Forced vibrations of a box element of a multi-story building under dynamic impact
The article is devoted to the dynamic calculations of the elements of the box-shaped structure of buildings for seismic resistance, taking into account the spatial work of the elements of the box under the action of dynamic influences set by the movement of their lower part according to the sinusoid...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Peter the Great St. Petersburg Polytechnic University
2022-10-01
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Series: | Magazine of Civil Engineering |
Subjects: | |
Online Access: | http://engstroy.spbstu.ru/article/2022.114.06/ |
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author | Usarov Makhamatali Mamatisaev Giyosiddin Ayubov Gayratjon |
author_facet | Usarov Makhamatali Mamatisaev Giyosiddin Ayubov Gayratjon |
author_sort | Usarov Makhamatali |
collection | DOAJ |
description | The article is devoted to the dynamic calculations of the elements of the box-shaped structure of buildings for seismic resistance, taking into account the spatial work of the elements of the box under the action of dynamic influences set by the movement of their lower part according to the sinusoidal law. The equations of motion are given for each of the plate and beam elements of the box-shaped structure of the building on the basis of the Kirchhoff-Love theory. Expressions are given for the forces, moments and stresses of the plate elements that equalize the movement of the box elements, and the boundary conditions, as well as the conditions for full contact in terms of displacements and force factors in the contact zones of plate and beam elements. The general solution of the problem is constructed by the method of decomposition of the movement of the elements of the box according to their own forms using the method of finite differences. The calculation results were obtained in the form of diagrams over the height of the box of bending moments, plate elements working in bending, as well as shear stresses of plate elements. |
first_indexed | 2024-04-11T09:25:47Z |
format | Article |
id | doaj.art-7af64b695fd34e41b59e1888144405f2 |
institution | Directory Open Access Journal |
issn | 2712-8172 |
language | English |
last_indexed | 2024-04-11T09:25:47Z |
publishDate | 2022-10-01 |
publisher | Peter the Great St. Petersburg Polytechnic University |
record_format | Article |
series | Magazine of Civil Engineering |
spelling | doaj.art-7af64b695fd34e41b59e1888144405f22022-12-22T04:32:02ZengPeter the Great St. Petersburg Polytechnic UniversityMagazine of Civil Engineering2712-81722022-10-011140610.34910/MCE.114.620714726Forced vibrations of a box element of a multi-story building under dynamic impactUsarov Makhamatali0Mamatisaev Giyosiddin1Ayubov Gayratjon2Institute of Mechanics and Seysmic Stability of StructuresFergana polytechnic instituteInstitute of Seismic Stability of Structures AS RUzThe article is devoted to the dynamic calculations of the elements of the box-shaped structure of buildings for seismic resistance, taking into account the spatial work of the elements of the box under the action of dynamic influences set by the movement of their lower part according to the sinusoidal law. The equations of motion are given for each of the plate and beam elements of the box-shaped structure of the building on the basis of the Kirchhoff-Love theory. Expressions are given for the forces, moments and stresses of the plate elements that equalize the movement of the box elements, and the boundary conditions, as well as the conditions for full contact in terms of displacements and force factors in the contact zones of plate and beam elements. The general solution of the problem is constructed by the method of decomposition of the movement of the elements of the box according to their own forms using the method of finite differences. The calculation results were obtained in the form of diagrams over the height of the box of bending moments, plate elements working in bending, as well as shear stresses of plate elements.http://engstroy.spbstu.ru/article/2022.114.06/buildingsbox- like structuredynamic calculationdisplacementstressdeformationequation of motionboundary conditionscontact conditions |
spellingShingle | Usarov Makhamatali Mamatisaev Giyosiddin Ayubov Gayratjon Forced vibrations of a box element of a multi-story building under dynamic impact Magazine of Civil Engineering buildings box- like structure dynamic calculation displacement stress deformation equation of motion boundary conditions contact conditions |
title | Forced vibrations of a box element of a multi-story building under dynamic impact |
title_full | Forced vibrations of a box element of a multi-story building under dynamic impact |
title_fullStr | Forced vibrations of a box element of a multi-story building under dynamic impact |
title_full_unstemmed | Forced vibrations of a box element of a multi-story building under dynamic impact |
title_short | Forced vibrations of a box element of a multi-story building under dynamic impact |
title_sort | forced vibrations of a box element of a multi story building under dynamic impact |
topic | buildings box- like structure dynamic calculation displacement stress deformation equation of motion boundary conditions contact conditions |
url | http://engstroy.spbstu.ru/article/2022.114.06/ |
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