Stabilization of the dynamic elastica only by damping torque

DOI10.1016/J.NONRWA.2008.10.011zbMath1162.74020OpenAlexW2013131000MaRDI QIDQ1021968

Kazuho Ito

Publication date: 9 June 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.10.011

zbMATH Keywords

Euler-Bernoulli beamnegative feedbackgeometrically nonlinear beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability of dynamical problems in solid mechanics (74H55)

Related Items (3)

Convergence of a spectral Galerkin scheme for the dynamic elastica with periodical or hinged boundary ⋮ An error estimate for an energy conserving spectral scheme approximating the dynamic elastica with free ends ⋮ Stabilizing control of Hopf bifurcation in the Hodgkin-Huxley model via washout filter with linear control term

Cites Work

• Uniform Stabilization of the Dynamic Elastica by Boundary Feedback
• Convergence of a Second-Order Scheme for the Nonlinear Dynamical Equations of Elastic Rods

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