Almost periodic motion of a string vibrating against a straight fixed obstacle

DOI10.1016/0362-546X(83)90076-7zbMath0518.73053OpenAlexW2032628377MaRDI QIDQ3668052

Alain Haraux, Henri Cabannes

Publication date: 1983

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(83)90076-7

zbMATH Keywords

free oscillationsalmost periodic motionstrongly almost periodic solutiongenerally not exactly periodic in tnon-harmonic Fourier series of displacementstring vibrating against straight fixed obstacle

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Strings (74K05)

Related Items (4)

Presentation of software for movies of vibrating strings with obstacles ⋮ Motion of a vibrating string in the presence of a convex obstacle: A free boundary problem ⋮ Nonlinear effects in the wave equation with a cubic restoring force ⋮ Periodic motions of a string vibrating against a fixed point‐mass obstacle: II

Cites Work

• Mouvements périodiques d'une corde vibrante en presence d'un obstacle rectiligne
• Mouvements presque-périodiques d'une corde vibrante en presence d'un obstacle fixe, rectiligne ou ponctuel
• A hyperbolic problem of second order with unilateral constraints: The vibrating string with a concave obstacle
• New Results on the Vibrating String with a Continuous Obstacle
• A NEW APPROACH TO ALMOST PERIODICITY
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