Localized oscillations of a spatially periodic and articulated structure

DOI10.1016/J.WAVEMOTI.2007.04.005zbMath1231.74166OpenAlexW2091795105MaRDI QIDQ661582

Nobumasa Sugimoto, Kazuyuki Hamada, Yosuke Watanabe

Publication date: 11 February 2012

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2007.04.005

zbMATH Keywords

holonomic constraintsdiscrete breathersstructural mechanicsintrinsic localized modesconstrained Hamiltonian systemssymplectic Runge-Kutta methodarticulated structuresspatially periodic structures

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (1)

Slow relaxation of kinetic energy of a spring-chain model in solvent

Cites Work

• Moving discrete breathers in nonlinear lattice: resonance and stability
• Flexural wave propagation in a spatially periodic structure of articulated beams
• A parallelizable preconditioner for the iterative solution of implicit Runge-Kutta-type methods
• Structure Preservation for Constrained Dynamics with Super Partitioned Additive Runge--Kutta Methods
• Exponential stability of breathers in Hamiltonian networks of weakly coupled oscillators
• Quasi-Continuum Approximation for Discrete Breathers in Fermi–Pasta–Ulam Atomic Chains
• Symplectic Partitioned Runge–Kutta Methods for Constrained Hamiltonian Systems
• Geometric Numerical Integration
• The Fermi–Pasta–Ulam problem: Fifty years of progress
• Dissipative discrete breathers: Periodic, quasiperiodic, chaotic, and mobile

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