Abstract
An approach is developed to solve the stress-strain problem for noncircular cylindrical shells with complex cross section in the form of connected convex half-corrugations. Numerical results are presented
Similar content being viewed by others
References
V. Z. Vlasov, General Theory of Shells and Its Application in Technology [in Russian], Gostekhizdat, Moscow-Leningrad (1949).
Ya. M. Grigorenko, Yu. N. Shevchenko, A. T. Vasilenko, et al., Numerical Methods, Vol. 11 of the 12-volume series Mechanics of Composite Materials [in Russian], A.S.K., Kiev (2002).
L. H. Donnell, 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 with application to elastic equilibrium stability problems,” Prikl. Mat. Mekh., 2, No. 14, 439–456 (1939).
Ya. M. Grigorenko and L. S. Rozhok, “Solving the stress problem for hollow cylinders with corrugated elliptical cross section,” Int. Appl. Mech., 40, No. 2, 169–175 (2004).
Ya. M. Grigorenko and L. I. Zakhariichenko, “Studying the effect of the spatial frequency and amplitude of corrugation on the stress-strain state of cylindrical shells,” Int. Appl. Mech., 39, No. 12, 1429–1435 (2003).
Ya. M. Grigorenko and L. I. Zakhariichenko, “Stress-strain analysis of elliptic cylindrical shells under local loads,” Int. Appl. Mech., 40, No. 10, 1157–1163 (2004).
Ya. M. Grigorenko and S. N. Yaremchenko, “Influence of variable thickness on displacements and stresses in nonthin cylindrical orthotropic shells with elliptic cross-section,” Int. Appl. Mech., 40, No. 8, 900–907 (2004).
Ya. M. Grigorenko and S. N. Yaremchenko, “Refined design of corrugated noncircular cylindrical shells,” Int. Appl. Mech., 41, No. 1, 7–13 (2005).
V. G. Piskunov and A. O. Rasskasov, “Evolution of the theory of laminated plates and shells,” Int. Appl. Mech., 38, No. 2, 135–166 (2002).
N. D. Semenyuk, “Stability of axially compressed noncircular cylindrical shells consisting of panels of constant curvature,” Int. Appl. Mech., 39, No. 6, 726–735 (2003).
K. P. Soldatos, “Mechanics of cylindrical shells with non-circular cross-section. A survey,” Appl. Mech. Rev., 52, No. 8, 237–274 (1999).
Author information
Authors and Affiliations
Additional information
__________
Translated from Prikladnaya Mekhanika, Vol. 42, No. 4, pp. 73–82, April 2006.
Rights and permissions
About this article
Cite this article
Grigorenko, Y.M., Grigorenko, A.Y. & Zakhariichenko, L.I. Stress analysis of noncircular cylindrical shells with cross section in the form of connected convex half-corrugations. Int Appl Mech 42, 431–438 (2006). https://doi.org/10.1007/s10778-006-0099-7
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10778-006-0099-7