Literature Cited
V. M. Aleksandrov and V. B. Zelentsov, “Asymptotic methods in problems involving the bending of a plate with mixed boundary conditions of fastening,” in: Theory of Shells and Plates: Proceedings of the Eighth All-Union Conference on the Theory of Shells and Plates, Rostov-on-Don, 1971 [in Russian], Nauka, Moscow (1973), pp. 20–23.
S. A. Ambartsumyan, Theory of Anisotropic Plates [in Russian], Nauka, Moscow (1967).
H. Bateman and A. Erdelyi, Tables of Integral Transforms, McGraw-Hill (1954).
P. M. Barvak and L. P. Barvak, The Method of Networks in Problems involving the Calculation of Structural Designs [in Russian], Stroiizdat, Moscow (1977).
O. A. Zhuravskaya, “Calculation of plates with mixed boundary conditions,” Nauch. Tr. Magnitogorsk. Gornometallurg. In-ta, No. 65, 37–40 (1970).
R. S. Minasyan, “A mixed problem in the bending of a rectangular plate,” Dokl. Akad. Nauk Arm. SSR,22, No. 1, 3–12 (1958).
V. N. Moskalenko, “Application of refined theories of the bending of plates in a problem of characteristic vibrations,” Inzh. Zh.,1, No. 3, 93–101 (1961).
W. Nowacki, “Rectangular plates with mixed boundary conditions,” Byull. Pol. Akad. Nauk Otd. 4,1, No. 1/2. 11–16 (1953).
W. Nowacki and S. Kaliski, “Some problems in the statics of plates with mixed boundary conditions,” Byull. Pol. Akad. Nauk Otd.4, No. 4, 247–258 (1956).
B. L. Pelekh, Concentration of Stresses near Openings in Cases involving the Bending of Transversely Isotropic Plates [in Russian], Naukova Dumka, Kiev (1977).
G. Ya. Popov, “The method of orthogonal polynomials in contact problems in the theory of elasticity,” Prikl. Mat. Mekh.,33, No. 3, 518–531 (1969).
V. P. Potelezhko, “Convergence of a Levi solution,” Sb. Tr. Mosk. Inzh.-Stroit. In-ta Belgorod. Tekhnol. In-ta Stroit. Materialov, No. 20, 52–61 (1976).
A. A. Romanov, “Calculation of rectangular plates with mixed boundary conditions,” Tr. Mosk. In-ta Inzh. Zhel.-dor. Transp., No. 364, 94–103 (1971).
V. A. Smirnov, Calculation of Plates of Complex Shape [in Russian], Stroiizdat, Moscow (1978).
S. P. Timoshenko and B. Voinovskii-Kriger, Plates and Shells [in Russian], Fizmatgiz, Moscow (1965).
A. I. Tseitlin and B. T. Glikman, “Bending of an elastic rectangular plate with mixed boundary conditions,” Tr. TsNII Stroit. Konstrukt., No. 17, 125–143 (1971).
K. Kiattikomol, L. M. Keer, and J. Dundurs, “Application of dual series to rectangular plates,” J. Eng. Mech. Div., ASCE,100, N EEM2, 433–444 (1974).
Additional information
Kishinev Polytechnic Institute. Translated from Prikladnaya Mekhanika, Vol. 19, No. 2, pp. 89–95, February, 1983.
Rights and permissions
About this article
Cite this article
Morar', G.A., Chibotar', F.I. Investigation of the flexure of a rectangular plate with mixed boundary conditions, taking account of transverse shear. Soviet Applied Mechanics 19, 167–173 (1983). https://doi.org/10.1007/BF00882338
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00882338