Dynamic response of a viscoelastic plate impacted by an elastic rod

DOI10.1177/1077546314563131zbMath1365.74132OpenAlexW2326710870MaRDI QIDQ5270806

Mv Shitikova, Yury A. Rossikhin

Publication date: 3 July 2017

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546314563131

zbMATH Keywords

low-velocity impactray methodfractional derivativeviscoelastic plateshock interactionstandard linear solid modelRabotnov fractional operator

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Plates (74K20) Fractional derivatives and integrals (26A33) Impact in solid mechanics (74M20)

Related Items (6)

Partition method and experimental validation for impact dynamics of flexible multibody system ⋮ Book review of: J. Paneva-Konovska, From Bessel to multi-index Mittag-Leffler functions. Enumerable families, series in them and convergence. ⋮ On the behavior of a three-dimensional fractional viscoelastic constitutive model ⋮ Subordination in a class of generalized time-fractional diffusion-wave equations ⋮ Determination of order in linear fractional differential equations ⋮ Finite difference method for two-dimensional nonlinear time-fractional subdiffusion equation

Cites Work

• Two approaches for studying the impact response of viscoelastic engineering systems: an overview
• A ray method of solving problems connected with a shock interaction
• The ray method for solving boundary problems of wave dynamics for bodies having curvilinear anisotropy
• Dynamic Response of a Pre-Stressed Transversely Isotropic Plate to Impact by an Elastic Rod
• Some pioneers of the applications of fractional calculus

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