Energy-consistent, Galerkin approach for the nonlinear dynamics of beams using intrinsic equations

DOI10.1177/1077546310385777zbMath1271.74115OpenAlexW2128281957MaRDI QIDQ2846382

Mayuresh J. Patil, Matthias Althoff

Publication date: 5 September 2013

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546310385777

zbMATH Keywords

Galerkin methodnonlinear dynamicsbeam theory

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items (9)

Chebyshev collocation method for the free vibration analysis of geometrically exact beams with fully intrinsic formulation ⋮ Simulation of viscoelastic Cosserat rods based on the geometrically exact dynamics of special Euclidean strands ⋮ Analytical solution for arbitrary large deflection of geometrically exact beams using the homotopy analysis method ⋮ Branch switching at Hopf bifurcation analysis via asymptotic numerical method: application to nonlinear free vibrations of rotating beams ⋮ On the geometrically exact low-order modelling of a flexible beam: formulation and numerical tests ⋮ Analysis of nonlinear fully intrinsic equations of geometrically exact beams using generalized differential quadrature method ⋮ Nonlocal fully intrinsic equations for free vibration of Euler-Bernoulli beams with constitutive boundary conditions ⋮ Nonlinear output feedback control of a flexible link using adaptive neural network: stability analysis ⋮ Nonlinear output feedback control of a flexible link using adaptive neural network: controller design

Cites Work

• On the dynamics in space of rods undergoing large motions - A geometrically exact approach
• A mixed variational formulation based on exact intrinsic equations for dynamics of moving beams
• Vibration Modes of Centrifugally Stiffened Beams
• Normal Modes for Non-Linear Vibratory Systems
• Nonlinear modeling of integrally actuated beams

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