Stabilität der Tragwerke (Stability of supporting structures)

Topic

The stability of load-bearing structures is mapped and investigated using proprietary and commercial software. The reason for this is the equilibrium at the strongly deformed system, which can also cause so-called consequential loads. Often large deformation is accompanied by the occurrence of stability points. The tracking of deformation beyond stability points is achieved by static and dynamic numerical methods.

Contents

• Stability criteria
• Bifurcation, breakdown
• Approximation methods (Ritz, Galerkin)
• Inelastic buckling
• FEM for the geometrically nonlinear beam with moderate and large rotations
• Consequential load
• Path tracking for stability problems, arc length method
• Time integration methods for dynamic problems
• Energy conserving time integration
• Kinetic path tracking for stability problems

Accompanying material

Lecture notes will be made available in the Moodle workroom BMSD-SDT.

Notes on the lecture

Exercises for the lecture will take place in the lecture hall or in the computer pool, as announced.

Degree course

The course is intended for students of the master programs Bauingenieurwesen (civil engineering), Maschinenbau (mechanical engineering), Technomathematik (Technomathematics), Computational Mechanics and other comparable programs of the UAR universities.

The number of credits that can be taken depends on the workload of the individual study program.

Examination matters: