| |
| Previous course: 59110/C5910 |
| Offered by:
Department of Structural Engineering and Materials
(BKM) |
| No credit points with: 59110/C5910 |
| Prerequisite: 59308 |
| Recommended semester:
7th - 9th semester |
| Examination:
Assessment of the report and approval of compulsory job. Delivering report.
(13 point scale
) |
| Contact person: |
Esben Byskov, BKM, Building 118, Tel. +45 4525 1715 |
|
| Aim: To provide a thorough understanding of structural stability with emphasis of influence of geometric imperfections. To provide computational tools for determination of carrying capacity of imperfect structures. |
Contents: Necessary continuum mechanics foundation:
Lagrangian Strain and Piola-Kirchhoff Stresses, variational principles (Principle of Virtual Displacements).
Concepts of stability and instability with little emphasis on mathematics:
Bifurcation instability, limit load instability, postbuckling and imperfaction sensitivity.
Elastic buckling:
This part centers on asymptotic methods and their application to various structural examples that display several important features:
- Classical critical load
- Postbuckling behavior and imperfection sensitivity.
Asymptotic methods to compute imperfection sensitivity.
Interaction between buckling modes. Adhoc analyses: asymptotic methods (Byskov & Hutchinson's method. Koiter's method).
Plastic buckling and imperfection sensivity: The following examples, which elucidate different important phenomena, are discussed:
- Shanley's, Hutchinson's, and Tvergaard & Needleman's columns
- Rooda's Frame
- Cruciform column (discussion of applicability of incremental plasticity versus deformation theory)
- Buckle localization
Dynamic instability:
Some theory and one example:
- Beck's column (follower forces)
Numerical Methods: The general equations are interpreted in terms of Finite Element Methods. Certain special, numerical problems are discussed, and various solutions are presented. |
