Study of longitudinal oscillations of a five-storey building on the basis of plate continuum model

Yarashov, Javlon; Usarov, M.; Ayubov, G.

doi:10.1051/e3sconf/20199704065

Cited by 16 publications

(6 citation statements)

References 5 publications

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“…In [10], formulas for the reduced density and moduli of elasticity and shear of a plate model of the building are obtained. Mechanical and physical characteristics of the building are defined under the assumption that the building consists of numerous boxes (rooms) with volumes determined by the formula: [10].…”

Section: Statement Of the Problemmentioning

confidence: 99%

“…The studies in [10,11] are devoted to the development of the methods for dynamic spatial calculation of a structure based on the finite difference method in the framework of the bimoment theory, which takes into account the spatial stress-strain state.…”

Section: Introductionmentioning

confidence: 99%

“…There are numerous articles and monographs devoted to the development of the theory of seismic resistance of a building. Various methods for calculating buildings and structures for seismic actions have been developed, taking into account important factors, such as seismic loading, soil conditions of terrain and structural features of buildings [10]. Note that the analysis of the consequences of strong earthquakes has shown the shortcomings of existing methods of calculating buildings and structures for seismic resistance.…”

Section: Introductionmentioning

confidence: 99%

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Continual model and dynamic calculation of buildings under seismic impacts

2020

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Continuum plate model in the form of a cantilever anisotropic plate developed in the framework of the bimoment theory of plates describing seismic oscillations of buildings is proposed in this paper as a dynamic model of a building. Formulas for the reduced moduli of elasticity, shear and density of the plate model of a building are given. Longitudinal oscillations of a building are studied using the continuum plate and box-like models of the building with Finite Element Model. Numerical results are obtained in the form of graphs, followed by their analysis.

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Section: Statement Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Continual model and dynamic calculation of buildings under seismic impacts

2020

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“…The authors of this article have performed several works using the theory of thin plates [6][7][8] and the bimoment theory of thick plates [9][10][11][12][13][14]. Scientific articles [6][7][8] are devoted to improving the box-shaped model of the building structure, considering the contact conditions between the elements of the panel and beams.…”

Section: Introductionmentioning

confidence: 99%

Calculation of compelled fluctuations of panel buildings

2023

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The article discusses the dynamic calculation of the elements of the box structure of buildings under the action of seismic effects, taking into account the spatial work of the box elements, given by the displacement of their lower part according to a sinusoidal law. The equations of motion for each of the plate and beam elements of the box structure of the building are constructed based on the Kirchhoff-Love theory. Expressions for the forces, moments, and stresses of the plate elements, which balance the box elements' displacement, the boundary conditions, and the conditions of full contact through displacements and force factors in the contact zones of the plate and beam elements, are compiled. The general solution to the problem is constructed by decomposing the movement of box elements according to their shapes using the finite difference method. The calculation results are shown in graphs for the height of the box of bending moments, plate elements working in bending, and shear stresses of plate elements.

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“…The studies in [11], [12] develop the methods for dynamic spatial calculation of the structure based on the finite difference method in the framework of the theory of bimoments, taking into account the spatial stress-strain state.…”

Section: Introductionmentioning

confidence: 99%

Calculation methods for plate and beam elements of box-type structure of building

2021

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The article is devoted to the dynamic calculation of the box-type structure of buildings for seismic resistance, taking into account the spatial work of the box elements under the influence of dynamic impact. The development of spatial calculations and the study of vibrations of elements of box-type structures, considering various factors, is an urgent problem of structural mechanics. In this article, a mathematical model and a numerical-analytical method were developed to solve the problem of dynamics using the finite difference method and expand the solution in terms of natural vibration modes in the spatial setting for the elements of box-type structures under the kinematic impact. The steady-state forced vibrations of box-type structures under stationary harmonic influences applied to the structure foundation are investigated, and the areas are identified where the greatest values of shearing forces and bending moments occur under harmonic influences.

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Study of longitudinal oscillations of a five-storey building on the basis of plate continuum model

Cited by 16 publications

References 5 publications

Continual model and dynamic calculation of buildings under seismic impacts

Continual model and dynamic calculation of buildings under seismic impacts

Calculation of compelled fluctuations of panel buildings

Calculation methods for plate and beam elements of box-type structure of building

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