On Vibration of Multi-span Continuous Beam in View of Rotational Inertia
The paper deals with oscillation of a multi-span continuous beam in view of the rotational inertia forces. A mathematical model for kinematically excited harmonic vibrations are discussed. The amplitude as a function of displacements for steady-state oscillations are determined on the ground of thre...
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Springer Science and Business Media Deutschland GmbH
2024
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ir-123456789-291822024-10-31T09:37:47Z On Vibration of Multi-span Continuous Beam in View of Rotational Inertia Lafisheva, M. M. Лафишева, М. М. Khamukova, L. A. Хамукова, Л. А. Border conditions Discrete-continuum multi-span beam Forced vibrations Inertial forces Kinematic perturbations Oscillation amplitude Numerical methods Own forms Random process Spectral density Square matrix The paper deals with oscillation of a multi-span continuous beam in view of the rotational inertia forces. A mathematical model for kinematically excited harmonic vibrations are discussed. The amplitude as a function of displacements for steady-state oscillations are determined on the ground of three basic equations. The calculations are performed using a graphical representation of the increasing frequency of disturbances. The calculation results obtained excluding the rotational inertia of concentrated masses are also encompassed in the study. A comparison of the samples shows noticeable decrease in amplitudes with an increase in the frequency perturbations. Next, we consider the effect of the disturbances’ phase shift on beam oscillations. It was revealed that these vibrations most dangerously affect the strength of the beam. When analyzing oscillation of the beam kinematically excited by random disturbances, we found that the root-mean-square deviations significantly depend on the degree of correlation of the components of the random vector. 2024-10-31T09:36:49Z 2024-10-31T09:36:49Z 2024 Статья Lafisheva M.M., Baragunova L.A., Tseeva F.M., Khаmukova L. On Vibration of Multi-span Continuous Beam in View of Rotational Inertia // Lecture Notes in Networks and Systems. - 2024. - 1044 LNNS. - pp. 80 - 92. - DOI: 10.1007/978-3-031-64010-0_9 https://dspace.ncfu.ru/handle/123456789/29182 en Lecture Notes in Networks and Systems application/pdf Springer Science and Business Media Deutschland GmbH |
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СКФУ |
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Репозиторий |
| language |
English |
| topic |
Border conditions Discrete-continuum multi-span beam Forced vibrations Inertial forces Kinematic perturbations Oscillation amplitude Numerical methods Own forms Random process Spectral density Square matrix |
| spellingShingle |
Border conditions Discrete-continuum multi-span beam Forced vibrations Inertial forces Kinematic perturbations Oscillation amplitude Numerical methods Own forms Random process Spectral density Square matrix Lafisheva, M. M. Лафишева, М. М. Khamukova, L. A. Хамукова, Л. А. On Vibration of Multi-span Continuous Beam in View of Rotational Inertia |
| description |
The paper deals with oscillation of a multi-span continuous beam in view of the rotational inertia forces. A mathematical model for kinematically excited harmonic vibrations are discussed. The amplitude as a function of displacements for steady-state oscillations are determined on the ground of three basic equations. The calculations are performed using a graphical representation of the increasing frequency of disturbances. The calculation results obtained excluding the rotational inertia of concentrated masses are also encompassed in the study. A comparison of the samples shows noticeable decrease in amplitudes with an increase in the frequency perturbations. Next, we consider the effect of the disturbances’ phase shift on beam oscillations. It was revealed that these vibrations most dangerously affect the strength of the beam. When analyzing oscillation of the beam kinematically excited by random disturbances, we found that the root-mean-square deviations significantly depend on the degree of correlation of the components of the random vector. |
| format |
Статья |
| author |
Lafisheva, M. M. Лафишева, М. М. Khamukova, L. A. Хамукова, Л. А. |
| author_facet |
Lafisheva, M. M. Лафишева, М. М. Khamukova, L. A. Хамукова, Л. А. |
| author_sort |
Lafisheva, M. M. |
| title |
On Vibration of Multi-span Continuous Beam in View of Rotational Inertia |
| title_short |
On Vibration of Multi-span Continuous Beam in View of Rotational Inertia |
| title_full |
On Vibration of Multi-span Continuous Beam in View of Rotational Inertia |
| title_fullStr |
On Vibration of Multi-span Continuous Beam in View of Rotational Inertia |
| title_full_unstemmed |
On Vibration of Multi-span Continuous Beam in View of Rotational Inertia |
| title_sort |
on vibration of multi-span continuous beam in view of rotational inertia |
| publisher |
Springer Science and Business Media Deutschland GmbH |
| publishDate |
2024 |
| url |
https://dspace.ncfu.ru/handle/123456789/29182 |
| work_keys_str_mv |
AT lafishevamm onvibrationofmultispancontinuousbeaminviewofrotationalinertia AT lafiševamm onvibrationofmultispancontinuousbeaminviewofrotationalinertia AT khamukovala onvibrationofmultispancontinuousbeaminviewofrotationalinertia AT hamukovala onvibrationofmultispancontinuousbeaminviewofrotationalinertia |
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1842245760087752704 |