In recent years, the accuracy of structural analysis has improved dramatically with the development of computers, and CAE
(computer aided engineering) analysis methods have become indispensable in the design of structures and mechanical components.
The finite element method is a widely used method in CAE analyses. In this lecture, basic concepts and analysis methods of
the finite element method for low-dimensional components will be introduced. After that, students will perform modeling and
analyses of the practice problems by themselves using commercially available software. Through comparison of the analysis
results with reference solutions obtained in strength of materials, etc., students will deepen their understanding for the
specific usage of finite element analysis.
The objectives of this class are as follows:.
1. To understand the basic concepts of structural analysis using the finite element method.
2. To understand basic finite element analysis methods (CAE methods) through modeling and analysis of simplified structural problems.
3. To demonstrate reference solutions based on strength of materials, etc., through 3-dimensional analysis, and to understand the agreement and disagreement between them.
1. To understand the basic concepts of structural analysis using the finite element method.
2. To understand basic finite element analysis methods (CAE methods) through modeling and analysis of simplified structural problems.
3. To demonstrate reference solutions based on strength of materials, etc., through 3-dimensional analysis, and to understand the agreement and disagreement between them.
- To understand the flow of basic analysis methods (CAE methods) using the finite element method.
- To be able to perform actual modeling and finite element analysis of structural problems using commercial software and to quantitatively evaluate stresses and deformations.
- To explain the difference between reference solutions based on strength of materials and the results by finite element analysis.
| Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
|---|---|---|---|
| 1. | Lecture guidance ･Structural analysis in mechanical design ･Fundamentals of structural materials ･Finite element method and matrix structural analysis |
Preparation of Chapter 1 in text and review of strength of materials. | 60minutes |
| Answer the practice problems and prepare the report. | 120minutes | ||
| 2. | Matrix structural analysis(1) ･Matrix structural analysis using spring model ･Analysis of spring structure under compression |
Preparation and review of Chapter 2, Section 2.1. | 70minutes |
| Answer the practice problems and prepare the report. | 120minutes | ||
| 3. | Matrix structural analysis(2) ･Matrix structural analysis of truss ･Structural analysis of bar element |
Preparation and review of Chapter 2, Section 2.2. | 70minutes |
| Answer the practice problems and prepare the report. | 120minutes | ||
| 4. | Finite element method for 1D elastic body (1) ･1D elastic body ･Strain and stress (equilibrium equation) ･Solution method for 1D elastic body under load |
Preparation and review of Chapter 3, Section 3.1. | 70minutes |
| Answer the practice problems and prepare the report. | 120minutes | ||
| 5. | Finite element method for 1D elastic body (2) ･Virtual work formula for 1D elastic body ･Linear elements and shape functions ･Finite element analysis of 1D elastic body under load |
Preparation and review of Chapter 3, Section 3.2. | 70minutes |
| Answer the practice problems and prepare the report. | 120minutes | ||
| 6. | Finite element method for 1D elastic body (3) ･Finite element analysis of 1D elastic body subjected to body force ･Finite element analysis of 1D elastic body with changing cross-sectional area |
Preparation and review of Chapter 3, Examples 3.4, 3.5 and 3.6. | 70minutes |
| Answer the practice problems and prepare the report. | 120minutes | ||
| 7. | Development of finite element method for 2D elastic body ･Stress and strain in two-dimensional elastic body ･Displacement-strain relationship ･Shape functions ･Introduction of commercially available software |
Preparation and review of Chapter 4, Section 4.1 and 4.2. | 120minutes |
| Preparation for use of commercially available software. | 70minutes | ||
| 8. | Analysis using commercially available software (1) ･Finite element analysis of elastic body under tensile/compressive load ･Discussion of analysis results |
Preparation and review of handouts and practice problem. | 70minutes |
| Answer the practice problem and prepare the report. | 120minutes | ||
| 9. | Analysis using commercially available software (2) ･Finite element analysis of elastic body with varying cross sectional area ･Discussion of analysis results |
Preparation and review of handouts and practice problem | 70minutes |
| Answer the practice problem and prepare the report. | 120minutes | ||
| 10. | Analysis using commercially available software (3) ･Finite element analysis of elastic body with continuously changing cross section ･Discussion of analysis results |
Preparation and review of handouts and practice problem | 70minutes |
| Answer the practice problem and prepare the report. | 120minutes | ||
| 11. | Analysis using commercially available software (4) ･Finite element analysis of elastic body subjected to bending ･Discussion of analysis results |
Preparation and review of handouts and practice problem | 70minutes |
| Answer the practice problem and prepare the report. | 120minutes | ||
| 12. | Analysis using commercially available software (5) ･Finite element analysis of elastic body subjected to torsion ･Discussion of analysis results |
Preparation and review of handouts and practice problem | 70minutes |
| Answer the practice problem and prepare the report. | 120minutes | ||
| 13. | Analysis using commercially available software (6) ･Finite element analysis of elastic body subjected to bending and torsion ･Discussion of analysis results |
Preparation and review of handouts and practice problem | 70minutes |
| Answer the practice problem and prepare the report. | 120minutes | ||
| 14. | Analysis using commercially available software (7) ･Finite element analysis of elastic body with stress concentration ･Comparison with theoretical solution and discussion |
Preparation and review of handouts and practice problem | 70minutes |
| Answer the practice problem and prepare the report. | 120minutes | ||
| Total. | - | - | 2650minutes |
| Report (first half) | Report (second half) | Total. | |
|---|---|---|---|
| 1. | 15% | 10% | 25% |
| 2. | 20% | 25% | 45% |
| 3. | 15% | 15% | 30% |
| Total. | 50% | 50% | - |
Students will be comprehensively evaluated based on the reports of practice problems on structural analysis calculations during
the first half (50%) and the reports of practice problems on analyses using commercially available software during second
half (50%).
Students can pass getting 60 points out of 100 points.
Students can pass getting 60 points out of 100 points.
| ways of feedback | specific contents about "Other" |
|---|---|
| Feedback in the class |
Text: Japan Association for Nonlinear CAE (ed.), “Reidai de manabu Yugen Yousohou”, Morikita Publishing Co., Ltd.
Additional handouts.
Additional handouts.
- Questions will be accepted after the class or via email.
- Course that cultivates a basic problem-solving skills
- Course that cultivates an ability for utilizing knowledge
- Course that cultivates a basic self-management skills
| Work experience | Work experience and relevance to the course content if applicable |
|---|---|
| N/A | 該当しない |
- 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
- 12.RESPONSIBLE CONSUMPTION & PRODUCTION
Last modified : Sat Sep 09 08:45:40 JST 2023