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Teaching & Academics
Engineering
Finite Element Analysis
The Finite Element Method (FEM/FEA)

The Finite Element Method (FEM/FEA)

Loại khoá học: Engineering

From Novice to Pro: FEA Proficiency Unleashed

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50.000 VND
69 VND
Đầy Đủ Bài Giảng
Học Online Tiện Lợi
Kích Hoạt Nhanh 2-5 Phút
Thanh toán tự động
Được phép tải xuống

Tổng quan

Nội dung khoá học

Đánh giá

Mô tả

Unlock the power of Finite Element Analysis (FEA) in structural engineering with our comprehensive course, designed to take you from theory to practical proficiency. Over 11 engaging modules, you'll delve deep into the intricacies of FEA and reinforce your knowledge through hands-on workshops. Whether you're a novice looking to start your journey or a seasoned professional seeking to refine your skills, this course has something valuable to offer at every level.


Module 1: Introduction to Finite Element Analysis

- Fundamental Concepts

- Why is FEM so important?

- Workshop 01: Building Your First Finite Element Model: Bike Crank


Module 2: Linear Elastic Spring Element

- Spring theory

- System Assembly in Global Coordinates

- Exercises

- Workshop 02:  Linear Spring Element


Module 3: Elastic Bar Element

- Bar theory

- Exercise

- Strain Energy

- Castigliano’s First Theorem

- Minimum Potential Energy

- Workshop 03: Linear Bar Element


Module 4: Truss Structures

- Nodal Equilibrium Equations

- Element Transformation

- Direct Assembly of Global Stiffness Matrix

- Boundary Conditions, Constraint Forces

- Element Strain and Stress

- Comprehensive Example

- Three dimensional Trusses

- Workshop 04: 2D Truss Structure


Module 5: Beam Element

- Elementary Beam Theory

- Beam Element

- Beam Element Stiffness Matrix

- Element Load Vector

- Work Equivalence for Distributed Loads

- Flexure Element with Axial Loading

- A General Three-Dimensional Beam Element

- Workshop 05: Beam Element


Module 6: Equations of Elasticity

- Strain-Displacement Relations

- Stress-Strain Relations

- Equilibrium Equations

- Summary


Module 7: Matrix Mathematics and Solution Techniques for Linear Algebraic Equations

- Matrix Mathematics

- Solution Techniques for Linear Algebraic Equations


Module 8: Plane Stress

- Equations of Elasticity for Plane Stress

- Finite Element Formulation: Constant Strain Triangle

- Stiffness Matrix Evaluation

- Distributed Loads

- Body Forces

- Workshop 06: Rectangular Plate with Central Circular Hole


Module 9: Plane Strain

- Equations of Elasticity for Plane Strain

- Finite Element Formulation: Four-node Rectangle

- Numerical Integration: Gaussian Quadrature

- Workshop 07: C-Clamp


Module 10: Isoparametric Formulation

- Four-node quadrilateral element

- Exercise

- Singularity of the Jacobian Matrix


Module 11: General Three-Dimensional Stress Elements

- Introduction

- Equations of Elasticity

- Finite Element Formulation

- Example: 4-node Tetrahedral

- Stress and Strain Computation

- Workshop 08: Connecting Lug


Throughout this course, you'll receive expert guidance, learn best practices, and gain practical experience to tackle real-world structural analysis challenges confidently. Don't miss this opportunity to become a proficient Finite Element Analysis practitioner and enhance your career in structural engineering. Join us today and embark on a journey toward mastering FEA.

Bạn sẽ học được gì

Uncover the theory underpinning finite element method and gain hands-on experience with commercial software, demystifying its inner workings.

Learn the foundations of finite element analysis and unlock the secrets behind commercial software, making it a transparent tool in your engineering arsenal.

Bridge the gap between theory and practice as you navigate the finite element method, enhancing your ability to decipher the mechanics of commercial software.

Equip yourself with a deep understanding of finite element theory and practical software proficiency, ensuring you're not limited by 'black box' solutions.

Yêu cầu

  • Basic Engineering Knowledge: Students should have a fundamental understanding of engineering principles, including mathematics, physics, and mechanics.
  • A Willingness to Learn: An eagerness to dive deep into the theoretical concepts and commit to hands-on practice is crucial for success in this course.

