Abstract
This paper describes a study of the dynamic strength characteristic—the natural vibration frequency of a retaining wall comprised of two orthotropic cylindrical shells reinforced by discretely distributed annular rods. The problem is solved using the Hamilton-Ostrogradsky variational principle. A frequency equation is constructed, its roots are determined, and their dependence on the physical and geometric parameters of the problem is investigated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
V. Z. Vlasov, Selected Publications (Izd. Akad. Nauk SSSR, Moscow, 1962–1964) [in Russian].
E. K. Agakhanov and A. I. Akaev, “Analysis of a Triangular Retaining Wall,” Transp. Stroit., No. 4, 14–15 (2010).
N. M. Snitko, Static and Dynamic Pressure of Soils and Analysis of Retaining Walls (Gosstroiizdat, Moscow, 1963) [in Russian].
L. M. Emel’yanov, “Analysis of Parallel Connections,” Gidrotekh. Meliorats., No. 12, 105–112 (1955).
Kh. R. Seifullaev, “Calculation of Shallow Shells with a Large Rectangular Hole, Open to an Elastic Contour,” Izv. Vyssh. Uchebn. Zaved., Stroit. Arkhitekt., No. 4, 60–66 (1978).
Kh. R. Seifullaev, “A Method for Investigating the Bearing Ability of Shallow Shells with Large Deflections,” Sb. Nauch. Tr. Mekh., No. 4, 4–7 (1994).
Kh. R. Seifullaev, “A Method for Solving the Boundary-Value Problems of Nonshallow Shells,” Izv. Vyssh. Uchebn. Zaved., Stroit. Arkhitekt., No. 7, 56–61 (1975).
Kh. R. Seifullaev and N. A. Azimov, “Solution of the Equations of the Theory of Shallow Shells of Varying Thickness and Curvature Under Arbitrary Boundary Conditions,” Prikl. Mekh. 16(10), 47–53 (1980).
Kh. R. Seifullaev and E. A. Guseinli, “Calculation of Shallow Stiffened Shells on the Basis of a Model of Structural Orthotropic Systems,” Sb. Nauch. Tr. Mekh., No. 7, Part 1, 112–116 (1997).
Ravikiran Kadoli and N. Yu. Ganesan, “Analysis of the Stability and Free Vibrations of Functional-Gradient Cylindrical Shells Under the Action of Temperature,” Zvuk Vibr. 289(3), 450–480 (2006).
D. S. Ganiev, “Application and Calculations of Cylindrical Shells in Retaining Walls,” Teor. Prikl. Mekh., No. 2, 7–10 (2006).
D. S. Ganiev, “Studies of Lightweight Retaining Walls Under Plane Deformation,” Teor. Prikl. Mekh., No. 1, 43–47 (2013).
D. S. Ganiev, “Solving the Problem of Retaining Walls Comprised of Cylindrical Shells Lying on an Elastic Foundation,” Teor. Prikl. Mekh., No. 1, 103–107 (2007).
I. Ya. Amiro, V. A. Zarutskii, and P. S. Polyakov, Stiffened Cylindrical Shells (Naukova Dumka, Kiev, 1973) [in Russian].
S. M. Bosiakov and W. Zhiwei, “Free Vibration Analysis of Cylindrical Shell from Fiberglass with Navier Boundary Conditions,” Mekh. Mashin, Mekhaniz. Mater., No. 3, 24–27 (2011).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © F.S. Latifov, D.S. Ganiev.
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 60, No. 5, pp. 161–167, September–October, 2019.
Rights and permissions
About this article
Cite this article
Latifov, F.S., Ganiev, D.S. Free Vibrations of Retaining Walls Comprised of Reinforced Orthotropic Cylindrical Shells in Contact with Soil. J Appl Mech Tech Phy 60, 920–925 (2019). https://doi.org/10.1134/S002189441905016X
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S002189441905016X