原文传递
Sequential buckling: A variational analysis
| 题名： | Sequential buckling: A variational analysis |
| 作者： | M.A. Peletier |
| 关键词： | fourth-order, Swift-Hohenberg equation. Extended Fisher-Kolmogorov equation, localization, localized buckling, concentration compactness, destiffening, restiffening, destabilization, restabilization. |
| 摘要： | We examine a variational problem from elastic stability theory; a thin elastic strut on an elastic fourtdation. The strut has infinite length, and its lateral deflection represented by u: R — > R. Deformation takes place under conditions of prescribed tetal shortening, leading to the variational problem inf {1/2f u n2 + f F(u):1/2 f u n2= *}. （0.1） Solutions of this minimization problem solve the Euler-Lagrange equation u"" + pu" + F'(u) = 0, -∞ < x< ∞ (0.2) The foundation has a nonlinear stress-strain relationship F', combining a destiffening character for small deformation with subsequent stiffening for large deformation. We prove that for every value of the shortening A > 0 the minimization problem has at least one solution. In the limit A -k OO these solutions converge on bounded intervals to a periodic profile, that is characterized by a related variational problem. W* also examine the relationship with a bifurcation branch of solutions of (0.2), and show numerically that ali minimizers of (0.1) lie on this branch This information provides an interesting insight into the structure of the solution set of (0.1). 1991 Mathematics Subject Classification: 34C11, 34C25, 34C37, 49N99, 49R99, 73C50, 73H05, 73H10. 73K05, 73K20, 73N20, 73Q05, 73V25, 86A60. |
| 报告类型： | 科技报告 |
相关文献
- QUASI-VARIATIONAL INEQUALITY APPROACH TO MULTI-USER-CLASS DYNAMIC TRAFFIC ASSIGNMENT.
- ANALYSIS OF SEVERITY OF YOUNG DRIVER CRASHES: SEQUENTIAL BINARY LOGISTIC REGRESSION MODELING.
- Next Generation of Probabilistic Programming: Massive Data, Data Systems, and Model Diagnostics.
- APPLICATION OF SIMULTANEOUS AND SEQUENTIAL TRANSPORTATION NETWORK EQUILIBRIUM MODELS TO RIYADH, SAUDI ARABIA
- ILLUMINATION INVARIANT AND OCCLUSION ROBUST VEHICLE TRACKING BY SPATIO-TEMPORAL MRF MODEL.
- Dynamic Analysis of the Bulk Tritium Shipping Package Subjected to Closure Torques and Sequential Impacts
检索历史
应用推荐
