An arbitrary-shaped arch element for large deflection analysis

作者: S. Chakraborty , S. Majumdar

DOI: 10.1016/S0045-7949(97)80863-2

关键词: Equations of motionLarge deflectionRigid bodyAxial forceGeometryBending momentArchFinite element methodMathematics

摘要: Abstract A high precision finite element has been derived for large deflection and post-buckling analysis of thin arches arbitrary shapes. Emphasis is placed on accurate representation geometry at all stages deformation. This approach ensures natural rigid body modes, which crucial integration equation motion through the critical points. Full non-linear expressions are retained to account objectivity interaction between axial force bending moment.

参考文章(17)
Stephen P. Timoshenko, Theory of Elastic Stability ,(1936)
I. D. Faux, M. J. Pratt, Computational Geometry for Design and Manufacture 331 p. : ill Chichester, England: Ellis Horwood Limited., 1979. includes bibliography: p. 315-326 and index -- (Mathematics & and its Applications series). ,vol. 6, ,(1979)
E. Riks, An incremental approach to the solution of snapping and buckling problems International Journal of Solids and Structures. ,vol. 15, pp. 529- 551 ,(1979) , 10.1016/0020-7683(79)90081-7
T.Y. Yang, Matrix displacement solution to elastica problems of beams and frames International Journal of Solids and Structures. ,vol. 9, pp. 829- 842 ,(1973) , 10.1016/0020-7683(73)90006-1
G. Karami, M. Farshad, M.R. Banan, Spatial buckling of arches—A finite element analysis Computers & Structures. ,vol. 34, pp. 565- 576 ,(1990) , 10.1016/0045-7949(90)90234-S
James Ferguson, Multivariable Curve Interpolation Journal of the ACM. ,vol. 11, pp. 221- 228 ,(1964) , 10.1145/321217.321225
O. C. Zienkiewicz, Computational methods in partial differential equations. A. R. Mitchell, Wiley, London, 1969 International Journal for Numerical Methods in Engineering. ,vol. 2, pp. 299- 299 ,(1970) , 10.1002/NME.1620020216
M. A. Crisfield, An arc‐length method including line searches and accelerations International Journal for Numerical Methods in Engineering. ,vol. 19, pp. 1269- 1289 ,(1983) , 10.1002/NME.1620190902
M.A. Crisfield, A faster modified newton-raphson iteration Computer Methods in Applied Mechanics and Engineering. ,vol. 20, pp. 267- 278 ,(1979) , 10.1016/0045-7825(79)90002-1