Transient longitudinal waves in 2D square lattices with Voigt elements under concentrated loading

Autor: Aleksandrova, Nadezhda I.

The aim of this article is to study the attenuation of transient low-frequency waves in 2D lattices of point masses connected by Voigt elements, under an antiplane concentrated loading. The emphasis is on obtaining analytical estimates for solutions

Externí odkaz: http://arxiv.org/abs/2401.04121

The propagation of transient waves in two-dimensional square lattices

Autor: Aleksandrova, Nadezhda I.

Publikováno v: International Journal of Solids and Structures, 234-235, Paper No. 111194, 18 pp. (2022)

The aim of this article is to study the attenuation of transient low-frequency waves in 2D lattices in both plane and antiplane problems. The main idea of this article is that analytical solutions to problems of mechanics of discrete periodic media c

Externí odkaz: http://arxiv.org/abs/2201.12281

On the asymptotics of integrals arising in the study of the wave motion in lattices

Autor: Aleksandrova, Nadezhda I.

Publikováno v: Contemporary Problems of Mathematics and Mechanics (Sovremennye Problemy Matematiki i Mekhaniki), 6, no. 2 (2011), 86-89. Moscow: Moscow State University. [ISBN: 978-5-211-05652-7]

We present a method for finding the asymptotics of integrals arising in solid mechanics.
Comment: 4 pages; version 2 is an English translation of version 1

Externí odkaz: http://arxiv.org/abs/2009.01662

Influence of soil plug on pipe ramming process

Autor: Aleksandrova, Nadezhda

Publikováno v: Journal of Mining Science, vol. 53, no. 6, pp. 1073-1084 (2017)

Different modes of advance of a pipe with a soil plug under rectangular impulse are investigated numerically and analytically with regard to dry friction between the pipe and plug and between the pipe and external stationary medium. The two model sol

Externí odkaz: http://arxiv.org/abs/1811.03913

Seismic waves in a three-dimensional block medium

Autor: Aleksandrova, Nadezhda

Publikováno v: Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 472, no. 2192, Article ID 20160111, 16 p. (2016)

We study numerically the propagation of seismic waves in a three-dimensional block medium. The medium is modeled by a spatial lattice of masses connected by elastic springs and viscous dampers. We study Lamb's problem under a surface point vertical l

Externí odkaz: http://arxiv.org/abs/1610.01483