Dynamic symmetry breaking and structure-preserving analysis on the longitudinal wave in an elastic rod with a variable cross-section
DOI10.1007/S10483-022-2809-6zbMath1505.74109OpenAlexW4205680492MaRDI QIDQ2167674
Mengbo Xu, Wei-Peng Hu, Zi-Chen Deng, Jingjing Hu, Ruisong Jiang
Publication date: 25 August 2022
Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10483-022-2809-6
multi-symplectic methodone-dimensional nonlinear wave equationlocal energy dissipationmidpoint difference discrete method
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Nonlinear waves in solid mechanics (74J30) Numerical and other methods in solid mechanics (74S99)
Cites Work
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- Symplectic partitioned Runge-Kutta methods with minimal phase-lag
- Theoretical and experimental analysis of longitudinal wave propagation in cylindrical viscoelastic rods.
- Almost structure-preserving analysis for weakly linear damping nonlinear Schrödinger equation with periodic perturbation
- Symmetry breaking of infinite-dimensional dynamic system
- Vibration and elastic wave propagation in spatial flexible damping panel attached to four special springs
- Generalized multi-symplectic integrators for a class of Hamiltonian nonlinear wave PDEs
- High order symplectic integrators based on continuous-stage Runge-Kutta-Nyström methods
- Multisymplectic structures and the variational bicomplex
- Multisymplectic geometry, covariant Hamiltonians, and water waves
- Calculation of Gauss-Kronrod quadrature rules
- Multi-symplectic structures and wave propagation
- Symplectic Partitioned Runge–Kutta Methods for Constrained Hamiltonian Systems
- Computation of Gauss-Kronrod quadrature rules
- Multisymplectic box schemes for the complex modified Korteweg–de Vries equation
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