Outputs (4)

Interfacial Wave on a Composite Membrane Resting on a Winkler Foundation (2025)
Book Chapter
Wootton, P., Prikazchikov, D., & Kaplunov, J. (2025). Interfacial Wave on a Composite Membrane Resting on a Winkler Foundation. In Dynamics of Discrete and Continuum Structures and Media (679-688). Springer Nature [academic journals on nature.com]. https://doi.org/10.1007/978-3-031-75626-9_35

Time-harmonic interfacial waves on a composite elastic membrane supported by a weak Winkler foundation are studied. The membrane is comprised of two identical semi-infinite parts connected by a narrow strip having distinct material properties. The as... Read More about Interfacial Wave on a Composite Membrane Resting on a Winkler Foundation.

The Effect of the Boundary Conditions on Free Vibrations of a String Resting on a Winkler Foundation (2025)
Book Chapter
Dykes, M., Kaplunov, J., & Prikazchikov, D. (2025). The Effect of the Boundary Conditions on Free Vibrations of a String Resting on a Winkler Foundation. In Current Developments in Solid Mechanics and Their Applications (119-128). (1). Springer Nature [academic journals on nature.com]. https://doi.org/10.1007/978-3-031-90022-8_8

The Sturm-Liouville boundary value problem modelling free vibrations of a string resting on a Winkler foundation is studied. The string is assumed to be supported by springs attached to its ends. Along with the conventional elastic springs, those wit... Read More about The Effect of the Boundary Conditions on Free Vibrations of a String Resting on a Winkler Foundation.

On the approximate schemes for the evaluation of the acoustic radiation by a thin elastic layer (2025)
Journal Article
Kaplunov, J., Prikazchikova, L., & Shamsi, S. (in press). On the approximate schemes for the evaluation of the acoustic radiation by a thin elastic layer. Continuum Mechanics and Thermodynamics, 37, 1-14. https://doi.org/10.1007/s00161-025-01365-0

A plane strain problem for forced time-harmonic vibrations of an elastic layer lying on an acoustic half-space is considered. The validity of the approximate formulation involving the classical Kirchhoff theory for plate bending as well as its shorte... Read More about On the approximate schemes for the evaluation of the acoustic radiation by a thin elastic layer.

Low-Frequency Vibrations of a High-Contrast Orthotropic Lattice (2025)
Working Paper
Andrianov, I., Danishevskyy, V., & Kaplunov, J. Low-Frequency Vibrations of a High-Contrast Orthotropic Lattice

The study of long-wave propagation in lattices or in composite and layered structures is usually carried out using a single small parameter characterising the ratio of the wavelength to some characteristic size. Ratios of rigidity or density paramete... Read More about Low-Frequency Vibrations of a High-Contrast Orthotropic Lattice.