Supercritical nonlinear transverse vibration of a hyperelastic beam under harmonic axial loading
DOI10.1016/j.cnsns.2022.106536zbMath1491.74044OpenAlexW4224949891MaRDI QIDQ2672880
Publication date: 13 June 2022
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2022.106536
asymptotic methodRunge-Kutta methodbifurcation diagramharmonic balance methodPoincaré sectionamplitude-frequency responsehyperelastic buckled beamphase-plane portrait
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Finite difference methods applied to problems in solid mechanics (74S20) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)
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