With the development of computers, the accuracy of structural analysis has improved dramatically, and this method has become
indispensable for evaluating stress and strain in structures. However, the finite element method in structural analysis is
an application and development of Newton's laws and material mechanics, and it goes without saying that the accumulation of
the basics has led to the development of today's simulation analysis. In this lecture, we will learn the analytical methods
of the finite element method, understand them through exercises, and deepen our physical understanding by conducting our own
analyses and comparing the results with reference solutions obtained by analytical methods.
The objectives of this class are as follows:.
1. To demonstrate the mechanics of materials (understanding by simplified models) by 3D analysis and to recognize the agreement and disagreement between them. 2.
2. To understand the significance and limitations of mechanics of materials models, and to acquire 2D and 3D CAE analysis methods.
1. To demonstrate the mechanics of materials (understanding by simplified models) by 3D analysis and to recognize the agreement and disagreement between them. 2.
2. To understand the significance and limitations of mechanics of materials models, and to acquire 2D and 3D CAE analysis methods.
- To learn CAE methods based on the finite element method and to understand deformation and stress.
- To be able to explain the analysis method of finite element analysis.
- To be able to perform stress analysis and coupled behavior analysis using commercially available software and to quantitatively evaluate deformation phenomena using CAE.
| Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
|---|---|---|---|
| 1. | Overview of the finite element method Structural analysis Components and types Engineering simulation Matrix structural analysis |
Contents of Chapter 1 | 190minutes |
| 2. | Matrix structural analysis Matrix structure analysis of a spring |
Chapter 2, Section 2.1. | 190minutes |
| 3. | Matrix structural analysis Matrix analysis of a truss |
Chapter 2, Section 2.2. | 190minutes |
| 4. | Finite element method for one-dimensional elastic bodies Dynamics of 1D elastic bodies |
Chapter 3, Section 3.1. | 190minutes |
| 5. | ３．1次元弾性体の有限要素法 ・1次元弾性体の有限要素法 |
第3章3.2節の内容 | 190minutes |
| 6. | Midterm exam and explanation | Review of lessons 1 through 5 and midterm exam | 190minutes |
| 7. | Finite element method for two-dimensional elastic bodies Concept and notation of tensor Dynamics of two-dimensional elastic bodies |
Chapter 4, Sections 4.1 - 4.2. | 190minutes |
| 8. | Finite element method for two-dimensional elastic bodies Finite element method for two-dimensional elastic bodies |
Chapter 4, Section 4.3. | 190minutes |
| 9. | Two-dimensional isoparametric elements Four-node isoparametric quadrilateral elements 8-node isoparametric quadrilateral elements |
Chapter 5, Sections 5.1-5.2. | 190minutes |
| 10. | Two-dimensional isoparametric elements Triangular first-order elements using area coordinates Six-node isoparametric triangular quadratic element with area coordinates Numerical examples of the approximate performance of quadrilateral and triangular elements |
Chapter 5, Sections 5.3 to 5.5. | 190minutes |
| 11. | 3-D isoparametric elements | Contents of Chapter 6 | 190minutes |
| 12. | Simulation analysis of commercially available software Finite element method for beams |
Refer to handouts, write reports | 190minutes |
| 13. | Simulation analysis of commercially available software Consideration of the analysis results of the finite element method for beams |
Refer to handouts, write reports | 190minutes |
| 14. | Final exam and explanation | Review of lectures 7 to 13 and final exam | 190minutes |
| Total. | - | - | 2660minutes |
| Report | midterm examination | final exam | Total. | |
|---|---|---|---|---|
| 1. | 0% | 20% | 20% | 40% |
| 2. | 0% | 20% | 20% | 40% |
| 3. | 20% | 0% | 0% | 20% |
| Total. | 20% | 40% | 40% | - |
There will be a report (20 points), a mid-term exam (40 points), and a final exam (40 points), for a total of 100 points.
The report will be divided into two parts.
Of the 100 points, 60 points will be considered a passing grade. The criterion for passing this course is to be able to understand the analysis methods of the finite element method. In addition, the student should be able to calculate stress and strain using the finite element method.
Of the 100 points, 60 points will be considered a passing grade. The criterion for passing this course is to be able to understand the analysis methods of the finite element method. In addition, the student should be able to calculate stress and strain using the finite element method.
The following is a list of planned textbooks.
Nonlinear CAE Association (ed.), Finite Element Method Learning by Example, Morikita Publishing Co. in Japanese
Nonlinear CAE Association (ed.), Finite Element Method Learning by Example, Morikita Publishing Co. in Japanese
- Available on Thursdays from 12:30 to 1:00 p.m.
- Course that cultivates a basic problem-solving 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 : Fri Mar 18 22:05:07 JST 2022