Application of multilayer finite elements of variable thickness in the calculation of reinforced concrete slabs in the "Prince" computer complex
https://doi.org/10.21822/2073-6185-2020-47-4-112-121
Abstract
Objective. A family of multilayer finite elements designed for calculating reinforced concrete slabs and shells of variable thickness is described. The features of the formation of stiffness matrices associated with the variability of the cross-section of elements are considered.
Methods. The family is based on the simplest planar triangular element constructed using the Kirchhoff hypothesis. The transverse displacements in this element are approximated by an incomplete cubic polynomial. This element is not suitable for practical use, but it is based on improved elements of three- and foursided shape in the plan. Special attention is paid to the consideration of cross-section variability.
Results. The results of testing the developed elements are presented and the advantages of their use in the practice of design and calculation of structures are shown.
Conclusion. The developed PRINCE software package can be useful in the design and calculation of structures containing plates of variable thicknesses.
About the Authors
K. R. Aidemirov
Daghestan State Technical University
Russian Federation
Russian Federation
Kurban R. Aidemirov, Cand. Sci. (Technical), Assoc. Prof., Department of Resistance of Materials, Theoretical and Structural Mechanics
70 Shamil Ave., Makhachkala 367026
V. P. Agapov
National Research Moscow State University of Civil Engineering
Russian Federation
Russian Federation
Vladimir P. Agapov, Dr. Sci., (Technical), Prof., Department of Applied Mechanics and Mathematics
26 Yaroslavl Highway, Moscow 129337
G. M. Murtazaliev
Daghestan State Technical University
Russian Federation
Russian Federation
Gelani M. Murtazaliev, Dr. Sci. (Technical), Prof., Department Resistance of Materials, Theoretical and Construction Mechanics
70 Shamil Ave., Makhachkala 367026
References
1. J.K. Lee, A. W. Leissa, A. J. Wang. J. of Engineering for Gas Turbines and Power, 106, Jan (1084).
2. V.P. Agapov. The analysis of the Turbo-Propeller Aviation Engines Blades by Finite Element Method. NWC 2013. 2013.
3. Konstruktsii zhelezobetonnyye i betonnyye gradiren. Pravila proyektirovaniya. Ministerstvo stroitel'stva i zhilishchno-kommunal'nogo khozyaystva, Svod pravil (Moskva, 2016). [Reinforced concrete and concrete cooling tower structures. Design rules. Ministry of Construction and Housing and Communal Services, Code of Rules (Moscow, 2016) (In Russ)]
4. Sovremennyye prostranstvennyye konstruktsii (zhelezobeton, metall, derevo, plastmassy): Spravochnik / YU. A. Dykhovichnyy, E.Z. Zhukovskiy, V. V. Yermolov i dr.; Pod red. YU. A. Dykhovichnogo, E.Z, Zhukovskogo.M.: Vyssh. shk., 1991.543 s. [Modern spatial structures (reinforced concrete, metal, wood, plastics): Handbook / Yu. A. Dykhovichny, EZ. Zhukovsky, V.V. Ermolov and others; Ed. A. Dykhovichny, E.Z, Zhukovsky), Moscow: Vyssh. shk., 1991.543 p. (In Russ)]
5. SP 52-117-2008. Zhelezobetonnyye prostranstvennyye konstruktsii pokrytiy i perekrytiy. Chast' I. Metody rascheta i konstruirovaniye (Moskva. 2008). [SP 52-117-2008. Reinforced concrete spatial structures of roofs and floors. Part I. Calculation methods and design (Moscow. 2008). (In Russ)]
6. K.A.Basov ANSYS: Spravochnik pol'zovatelya (Moskva: DMK Press, 2005 [K.A.Basov ANSYS: User's Guide (Moscow: DMK Press, 2005. 640p.). (In Russ)]
7. S. Gorodetskiy, I.D. Yevzerov. Komp'yuternyye modeli konstruktsiy (Kiyev: Fakt, 2007). [S. Gorodetsky, I.D. Evzerov. Computer models of structures (Kiev: Fact, 2007). (In Russ)]
8. Karpenko S.N.. Modeli deformirovaniya betona v prirashcheniyakh i metody rascheta konstruktsiy (Dissertatsiya na soiskaniye uchenoy stepeni doktora tekhnicheskikh nauk, Moskva, 2010). [Karpenko S.N. Models of concrete deformation in increments and methods of calculating structures (Dissertation for the degree of Doctor of Technical Sciences, Moscow, 2010). (In Russ)]
9. H.G. Kwak, F.C. Filippou. Finite Element Analysis of Reinforced Concrete Structures Under Monotonic Loads (Department of Civil Engineering University of California Berceley, California, Report NO.UCB / SEMM-90/14, 2004).
10. Agapov V.P. Metod konechnykh elementov v statike, dinamike i ustoychivosti konstruktsiy (Izd-vo ASV, Moskva, 2005 [Agapov V.P. Finite Element Method in Statics, Dynamics and Stability of Structures (ASV Publishing House, Moscow, 2005). (In Russ)]
11. Agapov V.P., Aydemirov K.R. O raschete zhelezobetonnykh plit peremennoy tolshchiny v vychislitel'nom komplekse "PRINS". [Agapov V.P., Aydemirov K.R. On the calculation of reinforced concrete slabs of variable thickness in the "PRINS" computer complex. (In Russ)]
Review
For citations:
Aidemirov K.R., Agapov V.P., Murtazaliev G.M. Application of multilayer finite elements of variable thickness in the calculation of reinforced concrete slabs in the "Prince" computer complex. Herald of Dagestan State Technical University. Technical Sciences. 2020;47(4):112-121. (In Russ.) https://doi.org/10.21822/2073-6185-2020-47-4-112-121
Views:
471
Email this article 
