Abstract
The stress problem for corrugated hollow cylinders is solved in a three-dimensional formulation. Use is made of end conditions that make the problem two-dimensional. By applying discrete Fourier series, the problem is made one-dimensional and then is solved by the stable numerical method of discrete orthogonalization. The stress state of the cylinders is analyzed depending on their thickness and corrugation characteristics
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REFERENCES
Ya. M. Grigorenko, A. T. Vasilenko, N. G. Emel'yanov et al., Statics of Structural Members, Vol. 8 of the 12-volume series Mechanics of Composites [in Russian], A.S.K., Kiev (1999).
Ya. M. Grigorenko, G. G. Vlaikov, and S. N. Shevchenko, “Solution of the deformation problem for noncircular thick-walled cylindrical shells in a three-dimensional formulation,” Dokl. AN USSR, Ser. A, No. 6, 31–34 (1985).
Ya. M. Grigorenko and L. S. Rozhok, “On one approach to the solution of stress problems for noncircular hollow cylinders,” Int. Appl. Mech., 38, No. 5, 662–572 (2002).
Ya. M. Grigorenko and A. M. Timonin, “On one approach to the numerical solution of two-dimensional problems in the theory of plates and shells with variable parameters,” Prikl. Mekh., 23, No. 6, 54–61 (1987).
V. T. Grinchenko and A. F. Ulitko, Equilibrium of Canonical Elastic Bodies, Vol. 3 of the six-volume series Three-Dimensional Problems in the Theory of Elasticity and Plasticity [in Russian], Naukova Dumka, Kiev (1985).
A. N. Guz and Yu. N. Nemish, Statics of Noncanonical Elastic Bodies, Vol. 2 of the six-volume series Three-Dimensional Problems in the Theory of Elasticity and Plasticity [in Russian], Naukova Dumka, Kiev (1984).
M. A. Koltunov, Yu. N. Vasil'ev, and D. A. Pas'ko, Strength of Hollow Cylinders [in Russian], Mashinostroenie, Moscow (1981).
Yu. N. Nemish, Elements of the Mechanics of Piecewise-Homogeneous Bodies with Noncanonical Interfaces [in Russian], Naukova Dumka, Kiev (1989).
V. G. Piskunov and A. V. Marchuk, “Constructing a three-dimensional mathematical model for multilayered orthotropic plates,” Probl. Prochn., No. 12, 51–67 (1994).
Yu. N. Podilchuk, Boundary-Value Static Problems for Elastic Bodies, Vol. 1 of the six-volume series Three-Dimensional Problems in the Theory of Elasticity and Plasticity [in Russian], Naukova Dumka, Kiev (1984).
S. P. Timoshenko, A Course of Elasticity Theory [in Russian], Naukova Dumka, Kiev (1972).
A. V. Gorik, “Modeling transverse compression of cylindrical bodies in bending,” Int. Appl. Mech., 37, No. 9, 1210–1221 (2001).
Ya. M. Grigorenko, Ya. G. Savula, and I. S. Mukha, “Linear and nonlinear problems on the elastic deformation of complex shells and methods of their numerical solution,” Int. Appl. Mech., 36, No. 8, 979–1000 (2000).
A. T. Vasilenko and G. K. Sudavtsova, “Elastic equilibrium of circumferentially inhomogeneous orthotropic cylindrical shells of arbitrary thickness,” Int. Appl. Mech., 37, No. 8, 1046–1054 (2001).
Yu. N. Podil'chuk, “Exact analytical solutions of three-dimensional static thermoelastic problems for a transversally isotropic body in curvilinear coordinate systems,” Int. Appl. Mech., 37, No. 6, 728–761 (2001).
W. Yi and C. Bazavaraju, “Cylindrical shells under partially distributed radial loading,” Trans. ASME, J. Press. Vess.Techn., 118, No. 1, 104–108 (1996).
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Grigorenko, Y.M., Rozhok, L.S. Stress Analysis of Corrugated Hollow Cylinders. International Applied Mechanics 38, 1473–1481 (2002). https://doi.org/10.1023/A:1023261824900
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DOI: https://doi.org/10.1023/A:1023261824900