Work

Low-frequency vibrations of a high-contrast orthotropic lattice

Year: 2025

Type: article

Abstract: 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 parameters are assumed to be of the order of unity. In reality, this is a multi-parameter problem, and the play of parameters often makes it possible to single out non-trivial limit systems. In particular, for high-contrast composite and layered structures, low-frequency regime, in which stiffer components do not prevent wave propagation across the thickness of weaker ones, has been revealed, in addition to the more traditional global low-frequency regime. This paper is devoted to the investigation of the existence of such regimes for a high-contrast plane orthotropic lattice. The ratios of masses and stiffness's of springs are analysed, under which the existence of in-phase and anti-phase modes of vibrations in the same frequency range is possible.

Source: Mechanics Research Communications

DOI: 10.1016/j.mechrescom.2025.104386

Authors: Igor V. Andrianov, Vladyslav V. Danishevskyy, Julius Kaplunov

Institutions: RWTH Aachen University, Prydniprovs’ka State Academy of Civil Engineering and Architecture, Ukrainian State University of Science and Technologies, Ton Duc Thang University, Keele University

Language: English

Topic: Acoustic Wave Phenomena Research

Subfield: Biomedical Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,580

Funders: Ministry of Education and Science of the Republic of Kazakhstan, Horizon 2020 Framework Programme