Abstract
A numerical-analytical approach is proposed to solve boundary-value stress-strain problems for hollow inhomogeneous cylinders under centrifugal loading. Their elastic characteristics vary in both radial and circumferential directions. The governing system of ordinary differential equations is derived using Fourier series for stresses and displacements. It is solved by the discrete-orthogonalization method. Solutions to specific problems are exemplified
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REFERENCES
E. K. Ashkenazi and E.V. Ganov, Anisotropy of Structural Materials [in Russian], Mashinostroenie, Leningrad (1980).
A. T. Vasilenko, N. I. Klimenko, and G. K. Sudavtsova, “Stress state of an inhomogeneous orthotropic cylinder under off-center loading,” Dop. NAN Ukrainy, No. 9, 53–57 (1998).
Ya. M. Grigorenko, A. T. Vasilenko, and N. D. Pankratova, Elastic Problems for Inhomogeneous Bodies [in Russian], Naukova Dumka, Kiev (1991).
Ya. M. Grigorenko and A. P. Mukoed, Computer Solution of Problems in Shell Theory: A College Textbook [in Russian] Vyshcha Shkola, Kiev (1979).
A. T. Vasilenko and N. I. Klimenko, “Stress state of rotating inhomogeneous anisotropic cylinders,” Int. Appl. Mech., 35, No.8, 778–783 (1999).
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. S. Rozhok, “Stress analysis of orthotropic hollow noncircular cylinders,” Int. Appl. Mech., 40, No.6, 679–685 (2004).
Ya. M. Grigorenko and L. S. Rozhok, “Influence of corrugation frequency and amplitude on the stress state of hollow elliptical cylinders,” Int. Appl. Mech., 40, No.9, 1012–1017 (2004).
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Translated from Prikladnaya Mekhanika, Vol. 41, No. 8, pp. 82–87, August 2005.
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Klimenko, N.I. Numerical-Analytic Solution of Boundary-Value Stress-Strain Problems for Rotating Anisotropic Cylinders. Int Appl Mech 41, 904–909 (2005). https://doi.org/10.1007/s10778-005-0158-5
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DOI: https://doi.org/10.1007/s10778-005-0158-5