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...

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Main Authors: Usarov Makhamatali, Mamatisaev Giyosiddin, Ayubov Gayratjon
Format: Article
Language:English
Published: Peter the Great St. Petersburg Polytechnic University 2022-10-01
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.
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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/
work_keys_str_mv AT usarovmakhamatali forcedvibrationsofaboxelementofamultistorybuildingunderdynamicimpact
AT mamatisaevgiyosiddin forcedvibrationsofaboxelementofamultistorybuildingunderdynamicimpact
AT ayubovgayratjon forcedvibrationsofaboxelementofamultistorybuildingunderdynamicimpact