Free and forced bending vibrations of a thin plate in a perfect compressible fluid with energy dissipation taken into account

DOI10.1002/zamm.201900102OpenAlexW3003775480MaRDI QIDQ6189984

V. N. Paimushin, Vyacheslav A. Firsov, R. K. Gazizullin, D. V. Tarlakovskii

Publication date: 5 February 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201900102

zbMATH Keywords

energy dissipationplategeneralized Helmholtz equationKelvin-Voigt modelsound transmission losssound pressurefree and forced vibrationsperfect compressible fluidacoustoelasticity problemscomplex oscillation frequencycomplex sound velocity

Mathematics Subject Classification ID

Thin bodies, structures (74Kxx) Mechanics of deformable solids (74-XX) Fluid mechanics (76-XX)

Cites Work

• Nonlinear damping in nonlinear vibrations of rectangular plates: derivation from viscoelasticity and experimental validation
• Analytical analysis for vibration of longitudinally moving plate submerged in infinite liquid domain
• The frequency response of a rectangular cantilever plate vibrating in a viscous fluid
• Forced Vibrations of a System Consisting of a Pre-strainedHighly Elastic Plate under Compressible Viscous FluidLoading
• Nonlinear Vibrations and Stability of Shells and Plates
• Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials
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