Oscillations of a string on an elastic foundation with space and time-varying rigidity

DOI10.1007/S11071-016-3261-8zbMath1373.74058OpenAlexW2566213086MaRDI QIDQ1676856

Peng Zhang

Publication date: 10 November 2017

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: http://resolver.tudelft.nl/uuid:eeb1aa9b-39dd-45c8-a7a5-9d64550bc2d4

zbMATH Keywords

thin filmelastic foundationageinglocalized modesslender structuretime-varying rigidity

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Thin films (74K35) Strings (74K05)

Related Items (2)

Recursive formulation of the WKB solution for linear time-varying dynamic systems ⋮ Non-stationary localized oscillations of an infinite string, with time-varying tension, lying on the Winkler foundation with a point elastic inhomogeneity

Cites Work

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• Oscillations of a beam with a time-varying mass
• The solution of contact problems of creep theory for combined ageing foundations
• Damped oscillating systems modeled by hyperbolic differential equations with slowly varying coefficients
• Destruction of thin films with damaged substrate as a result of waves localization
• Two-dimensional dynamical problems for incompressible isotropic linear elastic solids with time dependent moduli and variable density

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