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2023 | OriginalPaper | Buchkapitel

Investigation of the Operation of Foundations in the Form of Shallow Shells on an Elastic Foundation

verfasst von : Alexander Kolesnikov, Leonid Stupishin

Erschienen in: XV International Scientific Conference “INTERAGROMASH 2022”

Verlag: Springer International Publishing

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Abstract

The article deals with the foundations of buildings and structures in the form of shallow shells on an elastic foundation. The derivation of equations is given taking into account the geometric nonlinearity of the work of a thin-walled structure. The technique for solving systems of equations using the Bubnov-Galyorkin method is given. The work of the structure with various ways of fixing the edges is simulated. The elastic foundation is represented as a set of layers with different strength and deformation characteristics that change along the bottom of the foundation. The influence of the characteristics of the elastic foundation, the shape and thickness of the foundation structure on the value of stresses and critical load is investigated. The results of the above studies are given in a dimensionless form and illustrated by graphs, which makes it convenient to use them in engineering calculations. Recommendations are given for adjusting the shape and thickness of the foundation structure in the form of shallow shells to increase their bearing capacity or reduce consumption of materials.

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Literatur
1.
Zurück zum Zitat Sofiyev, A.H., Omurtag, M.H., Schnack, E.: The vibration and stability of orthotropic conical shells with non-homogeneous material properties under a hydrostatic pressure. J. Sound Vib. 319, 963–983 (2009)CrossRef Sofiyev, A.H., Omurtag, M.H., Schnack, E.: The vibration and stability of orthotropic conical shells with non-homogeneous material properties under a hydrostatic pressure. J. Sound Vib. 319, 963–983 (2009)CrossRef
2.
Zurück zum Zitat Jouneghani, F.Z., Dimitri, R., Bacciocchi, M., Tornabene, F.: Free vibration analysis of functionally graded porous doubly-curved shells based on the first-order shear deformation theory. Appl. Sci. 7(12), 1252 (2017)CrossRef Jouneghani, F.Z., Dimitri, R., Bacciocchi, M., Tornabene, F.: Free vibration analysis of functionally graded porous doubly-curved shells based on the first-order shear deformation theory. Appl. Sci. 7(12), 1252 (2017)CrossRef
3.
Zurück zum Zitat Nie, G., Chan, C., Yao, J., He, X.: Asymptotic solution for nonlinear buckling of orthotropic shells on elastic foundation. AIAA J. 47(7), 1772–1783 (2009)CrossRef Nie, G., Chan, C., Yao, J., He, X.: Asymptotic solution for nonlinear buckling of orthotropic shells on elastic foundation. AIAA J. 47(7), 1772–1783 (2009)CrossRef
4.
Zurück zum Zitat Eisenberger, M., Godoy, L.A.: Navier type exact analytical solutions for vibrations of thin-walled shallow shells with rectangular planform. Thin-Walled Struct. 160, 107356 (2021) Eisenberger, M., Godoy, L.A.: Navier type exact analytical solutions for vibrations of thin-walled shallow shells with rectangular planform. Thin-Walled Struct. 160, 107356 (2021)
5.
Zurück zum Zitat Bahrami, S., Shirmohammadi Mohammad, F., Saadatpour, M.: Vibration analysis of thin shallow shells using spectral element method. Appl. Math. Modelling 44, 470–480 (2017)MathSciNetCrossRefMATH Bahrami, S., Shirmohammadi Mohammad, F., Saadatpour, M.: Vibration analysis of thin shallow shells using spectral element method. Appl. Math. Modelling 44, 470–480 (2017)MathSciNetCrossRefMATH
6.
Zurück zum Zitat Eisenberger, M., Godoy, L.A.: Navier type exact analytical solutions for vibrations of thin-walled shallow shells with rectangular planform. Thin-Walled Struct. 160, 107356 (2020) Eisenberger, M., Godoy, L.A.: Navier type exact analytical solutions for vibrations of thin-walled shallow shells with rectangular planform. Thin-Walled Struct. 160, 107356 (2020)
8.
Zurück zum Zitat Dao, H., Nguyen, D., Tran, Q.: Nonlinear vibration of imperfect eccentrically stiffened functionally graded double curved shallow shells resting on elastic foundation using the first order shear deformation theory. Int. J. Mech. Sci. 80, 16–28 (2014)CrossRef Dao, H., Nguyen, D., Tran, Q.: Nonlinear vibration of imperfect eccentrically stiffened functionally graded double curved shallow shells resting on elastic foundation using the first order shear deformation theory. Int. J. Mech. Sci. 80, 16–28 (2014)CrossRef
9.
Zurück zum Zitat Nath, Y., Jain, R.: Non-linear dynamic analysis of shallow spherical shells on elastic foundations. Int. J. Mech. Sci. 25, 409–419 (1983)CrossRefMATH Nath, Y., Jain, R.: Non-linear dynamic analysis of shallow spherical shells on elastic foundations. Int. J. Mech. Sci. 25, 409–419 (1983)CrossRefMATH
