Use of wave phenomena in spatial elastic media for determination of angular motion solid body

In the considered well-known publications of the fundamental theory of wave gyroscopes with respect to a thin ring, cylinder, hemisphere, the effect of inertness of elastic waves has a one-dimensional character: the angular velocity of a body is a scalar characterising the rotation of an elastic solid body around an axis fixed in space. The generalisation of this effect to the spatial case is considered and investigated: an elastic spherically symmetric solid body with a free boundary, on which mass forces act.

Authors

Publication Details

Journal
Прикладная математика и механика / Journal of Applied Mathematics and Mechanics
Published
2025-01-01
DOI
https://doi.org/10.7868/s3034575825030065
Primary Topic
Advanced Scientific Research Methods
Type
article
Field-Weighted Citation Impact
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article

Use of wave phenomena in spatial elastic media for determination of angular motion solid body

S.E. Perelyaev
Прикладная математика и механика / Journal of Applied Mathematics and Mechanics
Advanced Scientific Research Methods
article

Use of wave phenomena in spatial elastic media for determination of angular motion solid body

S.E. Perelyaev
article en

Abstract

In the considered well-known publications of the fundamental theory of wave gyroscopes with respect to a thin ring, cylinder, hemisphere, the effect of inertness of elastic waves has a one-dimensional character: the angular velocity of a body is a scalar characterising the rotation of an elastic solid body around an axis fixed in space. The generalisation of this effect to the spatial case is considered and investigated: an elastic spherically symmetric solid body with a free boundary, on which mass forces act.

Прикладная математика и механика / Journal of Applied Mathematics and MechanicsVol. 89(3)
Openalex Percentile: Top 68%
Advanced Scientific Research Methods
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Use of wave phenomena in spatial elastic media for determination of angular motion solid body — S.E. Perelyaev · Прикладная математика и механика / Journal of Applied Mathematics and Mechanics (2025) | TGRS Research Map | TGRS