This course teaches the fundamentals of the probabilistic concepts in engineering design, especially, in civil engineering fields. Propablicstic approaches are important for considering random phenomena and uncertainties in engineering design for various purposes such as fracture prevention of structures. In this course, in order to understand the random phenomena and uncertainties in engineering design, related topics including modeling of randam phanomena, extreme value analysis and time varying phenomena are explained.
This course aims to allow students to understand the probablistic approaches in engineering design and to learn the design methods considering uncertainties. In addition, this course provides various example situations in civil engineering to allow students to apply the probablistic approaches for wide purposes.
By the end of this course, students will be able to:
1) Explain the uncertainties and the proablistic approaches in design in civil engineering fields.
2) Explain the use of extreme value analysis in design.
3) Explain the design methods considering uncentainties.
4) Explain the probabilistic approaches for time varying random phenomena.
Engineering desiign, probabilities, design methods
|✔ Specialist skills||Intercultural skills||✔ Communication skills||Critical thinking skills||✔ Practical and/or problem-solving skills|
In this course, lectures on technical knowledge using Powerpoint will be given based on the handouts distributed at the beginning of class.
|Course schedule||Required learning|
|Class 1||Introduction||Explain the importance of the probabilistic approaches in engineering design.|
|Class 2||Fundamentals of probabilistic models||Explain the probabilistic models used in probabilistic approaches in engineering design.|
|Class 3||Survey on examples of probabilistic models in engineering design||Explain the examples of probabilistic models in engineering design.|
|Class 4||Analysis methods of random phenomena||Explain the analysis methods for random phenomena or phenomena with uncertainties.|
|Class 5||Survey on examples of random phenomenon analysis in engineering design||Explain the examples of random phenomenon analysis in engineering design.|
|Class 6||Functions of random variables||Explain the analysis methods for functions of random variables.|
|Class 7||Extreme value analysis in engineering design||Explain the extreme value analysis in engineering design.|
|Class 8||Design using extreme value analysis||Explain the application of extreme value analysis in engineering design.|
|Class 9||Processing methods of observation data||Explain the data processing methods of observation data such as monitoring data.|
|Class 10||Determination of probabilistic models||Explain the ideas for determination of probabilistic models for random phenomena.|
|Class 11||Simulation||Explain the simulation methods of random phenomena.|
|Class 12||Reliability based design||Explain the fundamental ideas of reliability based design.|
|Class 13||Application of reliability based design in civil engineering structures||Explain the structure design in which the ideas of reliability based design are introduced.|
|Class 14||Analysis of time varying random phenomena||Explain the probabilistic approaches for time varying random phenomena.|
|Class 15||Introduction of examples of analysis of time varying random phenomena in engineering design||Explain examples of analysis method of time varying random phenomena.|
Materials will be given by the instructor.
Reference: Probability Concepts in Engineering (Emphasis on Applications to Civil and Environmental Engineering) (A. H-S, Ang and W. H. Tang, John Wiley & Sons, Inc.)
In this course, students' performance will be evaluated as follows.
Assignments and quiz in the class (50%) and final examination (50%).