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
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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
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