Coursecode: wb1405A
Coursename: Stability of Thin-Walled Structures I

DUT creditpoints: 3
ECTS creditpoints: 4,5
Subfaculty of Mechanical Engineering and Marine Technology
Lecturer(s): Dr.ir. F. van Keulen, Prof.dr. J. Arbocz Tel.: 015-2786515
Catalog data:
Stability, buckling, finite elements, thin-walled structures		 Course year: 4, 5
Period: 0/0/2/2/2
Hours p/w: 2
Other hours:
Assessment: Oral examination
Assessm.period(s):
(see academic calendar)
Prerequisites: wb1304, wb1305
Follow up: wb1405B
Detailed description of topics:

Analytical (12 lectures):
Introduction, Straight bars, Rectangular flat plates, Circular rings, Circular cylindrical shells

Numerical (6 lectures):
Discrete systems, Discrete versus continuous systems, Nonlinear finite elements, Governing equations
Truss, beam, solid and facet elements
Linearized buckling analysis
Linearization of fundamental solution and formulation of linear eigenvalue problem
Properties of eigenvalues and eigenvectors
Methods for eigenvalue problems
Effectiveness of finite element formulations (Typical examples for beam and facet elements)
Design sensitivities for eigenvalues and buckling modes
Examples
General nonlinear solutions paths
Stability points (limit and bifurcation)
Path following techniques
Methods to determine bifurcation and limit points
Branch switching techniques
Transient analysis
Design sensitivities for stability points and nonlinear solution paths
Examples
Initial post-buckling analysis
Introduction to initial post-buckling analysis for discrete systems
Imperfections
Practical application and implications
Examples
Course material:
References from literature:
  • Buckling of Bars, Plates and Shells, Brush, D.O., Almroth, B.O.
  • Stability of Structures, Bazant & Cedolin, ISBN 0-19-505529-2
  • Nonlinear Finite Element Analysis of Solids and Structures, Crisfield, M.A.
  • Non-linear Finite Element Analysis of Solids and Structures. Vol.2. Advanced Topics. ,Crisfield, M.A.
  • Stability, Bifurcation and Postcritical Behaviour of Elastic Structures, Pignataro, M., Rizzi, N., Luongo, A.
Remarks (specific information about assesment, entry requirements, etc.):
Goals:
The present course is intended as an introduction to buckling for upper-undergraduate and graduate students.
Computer use:
Computer exercise must be completed.
Laboratory project(s):
Computer project.
Design content:
Thin-walled structures, although being used intensively, are notorious for buckling phenomena. Design and optimization of thin-walled structures therefore calls for a thorough understanding of buckling phenomena.
Percentage of design: 50%