SHORT COURSE

Uncertainty in Civil Engineering and Computational Mechanics
Presented by Professor Bernd Moeller
Beginning March 6, 2006*

Bernd Moeller is the head of the Statics and Dynamics Institute at the Dresden University of Technology.

Course Outline
1. Mathematical basics-fuzziness
2. Mathematical basics-fuzzy randomness
3. Fuzzy finite element method
4. Fuzzy stochastic safety assessment
5. Fuzzy probabilistic safety assessment
6. Demolition of structures considering uncertainty
7. Fuzzy structural design
8. Fuzzy time series
9. Applications

Please contact Dr. Rafi Muhanna if you plan to attend.

Download Course Lectures
1. Mathematical Basics - Fuzziness
1.1 Cartesian Product and Extension Principle
1.2 Example of Non-Monotonic Mapping
1.3 Comments to Interaction
2. Fuzzy Finite Element Method
3. Mathematical Basics - Fuzzy Randomness
4. Fuzzy Stochastic Finite Element Method
5. Fuzzy Probabilistic Safety Assessment
6. Demolition of Structures Considering Uncertainty
7. Fuzzy Structural Design
8. Fuzzy Time Series

Publications

Fuzzy Cluster Design: A New Way for Structural Design
Bernd Moeller, Michael Beer and Martin Liebscher

Fuzzy Analysis as Alternative to Stochastic Methods–a Comparison by Means of a Crash Analysis
Marko Thiele, Martin Liebscher, Wolfgang Graf

Fuzzy Analysis as Alternative to Stochastic Methods – Theoretical Aspects
Bernd Moeller, Michael Beer, Martin Liebscher

Fuzzy Randomness – a Contribution to Imprecise Probability
Bernd Moeller

Fuzzy Randomness - Towards a New Modeling of Uncertainty
Bernd Moeller, Wolfgang Graf, Michael Beer and Jan-Uwe Sickert

Fuzzy Probability Method and its Application for the Safety Assessment of Structures
Bernd Moeller, Wolfgang Graf, Michael Beer, Jan-Uwe Sickert

* Monday-Wednesay-Friday for five sessions.