10.
Zurück zum Zitat Huang, S., Qiao, P.: A new semi-analytical method for nonlinear stability analysis of stiffened laminated composite doubly-curved shallow shells. Compos. Struct. 251, 112526 (2020)CrossRef Huang, S., Qiao, P.: A new semi-analytical method for nonlinear stability analysis of stiffened laminated composite doubly-curved shallow shells. Compos. Struct. 251, 112526 (2020)CrossRef
11.
Zurück zum Zitat Qin, Z., Shengnan, Z., Xuejia, P., et al.: A unified solution for vibration analysis of laminated functionally graded shallow shells reinforced by graphene with general boundary conditions. Int. J. Mech. Sci. 170, 105341 (2020)CrossRef Qin, Z., Shengnan, Z., Xuejia, P., et al.: A unified solution for vibration analysis of laminated functionally graded shallow shells reinforced by graphene with general boundary conditions. Int. J. Mech. Sci. 170, 105341 (2020)CrossRef
12.
Zurück zum Zitat Quoc Quan, T., Huy Cuong, N., Dinh Duc, N.: Nonlinear buckling and post-buckling of eccentrically oblique stiffened sandwich functionally graded double curved shallow shells. Aerosp. Sci. Technol. 90, 169–180 (2019)CrossRef Quoc Quan, T., Huy Cuong, N., Dinh Duc, N.: Nonlinear buckling and post-buckling of eccentrically oblique stiffened sandwich functionally graded double curved shallow shells. Aerosp. Sci. Technol. 90, 169–180 (2019)CrossRef
13.
Zurück zum Zitat Trushin, S., Zhavoronok, S.: Nonlinear analysis of multilayered composite shells using finite difference energy method. In: Space Structures, vol. 5, pp. 1527–1533 Proceedings of the Fifth International Conference on Space Structures, held at the University of Surrey (2002) Trushin, S., Zhavoronok, S.: Nonlinear analysis of multilayered composite shells using finite difference energy method. In: Space Structures, vol. 5, pp. 1527–1533 Proceedings of the Fifth International Conference on Space Structures, held at the University of Surrey (2002)
14.
Zurück zum Zitat Wang, J., Liang Li, Z., Yu, W.: Structural similitude for the geometric nonlinear buckling of stiffened orthotropic shallow spherical shells by energy approach. Thin-Walled Struct. 138, 430–457 (2019)CrossRef Wang, J., Liang Li, Z., Yu, W.: Structural similitude for the geometric nonlinear buckling of stiffened orthotropic shallow spherical shells by energy approach. Thin-Walled Struct. 138, 430–457 (2019)CrossRef
15.
Zurück zum Zitat Andreev, V.: About one way of optimization of the thick-walled shells. Appl. Mech. Mater. 166–169, 354–358 (2012)CrossRef Andreev, V.: About one way of optimization of the thick-walled shells. Appl. Mech. Mater. 166–169, 354–358 (2012)CrossRef
16.
Zurück zum Zitat Stupishin, L.Y., Kolesnikov, A.G., Nikitin, K.E.: Optimal design of flexible shallow shells on elastic foundation. J. Appl. Eng. Sci. 15(3), 349–353 (2017)CrossRef Stupishin, L.Y., Kolesnikov, A.G., Nikitin, K.E.: Optimal design of flexible shallow shells on elastic foundation. J. Appl. Eng. Sci. 15(3), 349–353 (2017)CrossRef
17.
Zurück zum Zitat Straughan, W.: Analysis of Plates on Elastic Foundations. Texas Tech University, Texas (1980) Straughan, W.: Analysis of Plates on Elastic Foundations. Texas Tech University, Texas (1980)
18.
Zurück zum Zitat Stupishin, L.Y., Kolesnikov, A.G., Nikitin, K.E.: Variable form forming investigation for flexible shallow shells on circular base. Asian J. Civ. Eng. 18(2), 163–171 (2017) Stupishin, L.Y., Kolesnikov, A.G., Nikitin, K.E.: Variable form forming investigation for flexible shallow shells on circular base. Asian J. Civ. Eng. 18(2), 163–171 (2017)
19.
Zurück zum Zitat Stupishin, L., Kolesnikov, A., Tolmacheva, T.: Analysis of flexible layered shallow shells on elastic foundation. IOP Conf. Ser.: Mat. Sci. Eng. 201(1), 012018 (2017) Stupishin, L., Kolesnikov, A., Tolmacheva, T.: Analysis of flexible layered shallow shells on elastic foundation. IOP Conf. Ser.: Mat. Sci. Eng. 201(1), 012018 (2017)
20.
Zurück zum Zitat Kolesnikov, A.G., Stupishin, L.Y., Masalov, N.A.: Program for determining the optimal forms of shallow shells on an elastic foundation by the criterion of the maximum value of the critical load. Certificate of registration of the computer program RU 2017661861 (2017) Kolesnikov, A.G., Stupishin, L.Y., Masalov, N.A.: Program for determining the optimal forms of shallow shells on an elastic foundation by the criterion of the maximum value of the critical load. Certificate of registration of the computer program RU 2017661861 (2017)
Metadaten
Titel
Investigation of the Operation of Foundations in the Form of Shallow Shells on an Elastic Foundation
verfasst von
Alexander Kolesnikov
Leonid Stupishin
Copyright-Jahr
2023
DOI
https://doi.org/10.1007/978-3-031-21432-5_250

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