Mathematical modeling of the operation of plate elements when working together with a soil base in conditions of flat deformation

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Abstract

Assessment of the forces arising in the structures of underground parts of structures, such as piles, foundation slabs and walls, as well as in the structures of the pit fence made of metal sheet piling and using the “wall in the ground” technology is a normative mandatory check for the first group of limit conditions. The work of such structures should be evaluated in conjunction with the soil base, the characteristics of which directly affect the final effort. The article provides a detailed mathematical description of the implementation of a three-node finite element describing a beam (plate in the conditions of a flat problem). At the end, a comparison of the calculation results of the test tasks with another computing software package is provided. High convergence of the results was noted. The results obtained can be used in the development of proprietary finite elements or as alternative calculation methods within the framework of scientific and technical support.

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About the authors

R. A. Mangushev

Saint-Petersburg State University of Architecture and Civil Engineering; Scientific-Research Institute of Building Physics of RAACS

Author for correspondence.
Email: ramangushev@yandex.ru

Doctor of Sciences (Engineering)

Russian Federation, 4, 2nd Krasnoarmeyskaya Street, Saint Petersburg 190005; 21, Lokomotivniy Driveway, Moscow, 127238

I. P. Dyakonov

Saint-Petersburg State University of Architecture and Civil Engineering; Scientific-Research Institute of Building Physics of RAACS

Email: idjkanv@yandex.ru

Candidate of Sciences (Engineering)

Russian Federation, 4, 2nd Krasnoarmeyskaya Street, Saint Petersburg 190005; 21, Lokomotivniy Driveway, Moscow, 127238

V. M. Polunin

Saint-Petersburg State University of Architecture and Civil Engineering; Scientific-Research Institute of Building Physics of RAACS

Email: n1ce2u@yandex.ru

Candidate of Sciences (Engineering)

Russian Federation, 4, 2nd Krasnoarmeyskaya Street, Saint Petersburg 190005; 21, Lokomotivniy Driveway, Moscow, 127238

I. B. Bashmakov

Saint-Petersburg State University of Architecture and Civil Engineering; Scientific-Research Institute of Building Physics of RAACS

Email: 179bib@gmail.com

Postgraduate Student

Russian Federation, 4, 2nd Krasnoarmeyskaya Street, Saint Petersburg 190005; 21, Lokomotivniy Driveway, Moscow, 127238

D. A. Paskacheva

Saint-Petersburg State University of Architecture and Civil Engineering

Email: dashap17012000@yandex.ru

Postgraduate Student

Russian Federation, 4, 2nd Krasnoarmeyskaya Street, Saint Petersburg 190005

References

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Supplementary files

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2. Fig. 1. Basic triangle sixty-nodes finite element

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3. Fig. 2. Calculation scheme to assemble stiffness matrix

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4. Fig. 3. Scheme to calculate defining angle α

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5. Fig. 4. General view of testing schemes

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6. Fig. 5. General view of calculation schemes

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7. Fig. 6. Comparison of calculation results between developed algorithm and software Plaxis 2D

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