Abstract
By solving the boundary-value stress–strain problems for cylindrical shells with an elliptical cross section and a thickness varying along the directrix, the effect of variability in the thickness and load on their deformation is studied. Tables and plots present the deflection and the bending moment calculated under various boundary and loading conditions.
Similar content being viewed by others
REFERENCES
V. Z. Vlasov, General Shell Theory and Its Application in Engineering [in Russian], Gostekhizdat, Moscow-Leningrad (1949).
Ya. M. Grigorenko, "Numerical solution of shell problems," Prikl. Mekh., 20, No.10, 3–22 (1984).
Ya. M. Grigorenko and L. I. Zakhariichenko, "A note on the solution of stress problems for noncircular cylindrical shells of variable thickness," Prikl. Mekh., 34, No. 12, 23–31 (1998).
Ya. M. Grigorenko and N. N. Kryukov, "Solution of problems in the theory of plates and shells using spline functions (review)," Prikl. Mekh., 31, No. 6, 3–26 (1995).
L. H. Donnel, Beams, Plates, and Shells, McGraw-Hill, New York (1976).
Yu. S. Zav'yalov, Yu. I. Kvasov, and V. L. Miroshnichenko, Methods of Spline Functions [in Russian], Nauka, Moscow (1980).
Kh. M. Mushtari, "Some generalizations of the theory of thin shells to elastic equilibrium stability problems," Prikl. Mat. Mekh., 2, No. 14, 439–456 (1939).
V. G. Piskunov and A. A. Rasskazov, "A shear theory of the second order for multilayered shallow shells and plates," Mekh. Komp. Mater., 34, No. 3, 363–370 (1998).
Ya. M. Grigorenko, A. T. Vasilenko, E. I. Bespalova et al., Numerical Solution of Static Problems for Orthotropic Shells with Variable Parameters [in Russian], Naukova Dumka, Kiev (1975).
W. Yi and C. Basavaraju, "Cylindrical shells under partially distributed radial loading," Trans. ASME, J. Press. Vessel Technol., 118, No. 1, 104–108 (1996).
M. Chang and L.-L. Chang, "Analysis of the eccentric cylindrical thin shells," Appl. Math. Mech. Engl. Ed., 15, No. 9, 887–895 (1994).
Ya. M. Grigorenko and Yu. B. Kas'yan, "Analysis of the deformation of a hinged flexible noncircular long cylindrical shell under nonuniform load," Int. Appl. Mech., 37, No. 8, 1028–1033 (2001).
N. P. Semenyuk and N. A. Neskhodovskaya, "Stability of orthotropic corrugated cylindrical shells," Int. Appl. Mech., 37, No. 11, 1447–1457 (2001).
A. T. Vasilenko and O. K. Sudavtsova, "Elastic equilibrium of circumferentially inhomogeneous orthotropic cylindrical shells of arbitrary thickness," Int. Appl. Mech., 37, No. 8, 1046–1054 (2001).
M. Vrabie, M. Ibanesku, and St. Jerca, "Linear finite elements applied to the design of axial-symmetric cylindrical shells," Bull. Inst. Politechn. IASI, Sec. 6, 42, Nos. 1-2, 13–22 (1996).
J. T.-S. Wang and C.-C. Lin, "Stresses in open-ended cylindrical shells," Trans. ASME, J. Appl. Mech., 62, No. 1, 229–230 (1995).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Grigorenko, Y.M., Zakhariichenko, L.I. Study Into the Effect of Circumferential Variation in Thickness and Load on the Deformation of Cylindrical Shells of Elliptic Cross Section. International Applied Mechanics 38, 1229–1236 (2002). https://doi.org/10.1023/A:1022210429672
Issue Date:
DOI: https://doi.org/10.1023/A:1022210429672