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Title: BENDING OF AN ELASTIC ENDLESS PLATE CONSIDERING THE CONTACT WITH AN ELASTIC SUBGRADE
BENDING OF AN ELASTIC ENDLESS PLATE CONSIDERING THE CONTACT WITH AN ELASTIC SUBGRADE

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Katarina Tvrda
10.5593/sgem2023/1.1/s02.24
10.5593/sgem2023/1.1
1314-2704
978-619-7603-56-9
English
23
1
•    Prof. DSc. Oleksandr Trofymchuk, UKRAINE 
•    Prof. Dr. hab. oec. Baiba Rivza, LATVIA
Hydrogeology, Engineering Geology and Geotechnics
In recent decades, we have witnessed an extraordinary progress in tasks related to the problems of the interaction of building structures with the subsoil. The transition from low-rise buildings to high-ones, the design of more subtle structures hand in hand with the full use of building materials, places increasing demands on the methods of foundation of building objects. These tendencies might result in some problems when the issues of the interaction between the upper structure and the subsoil assume a dominant role. It concerns building constructions, industrial, water and road constructions. The problems of the interaction of the upper structure with the subsoil on which the structure is placed are primarily problems of foundation structures and foundations in general. Foundation structures are the connecting element between the superstructure and the subsoil and are supposed to transfer the load of the superstructure to the subsoil without failures. It is obvious that the knowledge of the actual foundation parameters, the appropriate choice of the foundation structure and its dimensions, the calculation of the actual stresses and deformations in the foundation gap leads to a significant economic effect. Solutions for contact tasks have undergone a long development. Winkler was a pioneer in the analysis of bending of plates on an elastic subsoil loaded with concentrated force and a moment. Later, other subsoil models came into use, too. Currently, contact tasks can be solved using FEM. The presented article deals with the bending of a plate of infinite length placed on an elastic foundation. The bending of the plate of infinite length is characterized by a differential equation, while the subsoil is characterized by the integral equation of the displacement of the edge of the half-space. Contact stresses originate at the contact between the plate and the subsoil. The contact stresses of the symmetrically loaded plate strip are assumed in the form of multiples of unknown coefficients and Legendre polynomials of the first kind. The equations have been solved using an indirect method. The effects of the individual function members of the function on the plate strip and on the subsoil are determined separately, thereafter their most suitable combination is calculated from the condition of the equal deformation on the subsoil and on the plate. The effectiveness of the presented procedure is demonstrated on a particular example.
[1] GOLUB, V. K.: Analysis of one-way slabs on elastic subgrade with adhesion (In Russian), Izv. Akad. nauk SSSR OTN, Mechanika i mashinostroenye, No. 5., (1961)
[2] KLUBIN, P. J.: Analysis of one-way and circular plates on elastic subgrade (In Russian), Inzhenenernyi sbornik, vol. XII., Moskva. (1952)
[3] KOLLAR, P., BALAZ, A.: Analysis of plate strips of variable flexural stiffity resting on elastic half-space and with regard to shearing forces in the foundation base - antisymmetrical problem,Stavebnicky casopis SAV, Vol. XXII., No.5, Bratislava. (1974)
[4] Laermann, K.H.: Der elastisch gebettete Balken mit veranderlichem Querschnitt unter Bercksichtigung der Querkraftverformungen, Die Bautechnik 12, 44. (1967)
[5] ZHEMOCHKIN, B. J., SINICYN, A. P.: Applied method of analysis of footing beams and plates on elastic subgrade (In Russian), Gosstrojizdat, Moskva. (1962)
[6] Jendzelovsky, N.: Analyza vozovkovej dosky na pruznom podlozi pri pohyblivom zatazeni. In: Zbornik z konferencie Staticko-konstrukcne a stavebno-fyzikalne problemy stavebnych konstrukcii. Tatranska Lomnica, 2001, pp. 99-104.
[7] Mistrikova, Z.: Creep of the louvre plate on the viscoelastic subgrade. In: International Conference VSU 2007, Sofia, Bulgaria, 2007. Vol. I. pp. I- 104-110
[8] Sumec, J., Hrustinec, L., Kuzma, J.: Aplication of some linear viscoelastic mathematical models in continuum mechanics. In: Proceedings of conference Structural and Physical Aspects of Civil Engineering, Strbske Pleso,2010
[9] Frydrysek, K., Cepica, D., Hrabovsky, L. and Nikodym, Marek.: Experimental and Stochastic Application of an Elastic Foundation in Loose Material Transport via Sandwich Belt Conveyors, Machines 11(3):327, 2023
[10]Klucka, R., Frydrysek, K. and Mahdal, M.: Measuring the deflection of a circular plate on an elastic foundation and comparison with analytical and FE approaches, In Applied mechanics and Materials, 2014, pp. 407–412
[11] KOTRASOVA, Kamila - KORMANIKOVA, Eva - HARABINOVA, Slavka Pressure and stress analysis of liquid-filled cylindrical tank. In: Mathematical Methods in the Applied Sciences. - Hoboken (USA) : John Wiley & Sons Vol. 45, No. 15 (2022), pp. 8819-8834
This paper was supported by VEGA Grant Agency, project No. 1/0453/20, VEGA Grant Agency, project No. 1/0155/23 and KEGA Grant Agency, project No. 030STU-4/2023.
conference
https://doi.org/10.5593/sgem2023/1.1/s02.24
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Proceedings of 23rd International Multidisciplinary Scientific GeoConference SGEM 2023
23rd International Multidisciplinary Scientific GeoConference SGEM 2023, 03 - 09 July, 2023
Proceedings Paper
STEF92 Technology
International Multidisciplinary Scientific GeoConference-SGEM
SWS Scholarly Society; Acad Sci Czech Republ; Latvian Acad Sci; Polish Acad Sci; Russian Acad Sci; Serbian Acad Sci and Arts; Natl Acad Sci Ukraine; Natl Acad Sci Armenia; Sci Council Japan; European Acad Sci, Arts and Letters; Acad Fine Arts Zagreb Croatia; Croatian Acad Sci and Arts; Acad Sci Moldova; Montenegrin Acad Sci and Arts; Georgian Acad Sci; Acad Fine Arts and Design Bratislava; Russian Acad Arts; Turkish Acad Sci.
199-206
03 - 09 July, 2023
website
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FEM, deflection, plate, stress