Computation of elastic buckling loads of rectangular thin plates using the extended Kantorovich method

作者: S. Yuan , Y. Jin

DOI: 10.1016/S0045-7949(97)00111-9

关键词:

摘要: … The extended Kantorovich method is successfully extended to the analysis of elastic stability of rectangular thin plates in this paper. With the aid of a standard ODE solver, multi-term trial …

参考文章(16)
M. J. TURNER, R. W. CLOUGH, H. C. MARTIN, L. J. TOPP, Stiffness and Deflection Analysis of Complex Structures Journal of the Aeronautical Sciences. ,vol. 23, pp. 805- 823 ,(1956) , 10.2514/8.3664
D. J. Allman, Calculation of the elastic buckling loads of thin flat reinforced plates using triangular finite elements International Journal for Numerical Methods in Engineering. ,vol. 9, pp. 415- 432 ,(1975) , 10.1002/NME.1620090210
J.N. Reddy, C.S. Tsay, Stability and vibration of thin rectangular plates by simplified mixed finite elements Journal of Sound and Vibration. ,vol. 55, pp. 289- 302 ,(1977) , 10.1016/0022-460X(77)90600-9
U. Ascher, J. Christiansen, R. D. Russell, Algorithm 569: COLSYS: Collocation Software for Boundary-Value ODEs [D2] ACM Transactions on Mathematical Software. ,vol. 7, pp. 223- 229 ,(1981) , 10.1145/355945.355951
Arnold D. Kerr, An extended Kantorovich method for the solution of eigenvalue problems International Journal of Solids and Structures. ,vol. 5, pp. 559- 572 ,(1969) , 10.1016/0020-7683(69)90028-6
U. Ascher, J. Christiansen, R. D. Russell, Collocation Software for Boundary-Value ODEs ACM Transactions on Mathematical Software. ,vol. 7, pp. 209- 222 ,(1981) , 10.1145/355945.355950
Leonid Vital'evich Kantorovich, Approximate methods of higher analysis ,(1958)
WILLIAM GRANT CARSON, R. E. NEWTON, Plate buckling analysis using a fully compatible finite element. AIAA Journal. ,vol. 7, pp. 527- 529 ,(1969) , 10.2514/3.5142
W. Altman, F. Venancio-filho, Stability of plates using a mixed finite element formulation Computers & Structures. ,vol. 4, pp. 437- 443 ,(1974) , 10.1016/0045-7949(74)90067-4