On the problem of bending of transversally isotropic plates

• Autorzy: Bozhydarnyk V.
• Języki publikacji: EN

Abstrakty

EN

The possibility of analysis of transversally isotropic plates of medium thickness by means of representing the displacements in the form of finite series along the lateral coordinate is examined. Differential equations of the twelfth order are derived. Conditions on the plate boundaries are determined. Examples of numerical calculations are presented. The article is a sequel to papers.

Słowa kluczowe

EN

izotropic plate; bending

PL

płyta izotropowa; wyginanie

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2000
• Tom: Vol. 48, iss. 1
• Strony: 61--71
• Opis fizyczny: Bibliogr. 14 poz., rys., tab.

Twórcy

autor

Bozhydarnyk V.

• Lutsk State Technical University Ukraine

Bibliografia

• 1. S.A. AMBARTSUMYAN, Theory of anisotropic plates [in Russian], Nauka, Moskva 1967.
• 2. A.S. BONDARCHUK and P.M. VARVAK, Effect of shear deformation at axi-symmetric bending of circular plates, [in:] Strength of materials in the theory of structures [in Russian], 18, 55–62, Kiev 1972.
• 3. YU KHOMA, Generalized theory of anisotropic shells [in Russian], Naukova Dumka, Kiev 1986.
• 4. A.A. DUTCHENKO, S.A. LUR'E, I.F. OBRAZTSOV, Anisotropic plates and shells [in Russian], [in:] Results in science and technology, V.I.N.I.T.I., 15, 3–68, Moskva 1983.
• 5. SH.K. GALIMOV, Symmetrical bending of a circular plate of medium thickness [in Russian], [in:] Proc. Semin. on the theory of shells, Ed. Phys.-Techn. Inst. AN SSSR, Kazan 1973.
• 6. S.G. LEKHNITSKY, On the theory of thick anisotropic plates [in Russian], Ed. AN SSSR, Dept. of Mech., 2, 142–145, 1959.
• 7. B.M. LISITSYN, Analysis of fixed plates considered as a problem of three-dimensional elasticity theory [in Russian], Prikl. Mekh., 6, 5, 18–23, 1970.
• 8. B M. LISITSYN, Analysis of simply supported thick plates considered as a problem of three-dimensional elasticity theory [in Russian], [in:] Analysis of spatial structures, Engin.-Struct. Inst., 2, 171–176, Kuibyshev 1974.
• 9. V.G. PISKUNOV, A.G. GURTOVOI, V.S. SIPETOV, On the theory of anisotropic plates [in Russian], Prikl. Mekh., 20, 5 82–87, 1984.
• 10. E. REISSNER, The effect of transverse shear deformation on the bending of elastic plates, J. Appl. Mech., 12, 1, 82–87, 1945.
• 11. V.I. SHVABYUK, On a certain variant of the generalized theory of transverssotropic plates [in Russian], Prikl. Mekh., 10, 11, 87–92, 1974.
• 12. V.I. SHVABYUK, Effect of the normal compressibility in contact problems of transversal isotropic plates [in Russian], Prikl. Mekh., 16, 4, 82–87, 1980.
• 13. V.I. SHVABYUK and V.V. BOZHYDARNYK, On the accurate set of fundamental equations for transversally isotropic places [in Russian], Ed. Lvov Techn. University, Architectural and constructional progress reserves, 202, 83–85, Lvov 1986.
• 14. S.P. TIMOSHENKO and S. WOINOWSKY-KRIEGER, Plates and shells [Russian translation], Nauka, Moskva 1966.