The nodal-based floating frame of reference formulation with modal reduction. How to calculate the invariants without a lumped mass approximation

DOI10.1007/S00707-020-02886-2zbMath1476.74066OpenAlexW3116166324MaRDI QIDQ2234130

Andreas Zwölfer, Johannes Gerstmayr

Publication date: 18 October 2021

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-020-02886-2

zbMATH Keywords

mass matrixquadratic velocity vectorflexible slider-crank mechanismmodel reduction basis

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Dynamics of multibody systems (70E55)

Related Items (6)

A semi-analytical approach to sensitivity analysis with flexible multibody dynamics of a morphing forward wing section ⋮ Absolute coordinate formulation and generalized component mode synthesis with rigid body coordinates ⋮ A multinode superelement in the generalized strain formulation ⋮ Global modes for the reduction of flexible multibody systems. Methodology and complexity ⋮ Analytical derivatives of flexible multibody dynamics with the floating frame of reference formulation ⋮ Dynamics of a flexible body: a two-field formulation

Uses Software

• GitHub

Cites Work

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• A concise nodal-based derivation of the floating frame of reference formulation for displacement-based solid finite elements. Avoiding inertia shape integrals
• Preconditioning strategies for linear dependent generalized component modes in 3D flexible multibody dynamics
• A 3D finite element method for flexible multibody systems
• Component mode synthesis with constant mass and stiffness matrices applied to flexible multibody systems
• Improved Component-Mode Representation for Structural Dynamic Analysis
• Co-rotational Formulations for 3D Flexible Multibody Systems: A Nodal-Based Approach
• Dynamics of Multibody Systems
• Coupling of substructures for dynamic analyses.

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