Solution of the problem on the dynamic deformation of laminated flat structures

International Applied Mechanics

Volumn 36, Issue 4, 2000, Pages 526-531

  Marchuk, A V ^a   Piskunov, V G ^a  

^a NATIONAL TRANSPORT UNIVERSITY   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034349566     PISSN: 10637095     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02681976     Document Type: Article

References (17)

1. 1. S. A. Ambartsumyan, The Theory of Anisotropic Plates [in Russian], Nauka, Moscow (1987).
2. 2. V. V. Bolotin and Yu. N. Novichkov, The Mechanics of Multilayer Structures [in Russian], Mashinostroyeniye, Moscow (1980).
3. 3. V. V. Vasil'ev, The Mechanics of Structures Made from Composite Materials [in Russian], Mashinostroyeniye, Moscow (1988).
4. 4. É. I. Grigolyuk and P. P. Chulkov, "The finite-deflections theory of viscoelastic multilayered shells with rigid fillers," Prikl. Mekh. Tekh. Fiz., No. 5, 109-107 (1964).
5. 5. Ya. M. Grigorenko, E. I. Bespalova, A. B. Kitaigorodskii, and A. I. Shinkar', The Free Vibrations of Elements of Shell Structures [in Russian], Naukova Dumka, Kiev (1986).
6. 6. Ya. M. Grigorenko, A. T. Vasilenko, and N. D. Pankratova. Problems of the Theory of Elasticity of Inhomogeneous Bodies [in Russian], Naukova Dumka, Kiev (1986).
7. 7. P. A. Zhilin and T. P. Il'icheva, "The spectrum and the modes of vibrations of a rectangular parallelepiped obtained based on the three-dimensional theory of elasticity and the theory of plates," Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 2, 94-103 (1980).
8. 8. T. N. Kilina, "The free vibrations of plates inhomogeneous along the thickness," in: Proc. 10th Sci. Conf. of Young Scientists of the Institute of Mechanics of the Acad. Sci. Ukr. SSR [in Russian], Kiev (1984), pp. 222-226.
9. 9. A. V. Marchuk, "A three-dimensional analytical solution for laminated plates with allowance for the slippage of layers," Prikl. Mekh., 33, No. 9, 10-14 (1997).
10. 10. A. V. Marchuk, "Generalization of the discrete-structural and continuous-structural approaches to the construction of a mathematical model of calculation of laminated plates and blocks," Mekh. Komp. Mater., 32, No. 3, 377-387 (1996).
11. 11. A. V. Marchuk and V. G. Piskunov, "The statics, vibrations, and stability of composite panels with flat curvature of orthotropic layers. 1. Statics and vibrations," Mekh. Komp. Mater., 35, No. 4, 423-434 (1999).
12. 12. V. N. Moskalenko, "The natural vibrations of three-layer plates," Izv. Akad. Nauk SSSR, Mekh. Mashinostr., No. 4, 125-130 (1962).
13. 13. V. S. Piskunov, Design of Inhomogeneous Shallow Shells and Plates by the Finite-Element Method [in Russian], Vyssh. Shk., Kiev (1986).
14. 14. A. O. Rasskazov, I. I. Sokolovskaya, and N. A. Shul'ga, The Theory and Design of Laminated Orthotropic Plates and Shells [in Russian], Vyssh. Shk., Kiev (1986).
15. 15. S. Srinivas, C. V. Joga Rao, and A. K. Rao, "Some results from an exact analysis of thick laminates in vibration and buckling," Trans. ASME, Prikl. Mekh., 37, No. 3, 295-297 (1970).
16. 16. S. M. Galileev and A. V. Matrosov, "Stable algorithms of the method of initial functions in the analysis of thick laminated composite plates," in: Composite Science and Technology (ICCST/1), Durban (1996), pp. 149-158.
17. 17. S. M. Galileev, A. V. Matrosov, N. N. Gubin, and I. N. Miroshnichenko, "Exact elasticity solution for investigating peculiarities in deformations of thick plates and shells in composite materials," in: Composite Science and Technology (ICCST/2), Durban (1998), pp. 345-351.