This course focuses on computational mechanics when designing. Topics include basics of computational mechanics, stiffness matrix, governing equations for elastic material, Rayleigh-Ritz method, basics of finite element method, practical knowledge of FEM.
By the end of this course, students will be able to use computational mechanics when students want to design something.
Computational mechanics, Design
✔ Specialist skills | Intercultural skills | Communication skills | ✔ Critical thinking skills | ✔ Practical and/or problem-solving skills |
This course introduces basics and computational mechanics and checks students' understanding by exercise in the first half of the course. Students will have chances to work on cases by applying knowledge acquired through this course in the latter half of the course.
Course schedule | Required learning | |
---|---|---|
Class 1 | Basics of computational mechanics | Understand basics of computational mechanics |
Class 2 | Stiffness matrix | Understand stiffness matrix |
Class 3 | Exercise: stiffness matrix | Use the exercise problems to better understand the topics covered and evaluate one's own progress. |
Class 4 | Governing equations for elastic material | Understand governing equations for elastic material |
Class 5 | Energy principle, Rayleigh-Ritz method | Understand energy principle, Rayleigh-Ritz method |
Class 6 | Basics of finite element method | Understand basics of finite element method |
Class 7 | modeling, elements, exercise | Use the exercise problems to better understand modeling and elements. |
Class 8 | meshing, boundary conditions, exercise | Use the exercise problems to better understand meshing and boundary conditions. |
Class 9 | Physical model | Understand physical model |
Class 10 | validation, analysis and interpretation | Understand validation, analysis, and interpretation |
Class 11 | evaluation of strength | Understand evaluation of strength |
Class 12 | Exercise 1: Tensile loading | understand the topics covered and evaluate one's own progress. |
Class 13 | Exercise 2: Bending loading | understand the topics covered and evaluate one's own progress. |
Class 14 | Exercise 3: Pressure vessel | understand the topics covered and evaluate one's own progress. |
Class 15 | Exercise 4: Stress concentration | understand the topics covered and evaluate one's own progress. |
None
Jacob Fish, Ted Belytschko, A first course in finite elements, Wiley
Satoshi Izumi, Shinsuke Sakai, Practical Finite Element Simulation, Morikita (Japanese)
Peter R. N. Childs, Mechanical design second edition, Butterworth-Heinemann
Exercise (35%) and report(65%)
tudent require the following knowledge: basics of mathematics and strength of material