Comparative Analysis of the Initial State in Inhomogeneous Rods

One of the important problems in solid mechanics is the analysis of the effect of various types of heterogeneity in material properties and preconditioning (PC) factors, including prestresses and strains, on the dynamic characteristics of a material. In this paper, the effect of various types of preconditioning on the spectrum of acoustic characteristics (eigenfrequencies and frequency response) in rods made of functionally graded composites has been analyzed. Using the Timoshenko model, PC factors such as prestresses, pre-deflection of the rod, and the preconditioning angle of rotation of the rod’s principal axis due to bending have been considered.

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Publication Details

Journal
Vestnik St Petersburg University Mathematics
Published
2025-12-01
DOI
https://doi.org/10.1134/s1063454125700694
Primary Topic
Aquatic and Environmental Studies
Type
article
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article

Comparative Analysis of the Initial State in Inhomogeneous Rods

A. O. Vatulyan, Rostislav D. Nedin
Vestnik St Petersburg University Mathematics
Aquatic and Environmental Studies
article

Comparative Analysis of the Initial State in Inhomogeneous Rods

A. O. Vatulyan, Rostislav D. Nedin
article en

Abstract

One of the important problems in solid mechanics is the analysis of the effect of various types of heterogeneity in material properties and preconditioning (PC) factors, including prestresses and strains, on the dynamic characteristics of a material. In this paper, the effect of various types of preconditioning on the spectrum of acoustic characteristics (eigenfrequencies and frequency response) in rods made of functionally graded composites has been analyzed. Using the Timoshenko model, PC factors such as prestresses, pre-deflection of the rod, and the preconditioning angle of rotation of the rod’s principal axis due to bending have been considered.

Vestnik St Petersburg University MathematicsVol. 58(4)
Southern Federal University (RU), Federal State Budgetary Institution of Science Federal Scientific Center "Vladikavkaz Scientific Center of the Russian Academy of Sciences" (RU)
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Openalex Percentile: Top 100%
Aquatic and Environmental Studies
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