MATHEMATICAL MODELING OF BENDING OSCILLATIONS OF A VERTICAL ROD OF VARIABLE CROSS-SECTION

We consider free and forced flexural vibrations of vertical bars of variable section. A mathematical model, which includes basic differential equation of transverse vibrations and the boundary conditions. For the forced vibrations considered an example showing the effect of dynamic and kinematic disturbances. The dependence of the amplitude and shape of the forced vibrations of a rod from the vicinity of the frequency of disturbances to their own values and the phase shift of the vector components of the disturbances.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-28
DOI
https://doi.org/10.5281/zenodo.23742018
Primary Topic
Vibration and Dynamic Analysis
Type
article
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article

MATHEMATICAL MODELING OF BENDING OSCILLATIONS OF A VERTICAL ROD OF VARIABLE CROSS-SECTION

Vagif SHIRALIYEV, Gunay Zarbaliyeva, Balakhan Aliyev, Hafisli Garagoz et al.
Zenodo (CERN European Organization for Nuclear Research)
Vibration and Dynamic Analysis
article

MATHEMATICAL MODELING OF BENDING OSCILLATIONS OF A VERTICAL ROD OF VARIABLE CROSS-SECTION

Vagif SHIRALIYEV, Gunay Zarbaliyeva, Balakhan Aliyev, Hafisli Garagoz, Mursal Nasirov
article en

Abstract

We consider free and forced flexural vibrations of vertical bars of variable section. A mathematical model, which includes basic differential equation of transverse vibrations and the boundary conditions. For the forced vibrations considered an example showing the effect of dynamic and kinematic disturbances. The dependence of the amplitude and shape of the forced vibrations of a rod from the vicinity of the frequency of disturbances to their own values and the phase shift of the vector components of the disturbances.

Zenodo (CERN European Organization for Nuclear Research)
Baku Engineering University (AZ)
Openalex Percentile: Top 18%
Vibration and Dynamic Analysis
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