Spline-approximation solution of problems of the statics of orthotropic shallow shells with variable parameters

International Applied Mechanics

Volumn 36, Issue 7, 2000, Pages 888-895

  Grigorenko, Ya M ^a   Kryukov, N N ^a   Ivanova, Yu I ^b  

^a S P TIMOSHENKO INSTITUTE OF MECHANICS   (Ukraine)

^b STATE UNIVERSITY OF INFRASTRUCTURE AND TECHNOLOGIES   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034216250     PISSN: 10637095     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02682297     Document Type: Article

References (14)

1. 1. V. Z. Vlasov, The General Theory of Shells and Its Application in Engineering [in Russian], Gostekhizdat, Moscow-Leningrad (1949).
2. 2. Ya. M. Grigorenko, "Some approaches to the numerical solution of linear and nonlinear problems of the theory of shells in classical and refined formulations," Prikl. Mekh., 32, No. 6, 3-39 (1996).
3. 3. Ya. M. Grigorenko and M. N. Berenov, "On numerical solution of problems of the statics of shallow shells based on the spline-collocation method," Prikl. Mekh., 24, No. 5, 32-38 (1988).
4. 4. Ya. M. Grigorenko and M. N. Berenov, "Solving problems of the statics of shallow shells and plates with hinged and rigidly fixed opposite edges," Prikl. Mekh., 26, No. 1, 30-35 (1990).
5. 5. Ya. M. Grigorenko and A. T. Vasilenko, The Theory of Shells of Variable Rigidity, Vol. 4 of the five-volume series Methods of Shell Design [in Russian], Naukova Dumka, Kiev (1981).
6. 6. Ya. M. Grigorenko and N. N. Kryukov, "Some approaches to the spline-approximation solution of problems of the theory of shells and plates," in: Trans. 15th All-Union Conf. on the Theory of Shells and Plates (Kazan', August 28 - September 2, 1990) [in Russian], Izd. Kazan. Univ., Kazan' (1990), pp. 31-36.
7. 7. Ya. M. Grigorenko and N. N. Kryukov, "Solution of linear and nonlinear boundary-value problems of the theory of shells and plates based on the method of lines," Prikl. Mekh., 29, No. 4, 3-11 (1993).
8. 8. Ya. M. Grigorenko and N. N. Kryukov, "Solving problems of the theory of plates and shells using spline-functions (review)," Prikl. Mekh., 31, No. 6, 3-27 (1995).
9. 9. L. H. Donnell, Beams, Plates, and Shells [Russian translation], Nauka, Moscow ( 1982).
10. 10. Yu. S. Zav'yalov, B. I. Kvasov, and V. L. Miroshnichenko, The Methods of Spline Functions [in Russian], Nauka, Moscow-Leningrad (1980).
11. 11. Kh. M. Mushtari, "Some generalizations of the theory of thin shells in solving problems on the stability of elastic equilibrium," Prikl. Mat. Mekh., 2, No. 14, 439-456 (1939).
12. 12. V. L. Novozhilov, The Theory of Thin Shells [in Russian], Sudpromgiz, Leningrad (1962).
13. 13. Ya. M. Grigorenko and N. N. Kryukov, "Investigation of the asymmetric stressed-strained state of transversaly isotropic cylinders under different boundary conditions at the ends," Int. Appl. Mech., 34, No. 7, 607-614 (1998).
14. 14. Ya. M. Grigorenko and A. T. Vasilenko, "Certain approaches to solving problems on the statics of shells with a nonuniform structure," Int. Appl. Mech., 34, No. 10, 957-964 (1998).