Calculation of Displacements of Plate Elements of Box-Shape Structure of Buildings.

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Title: Calculation of Displacements of Plate Elements of Box-Shape Structure of Buildings.
Authors: Mamatisaev, G.1 (AUTHOR) gmamatisaev@gmail.com, Tohirov, I.1 (AUTHOR)
Source: Latvian Journal of Physics & Technical Sciences. Jun2026, Vol. 63 Issue 3, p79-89. 11p.
Subjects: Displacement (Mechanics), Structural plates, Resonance, Seismic response, Structural components, Ground motion, Building design & construction, Finite difference method
Abstract: The article investigates the dynamic behaviour of a box-shaped building structure subjected to seismic excitation modelled as a sinusoidal base displacement. The structure is represented as a spatial system of interconnected plate and beam elements, accounting for bending, shear, and torsional effects. The problem is solved numerically using the finite difference method. Calculations are performed for three dimensionless excitation frequencies β₁ = 16, β₂ = 17, and β₃ = 17.5, with a base displacement amplitude of A₀ = 0.02 m. Material properties are taken as Eb = 20000 MPa and Ec = 7500 MPa, with geometric parameters a = 3.5 m, b = 5 m, and hc = 0.2 m. Results show that as the excitation frequency approaches the natural frequency (β ≈ 17.5), resonance leads to a significant increase in displacements. Maximum dimensionless deflections (W/A₀) occur in the upper regions of bending panels and are notably higher near openings compared to solid sections. The presence of openings increases displacement values, particularly along their edges, while beam and plate elements exhibit consistent deformation patterns. [ABSTRACT FROM AUTHOR]
Copyright of Latvian Journal of Physics & Technical Sciences is the property of Paradigm Publishing Services and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Calculation of Displacements of Plate Elements of Box-Shape Structure of Buildings.
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  Data: <searchLink fieldCode="AR" term="%22Mamatisaev%2C+G%2E%22">Mamatisaev, G.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> gmamatisaev@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Tohirov%2C+I%2E%22">Tohirov, I.</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Latvian+Journal+of+Physics+%26+Technical+Sciences%22">Latvian Journal of Physics & Technical Sciences</searchLink>. Jun2026, Vol. 63 Issue 3, p79-89. 11p.
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  Data: <searchLink fieldCode="DE" term="%22Displacement+%28Mechanics%29%22">Displacement (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Structural+plates%22">Structural plates</searchLink><br /><searchLink fieldCode="DE" term="%22Resonance%22">Resonance</searchLink><br /><searchLink fieldCode="DE" term="%22Seismic+response%22">Seismic response</searchLink><br /><searchLink fieldCode="DE" term="%22Structural+components%22">Structural components</searchLink><br /><searchLink fieldCode="DE" term="%22Ground+motion%22">Ground motion</searchLink><br /><searchLink fieldCode="DE" term="%22Building+design+%26+construction%22">Building design & construction</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+difference+method%22">Finite difference method</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The article investigates the dynamic behaviour of a box-shaped building structure subjected to seismic excitation modelled as a sinusoidal base displacement. The structure is represented as a spatial system of interconnected plate and beam elements, accounting for bending, shear, and torsional effects. The problem is solved numerically using the finite difference method. Calculations are performed for three dimensionless excitation frequencies β₁ = 16, β₂ = 17, and β₃ = 17.5, with a base displacement amplitude of A₀ = 0.02 m. Material properties are taken as Eb = 20000 MPa and Ec = 7500 MPa, with geometric parameters a = 3.5 m, b = 5 m, and hc = 0.2 m. Results show that as the excitation frequency approaches the natural frequency (β ≈ 17.5), resonance leads to a significant increase in displacements. Maximum dimensionless deflections (W/A₀) occur in the upper regions of bending panels and are notably higher near openings compared to solid sections. The presence of openings increases displacement values, particularly along their edges, while beam and plate elements exhibit consistent deformation patterns. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Latvian Journal of Physics & Technical Sciences is the property of Paradigm Publishing Services and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.2478/lpts-2026-0022
    Languages:
      – Code: eng
        Text: English
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        PageCount: 11
        StartPage: 79
    Subjects:
      – SubjectFull: Displacement (Mechanics)
        Type: general
      – SubjectFull: Structural plates
        Type: general
      – SubjectFull: Resonance
        Type: general
      – SubjectFull: Seismic response
        Type: general
      – SubjectFull: Structural components
        Type: general
      – SubjectFull: Ground motion
        Type: general
      – SubjectFull: Building design & construction
        Type: general
      – SubjectFull: Finite difference method
        Type: general
    Titles:
      – TitleFull: Calculation of Displacements of Plate Elements of Box-Shape Structure of Buildings.
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            NameFull: Mamatisaev, G.
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            NameFull: Tohirov, I.
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            – D: 01
              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
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            – TitleFull: Latvian Journal of Physics & Technical Sciences
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