BENDING INSTABILITY OF COMPOSITE TUBES

In this paper, a set of simple formulations is derived to predict the instability critical loads of orthotropic composite tubes under pure bending. The formulations are based on the assumption that the instability of an orthotropic composite tube under pure bending is due to the ovalization of its cross section. For the static instability case, the ovalization increases steadily as the curvature increases, which results in a reduction in the bending rigidity of the tube. The interaction of longitudinal bending and cross-section ovalization causes the tube to have a limit load instability. For the dynamic instability case, the instability of the tube is due to the interaction of two vibrations, one is the longitudinal bending of the tube as a beam, the other is the circumfer­ ential bending of the tube as a thin-walled shell.

[1]  Alan E. Stockwell,et al.  Collapse of composite tubes under end moments , 1992 .

[2]  S. Gellin The plastic buckling of long cylindrical shells under pure bending , 1980 .

[3]  Long-yuan Li,et al.  Dynamic elastic instability of long circular cylindrical shells under pure bending , 1996 .

[4]  George J. Simitses,et al.  Dynamic Stability of Suddenly Loaded Structures , 1989 .

[5]  George J. Simitses,et al.  Instability of Dynamically-Loaded Structures , 1987 .

[6]  Long-yuan Li,et al.  Approximate estimates of dynamic instability of long circular cylindrical shells under pure bending , 1996 .

[7]  David Bushnell,et al.  Elastic-plastic bending and buckling of pipes and elbows , 1981 .

[8]  George J. Simitses,et al.  Suddenly-loaded structural configurations , 1984 .

[9]  C. R. Calladine,et al.  Plastic buckling of tubes in pure bending , 1982 .

[10]  D. Sherman TESTS OF CIRCULAR STEEL TUBES IN BENDING , 1976 .

[11]  Stelios Kyriakides,et al.  Inelastic analysis of thin-walled tubes under cyclic bending , 1985 .

[12]  P. Seide,et al.  On the Buckling of Circular Cylindrical Shells Under Pure Bending , 1961 .

[13]  S. Kyriakides,et al.  Bifurcation and localization instabilities in cylindrical shells under bending-II. Predictions , 1992 .

[14]  Stelios Kyriakides,et al.  Inelastic Buckling of Tubes Under Cyclic Bending , 1987 .

[15]  Long-yuan Li,et al.  Elastoplastic dynamic instability of long circular cylindrical shells under pure bending , 1994 .

[16]  C. R. Calladine,et al.  Theory of Shell Structures , 1983 .

[17]  L. Brazier ON THE FLEXURE OF THIN CYLINDRICAL SHELLS AND OTHER SECTION , 1927 .

[18]  Long-yuan Li,et al.  Determination of stability in nonlinear analysis of structures , 1994, Archive of Applied Mechanics.

[19]  S. Kyriakides,et al.  Bifurcation and localization instabilities in cylindrical shells under bending—I. Experiments , 1992 .

[20]  B. D. Reddy,et al.  An experimental study of the plastic buckling of circular cylinders in pure bending , 1979 .

[21]  O. Fabian Collapse of cylindrical, elastic tubes under combined bending, pressure and axial loads , 1977 .