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International Scientific Siberian Transport Forum TransSiberia - 2021Calculation of a Spatial Model of a Box-Type Structure in the LIRA Design System Using the Finite Difference Method

International Scientific Siberian Transport Forum TransSiberia - 2021: Calculation of a Spatial... [An analytical-numerical method is proposed for solving the problem of vibrations of a box-shaped structure of a building, taking into account spatial deformations with full contact conditions in the zone of joints of its plate and beam elements. It is believed that the lower part of the box under dynamic action moves according to a given 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. Diagrams of horizontal displacements of the elements of the box were constructed and the effects of taking into account the window opening of the bending panel of the box were estimated. Paper presents a theoretical calculation of the box-type structure of large-panel buildings for seismic resistance, taking into account the spatial work of the box elements under dynamic influences, given by the foundation displacement in the sinusoidal law. The problem is solved using the Finite Difference Method (FDM). The numerical results of the displacement of plate elements of the building box are obtained and compared with the results obtained using the LIRA Design System (DS).] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

International Scientific Siberian Transport Forum TransSiberia - 2021Calculation of a Spatial Model of a Box-Type Structure in the LIRA Design System Using the Finite Difference Method

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Publisher
Springer International Publishing
Copyright
© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
ISBN
978-3-030-96382-8
Pages
1267–1275
DOI
10.1007/978-3-030-96383-5_141
Publisher site
See Chapter on Publisher Site

Abstract

[An analytical-numerical method is proposed for solving the problem of vibrations of a box-shaped structure of a building, taking into account spatial deformations with full contact conditions in the zone of joints of its plate and beam elements. It is believed that the lower part of the box under dynamic action moves according to a given 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. Diagrams of horizontal displacements of the elements of the box were constructed and the effects of taking into account the window opening of the bending panel of the box were estimated. Paper presents a theoretical calculation of the box-type structure of large-panel buildings for seismic resistance, taking into account the spatial work of the box elements under dynamic influences, given by the foundation displacement in the sinusoidal law. The problem is solved using the Finite Difference Method (FDM). The numerical results of the displacement of plate elements of the building box are obtained and compared with the results obtained using the LIRA Design System (DS).]

Published: Mar 18, 2022

Keywords: Plate and beam elements; Dynamics; Buildings box structure; Shear forces; Bending moments

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