ784074
Publication date: 5 August 2020
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-018-4634-y
energy conservationstructural dynamicsimplicit time integrationnonlinear beamskinematic compatibilityrotational quaternions
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)
Related Items (3)
Isogeometric collocation for implicit dynamics of three-dimensional beams undergoing finite motions ⋮ A consistent strain-based beam element with quaternion representation of rotations ⋮ Momentum and near-energy conserving/decaying time integrator for beams with higher-order interpolation on \(SE(3)\)
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