Course Syllabus

Course Information：

Year-Semester Course Number Course Name Phase Credits Hours Required/Elective Instructor Class Student NO. Withdraw Note

Spring Semester
Year 2024 331812 Finite Element Analysis 1 3.0 3 ★ Hong-Chuong Tran GMT
IMMA
DME
機電外國學生專班 35 2 製科所必選課程之一/製科所、機械自動化外和機電博(含

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Spring Semester Year 2024	331812	Finite Element Analysis	1	3.0	3	★	Hong-Chuong Tran	GMT IMMA DME 機電外國學生專班	35	2	製科所必選課程之一/製科所、機械自動化外和機電博(含

Course Plan：

Instructor Hong-Chuong Tran　Office Hours

Email hctran@ntut.edu.tw

Last Updated 2023-12-17 13:32:10

Course Objective 先修課程：負責教授同意本課程介紹有限元素分析法基本原理及其在各種工程問題上之應用。 1. 有限元素分析法之基本觀念 2. 利用變分原理建立有限元素模式 3. 形狀函數及等參數元素 4. 一維問題:桿、桁架、樑及骨架等 5. 二維問題:平面應力應變及板殼問題。 6. 三維問題:一般實體 7. 有限元素分析之計算機程式處理 8. 有限元素分析於動態問題之應用 9. 相關有限元素分析套裝軟體簡介 To introduce the basic principle of the finite element analysis and its application in solving various types of engineering problems. 1. Introduction to the basic concepts of the finite element analysis 2. Formulation of the finite models through the use of variational principles 3. Shape functions and isoparametric elements 4. One dimensional problems: rod, truss, beam, frame, etc. 5. Two dimensional problems: plane stress, plane strain and plate, etc. 6. Three dimensional problems: typical solids 7. Implementation of the FEM computation by computer 8. Finite element applications in dynamic problems 9. Survey of some finite-element software systems

Course Schedule Weeks 1-2: Introduction to Finite Element Analysis (FEA) Overview of FEA Applications of FEA Introduction to MATLAB for FEA Weeks 3-4: Mathematical Foundation for FEA Review of linear algebra concepts Introduction to partial differential equations (PDEs) Basics of numerical methods Weeks 5-6: Structural Analysis with FEA One-dimensional (1D) elements and problems Two-dimensional (2D) elements and problems Introduction to structural mechanics Weeks 7-8: Mesh Generation and Preprocessing Basics of mesh generation Mesh quality and refinement Introduction to preprocessing in FEA Weeks 9-10: MATLAB Programming for FEA Basics of MATLAB programming Solving linear algebraic equations in MATLAB Developing FEA code in MATLAB Weeks 11-12: Heat Transfer Analysis Introduction to heat transfer problems Finite element analysis for heat transfer MATLAB implementation for heat transfer problems Weeks 13-14: Fluid Dynamics in FEA Introduction to fluid dynamics problems Finite element analysis for fluid dynamics MATLAB implementation for fluid dynamics problems Weeks 15-16: Nonlinear Analysis Introduction to nonlinear problems in FEA Nonlinear material behavior MATLAB implementation for nonlinear analysis Weeks 17-18: Project and Review Final project assignment incorporating various FEA concepts Review of key concepts Preparation for final assessments

Evaluation and grading policy Homework 30% Midterm 30% Final Presentation 40%

Materials All right reserved. Do not reproduce without permission.

Foreign-language textbooks:Yes
"Programming the Finite Element Method" by I. M. Smith, D. V. Griffiths

The access to curricular consultation If students would like to consult about the course, please contact me via mail email address: hctran@ntut.edu.tw

The course corresponds to the SDGs

Note
　

Instructor	Hong-Chuong Tran　Office Hours
Email	hctran@ntut.edu.tw
Last Updated	2023-12-17 13:32:10
Course Objective	先修課程：負責教授同意本課程介紹有限元素分析法基本原理及其在各種工程問題上之應用。 1. 有限元素分析法之基本觀念 2. 利用變分原理建立有限元素模式 3. 形狀函數及等參數元素 4. 一維問題:桿、桁架、樑及骨架等 5. 二維問題:平面應力應變及板殼問題。 6. 三維問題:一般實體 7. 有限元素分析之計算機程式處理 8. 有限元素分析於動態問題之應用 9. 相關有限元素分析套裝軟體簡介 To introduce the basic principle of the finite element analysis and its application in solving various types of engineering problems. 1. Introduction to the basic concepts of the finite element analysis 2. Formulation of the finite models through the use of variational principles 3. Shape functions and isoparametric elements 4. One dimensional problems: rod, truss, beam, frame, etc. 5. Two dimensional problems: plane stress, plane strain and plate, etc. 6. Three dimensional problems: typical solids 7. Implementation of the FEM computation by computer 8. Finite element applications in dynamic problems 9. Survey of some finite-element software systems
Course Schedule	Weeks 1-2: Introduction to Finite Element Analysis (FEA) Overview of FEA Applications of FEA Introduction to MATLAB for FEA Weeks 3-4: Mathematical Foundation for FEA Review of linear algebra concepts Introduction to partial differential equations (PDEs) Basics of numerical methods Weeks 5-6: Structural Analysis with FEA One-dimensional (1D) elements and problems Two-dimensional (2D) elements and problems Introduction to structural mechanics Weeks 7-8: Mesh Generation and Preprocessing Basics of mesh generation Mesh quality and refinement Introduction to preprocessing in FEA Weeks 9-10: MATLAB Programming for FEA Basics of MATLAB programming Solving linear algebraic equations in MATLAB Developing FEA code in MATLAB Weeks 11-12: Heat Transfer Analysis Introduction to heat transfer problems Finite element analysis for heat transfer MATLAB implementation for heat transfer problems Weeks 13-14: Fluid Dynamics in FEA Introduction to fluid dynamics problems Finite element analysis for fluid dynamics MATLAB implementation for fluid dynamics problems Weeks 15-16: Nonlinear Analysis Introduction to nonlinear problems in FEA Nonlinear material behavior MATLAB implementation for nonlinear analysis Weeks 17-18: Project and Review Final project assignment incorporating various FEA concepts Review of key concepts Preparation for final assessments
Evaluation and grading policy	Homework 30% Midterm 30% Final Presentation 40%
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes "Programming the Finite Element Method" by I. M. Smith, D. V. Griffiths
The access to curricular consultation	If students would like to consult about the course, please contact me via mail email address: hctran@ntut.edu.tw
The course corresponds to the SDGs
Note