کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
786038 | 1465410 | 2006 | 7 صفحه PDF | دانلود رایگان |
Ellipsoidal-bound convex model approach for computing the non-linear buckling load of a non-linear elastic foundation-based column with uncertain initial imperfection is presented. In this study, the uncertain initial deflections are considered to be unknown except that they belong to a given set in the ellipsoidal space. The non-zero central values for uncertain initial deflections are considered here, so this is the general case. It is different from Ref. [I. Elishakoff, G.Q. Cai, J.H. Starnes Jr., Non-linear buckling of a column with initial imperfection via stochastic and non-stochastic convex models, Int. J. Non-Linear Mech. 29(1) (1994) 71–82], where only the zero central values for them are considered. On the other hand, the presented ellipsoidal-bound convex model is directly based on the exact model, whereas convex models in previous literatures are based on the first-order or second-order approximate models to solve uncertain problems. The influences of the central values and bounds of uncertain initial deflections on the buckling load are investigated. Comparisons between the ellipsoidal-bound convex model and interval-bound convex model are performed, where the stochastic results at different reliability levels and different truncated normal distribution are taken as the benchmarks of accuracy for judgment.
Journal: International Journal of Non-Linear Mechanics - Volume 41, Issue 8, October 2006, Pages 919–925