AN ENERGY-CONSERVING CO-ROTATIONAL PROCEDURE FOR THE DYNAMICS OF PLANAR BEAM STRUCTURES

DOI<2265::AID-NME954>3.0.CO;2-O 10.1002/(SICI)1097-0207(19960715)39:13<2265::AID-NME954>3.0.CO;2-OzbMath0881.73125OpenAlexW2051639887MaRDI QIDQ4349448

Ugo Galvanetto, M. A. Crisfield

Publication date: 24 August 1997

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19960715)39:13<2265::aid-nme954>3.0.co;2-o

zbMATH Keywords

implicit nonlinear dynamic analysis

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05)

Related Items

Nonlinear model order reduction for flexible multibody dynamics: a modal derivatives approach, A modal derivatives enhanced Rubin substructuring method for geometrically nonlinear multibody systems, An explicit time integration method for structural dynamics using septuple B-spline functions, A consistent 3D corotational beam element for nonlinear dynamic analysis of flexible structures, Unnamed Item, Efficient formulation for dynamics of corotational 2D beams, Application of the energy-conserving integration method to hybrid simulation of a full-scale steel frame, Time integration in the context of energy control and locking-free finite elements, Dynamic analysis of 3D beams with joints in the presence of large rotations, Unnamed Item, Interpolation of rotational variables in nonlinear dynamics of 3D beams, Stable implicit time-integration of flexible rotating structures -- explanation for instabilities and concepts for avoidance, Coupling of BEM with a large displacement and rotation algorithm, Finite element linear and nonlinear, static and dynamic analysis of structural elements – an addendum – A bibliography (1996‐1999), An energy‐conserving co‐rotational procedure for the dynamics of shell structures

Cites Work

• Unnamed Item
• A three-dimensional finite-strain rod model. II. Computational aspects
• On the dynamics in space of rods undergoing large motions - A geometrically exact approach
• The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
• Dynamics of flexible beams for multibody systems: A computational procedure
• A consistent co-rotational formulation for nonlinear, three-dimensional, beam-elements
• Explicit-implicit staggered procedure for multibody dynamics analysis
• Finite-Element Methods for Nonlinear Elastodynamics Which Conserve Energy
• A three‐dimensional non‐linear Timoshenko beam based on the core‐congruential formulation
• A co‐rotational element/time‐integration strategy for non‐linear dynamics
• A new energy and momentum conserving algorithm for the non‐linear dynamics of shells
• Non‐linear dynamics of three‐dimensional rods: Exact energy and momentum conserving algorithms