A 3D finite element method for flexible multibody systems

DOI10.1007/s11044-006-9009-3zbMath1146.70318OpenAlexW1981441642MaRDI QIDQ2433229

Joachim Schöberl, Johannes Gerstmayr

Publication date: 27 October 2006

Published in: Multibody System Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11044-006-9009-3

zbMATH Keywords

Finite elementsTime-integrationAbsolute coordinate formulationLarge rotation theory

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Dynamics of multibody systems (70E55)

Related Items (27)

Co-rotational Formulations for 3D Flexible Multibody Systems: A Nodal-Based Approach ⋮ On the geometrically exact beam model: a consistent, effective and simple derivation from three-dimensional finite-elasticity ⋮ Nonlinear constraints in the absolute coordinate formulation ⋮ State of the art of ANCF elements regarding geometric description, interpolation strategies, definition of elastic forces, validation and the locking phenomenon in comparison with proposed beam finite elements ⋮ A formal procedure and invariants of a transition from conventional finite elements to the absolute nodal coordinate formulation ⋮ A projection-based approach for the derivation of the floating frame of reference formulation for multibody systems ⋮ Analysis of multibody systems with flexible plates using variational graph-theoretic methods ⋮ Gibbs-Appell method-based governing equations for one-dimensional finite elements used in flexible multibody systems ⋮ Absolute coordinate formulation and generalized component mode synthesis with rigid body coordinates ⋮ Generalized Gibbs-Appell's equations and two-dimensional finite elements model used in flexible multibody analysis ⋮ A new locking-free beam element based on absolute nodal coordinates ⋮ Modeling elastic beams using dynamic splines ⋮ Motion equation for a flexible one-dimensional element used in the dynamical analysis of a multibody system ⋮ Optimization of a complex flexible multibody systems with composite materials ⋮ Composite rigid body formalism for flexible multibody systems ⋮ The nodal-based floating frame of reference formulation with modal reduction. How to calculate the invariants without a lumped mass approximation ⋮ Inertial force term approximations for the use of Global Modal Parameterization for planar mechanisms ⋮ Object-oriented modelling of general flexible multibody systems ⋮ Integration of absolute nodal elements into multibody system ⋮ Modal reduction procedures for flexible multibody dynamics ⋮ A Posteriori Error Estimation in Model Order Reduction of Elastic Multibody Systems with Large Rigid Motion ⋮ A review of flexible multibody dynamics for gradient-based design optimization ⋮ Motion analysis of structures (MAS) for flexible multibody systems: planar motion of solids ⋮ A geometrically exact beam element based on the absolute nodal coordinate formulation ⋮ Preconditioning strategies for linear dependent generalized component modes in 3D flexible multibody dynamics ⋮ A concise nodal-based derivation of the floating frame of reference formulation for displacement-based solid finite elements. Avoiding inertia shape integrals ⋮ Smoothed particle hydrodynamics and modal reduction for efficient fluid–structure interaction

Uses Software

• RODAS
• MBSSIM

Cites Work

• Vibrations of the elasto-plastic pendulum
• Multibody system simulation. Numerical methods, algorithms, and software
• Multibody system dynamics: roots and perspectives
• Conserving properties in constrained dynamics of flexible multibody systems
• The absolute coordinate formulation with elasto-plastic deformations
• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• Flexible multibody systems with large deformations and nonlinear structural damping using absolute nodal coordinates
• Strain tensors in the absolute nodal coordinate and the floating frame of reference formulation
• An excursion into large rotations
• Flexible multibody simulation and choice of shape functions
• Flexible multibody dynamic simulation using optimal lumped inertia matrices
• A 3D Finite Element Solver for Multibody Systems Based on Implicit Runge-Kutta Schemes
• On the Dynamics of Flexible Beams Under Large Overall Motions—The Plane Case: Part I
• Non‐linear transient finite element analysis with convected co‐ordinates
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