Nonlinear dynamics of elastic rods using the Cosserat theory: modelling and simulation
From MaRDI portal
Publication:833895
DOI10.1016/j.ijsolstr.2007.08.016zbMath1167.74467OpenAlexW2065009170MaRDI QIDQ833895
Publication date: 14 August 2009
Published in: International Journal of Solids and Structures (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2007.08.016
Related Items (18)
Non-classical continuum theory for solids incorporating internal rotations and rotations of Cosserat theories ⋮ Optimal design of vascular stents using a network of 1D slender curved rods ⋮ On nonlinear evolution equation of second order in Banach spaces ⋮ On a planar theory of a discrete nonlinearly elastic rod ⋮ A Dimension-Reduction Based Coupled Model of Mesh-Reinforced Shells ⋮ A monolithic optimal control method for displacement tracking of Cosserat rod with application to reconstruction of \textit{C. elegans} locomotion ⋮ An energy-momentum method for in-plane geometrically exact Euler-Bernoulli beam dynamics ⋮ Geometric optimization of vascular stents modeled as networks of 1D rods ⋮ Model of a micromechanical mode-localized accelerometer with an initially curved microbeam as a sensitive element ⋮ Stability analysis of helical rod based on exact Cosserat model ⋮ Ordered rate constitutive theories for non-classical thermoviscoelastic solids with memory incorporating internal and Cosserat rotations ⋮ Modeling and discretization methods for the numerical simulation of elastic frame structures ⋮ Unnamed Item ⋮ On a nonlinear theory of thin rods ⋮ Discrete is it enough? The revival of Piola-Hencky keynotes to analyze three-dimensional \textit{Elastica} ⋮ Ordered rate constitutive theories for thermoviscoelastic solids without memory incorporating internal and Cosserat rotations ⋮ Necessity of law of balance of moment of moments in non-classical continuum theories for solid continua ⋮ On the General Analytical Solution of the Kinematic Cosserat Equations
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- A geometrically-exact rod model incorporating shear and torsion-warping deformation
- Parametric response of cantilever Timoshenko beams with tip mass under harmonic support motion
- Non-linear dynamics of a slender beam carrying a lumped mass with principal parametric and internal resonances
- On the dynamics in space of rods undergoing large motions - A geometrically exact approach
- Nonlinear flexural-flexural-torsional-extensional dynamics of beams. I: Formulation
- Nonlinear flexural-flexural-torsional-extensional dynamics of beams. II: Response analysis
- Parametric vibrations of a horizontal beam with a concentrated mass at one end
- Dynamics of geometrically-exact sandwich beams/1-D plates: Computational aspects
- The dynamics of Cosserat nets
- Dynamics of sliding geometrically-exact beams: Large angle maneuver and parametric resonance
- Three-dimensional nonlinear dynamics of slender structures: Cosserat rod element approach
- Dimension reduction of dynamical systems: methods, models, applications
- Advanced proper orthogonal decomposition tools: Using reduced order models to identify normal modes of vibration and slow invariant manifolds in the dynamics of planar nonlinear rods
- Vibrations of a mass-loaded clamped-free Timoshenko beam
- The Effect of Rotatory Inertia and of Shear Deformation on the Frequency and Normal Mode Equations of Uniform Beams With Simple End Conditions
- Coupled bending and twisting of a timoshenko beam
- The effect of rotary inertia and shear deformation on the frequency and normal mode equations of uniform beams carrying a concentrated mass
- The complicated dynamics of heavy rigid bodies attached to deformable rods
- Galerkin Projection for Geometrically Exact Sandwich Beams Allowing for Ply Drop-off
- Dynamic Formulation for Geometrically Exact Sandwich Beams and One-Dimensional Plates
- Nonlinear problems of elasticity
- Numerical solution procedures for nonlinear elastic rods using the theory of a Cosserat point
- Cosserat theories: Shells, rods and points
This page was built for publication: Nonlinear dynamics of elastic rods using the Cosserat theory: modelling and simulation