[Description]
This course consists of lectures on the fundamental theory of the finite element method and exercises in finite element analysis using computers.
[Aims]
The aim of this course is for students to acquire the ability to make practical use of the finite element method.
Students learn basic theory and practical analysis techniques of 2D elasticity finite-element method. They understand analysis precision, how to construct FEM models, and evaluation methods of the analysis result.
Elasticity, potential field, two dimensions, triangle element, isoparametric element
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | ✔ Practical and/or problem-solving skills |
Lectures in the first half of this course will be about the principles of the finite element method for 2D elestic finite element method. Lectures in the second half will be about the practical system of finite element method. Students will also learn detail of analysis methods through exercises.
Course schedule | Required learning | |
---|---|---|
Class 1 | Introduction | Do you understand the necessity of finite-element method? |
Class 2 | Fundamental theory of elastic FEM. | To understand fundamental theory of elastic FEM. |
Class 3 | principle of the virtual work. | Formulate with the principle of virtual work. |
Class 4 | Triangle element | Understand characteristics of the triangle elements. |
Class 5 | Stiffness equation | To derive the stiffness equation. |
Class 6 | isoparametric element | To understand a isoparametric element. |
Class 7 | 2D finite element method for elastic analysis | To understand principle of 2D elastic FEM analysis. |
Class 8 | axisymmetric model | To understand the axisymmetric model. |
Class 9 | Review of history | To understand the history and the concept of the method |
Class 10 | Part 1 of the formula of Euler beam element for vibration analysis | To understand the formula of Euler beam element in detail |
Class 11 | Part 2 of the formula of Euler beam element for vibration analysis | To understand the formula of Euler beam element in detail |
Class 12 | Part 1 of programing of 2D structural models using Euler elements | To understand the fundamental of programing |
Class 13 | Part 2 of programing of 2D structural models using Euler elements | To understand the fundamental of programing |
Class 14 | Vibration Analysis of 2D structural models | To understand the logic and the output of vibration analysis |
Class 15 | Summary |
For those after the 8th lecture: "Structural Dynamics ～Fundamental theories and Practical methods～", written by M. Okuma, Asakura Shoten, 2012. Note the book is written in Japanese.
Books specified by the instructor.
To be evaluated based on reports
It is required to have completed "Linear Algebra I,II (LAS.M102,LAS.M106)","Mechanics of Materials A(MEC.C201)","Engineering Mechanics(MEC.A201)".
It is preferable to have knowledge on Partial Differential Equations, Tensor, Vector Analysis.
It is required to bring a note PC in which the software Matlab is installed.