# 206.342 Optimal Analysis of Structures Using Graph Theory AbgesagtDiese Lehrveranstaltung ist in allen zugeordneten Curricula Teil der STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_21",{id:"j_id_21",showEffect:"fade",hideEffect:"fade",target:"isAllSteop"});});Diese Lehrveranstaltung ist in mindestens einem zugeordneten Curriculum Teil der STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_23",{id:"j_id_23",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});});

2020S, VO, 2.0h, 3.0EC, wird geblockt abgehalten

## Merkmale

• Semesterwochenstunden: 2.0
• ECTS: 3.0
• Typ: VO Vorlesung

## Lernergebnisse

Nach positiver Absolvierung der Lehrveranstaltung sind Studierende in der Lage... See English text below!

After successful completion of the course, students are able to analyse structural engineering systems, with applicable methods to other types of structures.

The increasing need to demonstrate structural safety has driven many recent advances in structural technology that require greater accuracy, efficiency and speed in the analysis of their systems. These new methods of analysis have to be sufficiently accurate to cope with complex and large-scale structures. In addition, there is also a growing need to achieve more efficient and optimal use of materials.

Optimal Structural Analysis deals primarily with the analysis of structural engineering systems, with applicable methods to other types of structures.

• Presents efficient and practical methods for optimal analysis of structures.
• Provides a complete reference for many applications of graph theory, algebraic graph theory and matroids in computational structural mechanics.
• Presents recent developments and applications of the algebraic graph theory and matroids, which are ideally suited for modern computational techniques.
• Presents novel applications of graph products in structural mechanics.
• Symmetry in structures.
• Regularity in structures.
• Describes recent developments in the matrix force methods of structural analysis.

Optimal Structural Analysis will be of interest to post-graduate students in the fields of structures and mechanics, and applied mathematics particularly discrete mathematics. It will also appeal to practitioners developing programs for structures and finite element analysis.

## Inhalt der Lehrveranstaltung

1. Basic Concepts and Theorems of Structural Analysis.

2. Static Indeterminacy and Rigidity of Skeletal Structures.

3. Rigidity of Truss Structures.

4. Optimal Force Method of Structural Analysis.

5. Optimal Displacement Method of Structural Analysis.

6. Ordering for Optimal Patterns of Structural Matrices: Graph and Algebraic Graph Theory Methods.

7. Decomposition for Parallel Computing: Graph and Algebraic Graph Theory Methods.

8. Decomposition and Nodal Ordering of Regular Structures.

9. Symmetry and Structural Applications.

10. Regularity and Structural Applications.

11. Matroids Applied to Structures.

## Methoden

Explanation of technical contents, calculation of exercise examples, individual work on projects.

Mündlich

## Weitere Informationen

The lecture will be held by Prof. Ali Kaveh from Iran University of Science and Technology.

Oral exam.

## LVA-Anmeldung

Nicht erforderlich

## Literatur

Es wird kein Skriptum zur Lehrveranstaltung angeboten.

Englisch