A NEW METHOD TO COMPUTE PERTURBED BIFURCATIONS - APPLICATION TO THE BUCKLING OF IMPERFECT ELASTIC STRUCTURES

被引:144
作者
DAMIL, N
POTIERFERRY, M
机构
[1] Laboratoire de Physique et Mécanique des Matériaux, Unité de Recherche Associée au CNRS 1215, Faculté des Sciences, Ile du Saulcy
关键词
Beams and Girders;
D O I
10.1016/0020-7225(90)90043-I
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We present a new asymptotic-numerical method for the buckling analysis of imperfect elastic structures. It improves the classical estimate given by the theories of postbuckling or of perturbed bifurcation. By this way, we are able to compute numerically a class of nonlinear problems by inverting only one stiffness matrix. © 1990.
引用
收藏
页码:943 / 957
页数:15
相关论文
共 14 条
[1]  
Amazigo J. C., 1970, International Journal of Solids and Structures, V6, P1341, DOI 10.1016/0020-7683(70)90067-3
[2]   INCREMENTAL DISPLACEMENT ALGORITHMS FOR NON-LINEAR PROBLEMS [J].
BATOZ, JL ;
DHATT, G .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1979, 14 (08) :1262-1267
[3]  
Budiansky B, 1974, ADV APPL MECH, P1, DOI DOI 10.1016/S0065-2156(08)70030-9
[4]  
CHOW SN, 1975, ARCH RATION MECH AN, V59, P159
[6]  
DAMIL N, IN PRESS J DYNAMICS
[7]  
Golubitsky M., 1985, SINGULARITIES GROUPS, VI
[8]  
KOITER WT, 1945, NASA TECH T F, V10, P833
[9]   PERTURBED BIFURCATION THEORY [J].
POTIERFERRY, M .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1979, 33 (01) :112-146
[10]  
POTIERFERRY M, 1987, LECTURE NOTES PHYSIC, P1