Nội dung khoá học

11 sections

Introduction

8 lectures
Introduction
13:53
Software Installation Guide
09:36
Workshop 01 - Pre-analysis
05:09
Workshop 01 - Bike Crank - Define Material and Save the Project
07:39
Workshop 01 - Bike Crank - Geometry
12:04
Workshop 01 - Bike Crank - Setup, Solution and Post-Processing
17:50
Workshop 01 - Bike Crank - Verification, Part 1
08:56
Workshop 01 - Bike Crank - Verification, Part 2
14:42

Linear Elastic Spring Element

10 lectures
Linear Elastic Spring Element
11:45
System Assembly in Global Coordinates
12:46
Exercises - Part 1
06:25
Exercises - Part 2
11:41
Workshop 02 - Problem Specification and Pre-analysis
05:42
Workshop 02 - Material and Geometry
06:23
Workshop 02 - Creating the Springs and Mesh
12:21
Workshop 02 - Applying BCs, Solving the Model and Post-processing
09:24
Workshop 02 - Verification
02:16
Workshop 02 - ANSYS Help
05:20

Elastic Bar Element

11 lectures
Elastic Bar Element
11:34
Exercise
10:56
Strain Energy
06:39
Castigliano's First Theorem
15:58
Minimum Potential Energy
09:39
Workshop 03 - Problem Specification and Pre-analysis
17:19
Workshop 03 - Creating Material
03:52
Workshop 03 - Creating the Geometry
08:01
Workshop 03 - Analysis Setup on Mechanical
20:32
Workshop 03 - Post-processing results
13:05
Workshop 03 - Verification
05:22

Truss Structures

22 lectures
Nodal Equilibrium Equations - Part 1
18:12
Nodal Equilibrium Equations - Part 2
15:50
Nodal Equilibrium Equations - Part 3
09:57
Element Transformation
15:18
Direct Assembly of Stiffness Matrix - Part 1
08:24
Direct Assembly of Stiffness Matrix - Part 2
05:59
Direct Assembly of Stiffness Matrix - Part 3
08:16
Boundary Conditions, Constraint Forces
09:50
Element Strain and Stress - Part 1
03:53
Element Strain and Stress - Part 2
15:08
Comprehensive Example - Part 1
14:59
Comprehensive Example - Part 2
13:35
Comprehensive Example - Part 3
26:42
Three dimensional Trusses - Part 1
12:41
Three dimensional Trusses - Part 2
15:36
Workshop 04 - Problem Specification and Pre-analysis
08:19
Workshop 04 - Solving using Excel
12:48
Workshop 04 - Creating Geometry
19:43
Workshop 04 - Define Material and Create Mesh
10:17
Workshop 04 - Apply Boundary Conditions and Solve the Model
15:20
Workshop 04 - Post-processing
15:08
Workshop 04 - Verification
04:34

Beam Element

29 lectures
Elementary Beam Theory - Part 1
12:44
Elementary Beam Theory - Part 2
09:37
Elementary Beam Theory - Part 3
12:47
Beam Element
15:11
Beam Element Stiffness Matrix - Part 1
10:08
Beam Element Stiffness Matrix - Part 2
11:00
Beam Element Stiffness Matrix - Part 3
15:06
Element Load Vector and Exercise - Part 1
11:55
Element Load Vector and Exercise - Part 2
13:02
Element Load Vector and Exercise - Part 3
11:12
Work Equivalence for Distributed Loads - Part 1
11:08
Work Equivalence for Distributed Loads - Part 2
06:56
Work Equivalence for Distributed Loads - Part 3
15:22
Flexure Element with Axial Loading - Part 1
11:31
Flexure Element with Axial Loading - Part 2
15:12
Flexure Element with Axial Loading - Part 3
31:04
A General Three Dimensional Beam Element - Part 1
11:26
A General Three Dimensional Beam Element - Part 2
11:59
Simple Beam Element Example on FEA Software
29:47
Workshop 05 - Problem Specification
09:17
Workshop 05 - Pre-analysis
10:10
Workshop 05 - Define Material
08:45
Workshop 05 - Define Geometry
18:23
Workshop 05 - Generate Mesh
14:23
Workshop 05 - Define Boundary Conditions and Solve
11:38
Workshop 05 - Post-processing, Part 1
13:01
Workshop 05 - Post-processing, Part 2
11:46
Workshop 05 - Post-processing, Part 3
13:33
Workshop 05 - Verification
16:17

Equations of Elasticity

7 lectures
Strain-Displacement Relations, Part 1
19:39
Strain-Displacement Relations, Part 2
15:45
Stress-Strain Relations
19:57
Equilibrium Equations, Part 1
13:05
Equilibrium Equations, Part 2
15:22
Equilibrium Equations, Part 3
13:45
Summary
02:40

Matrix Mathematics and Solution Techniques for Linear Algebraic Equations

6 lectures
Matrix Mathematics - Part 1
08:08
Matrix Mathametics - Part 2
12:33
Matrix Mathematics - Part 3
14:10
Solution Techniques for Linear Algebraic Equations - Part 1
16:44
Solution Techniques for Linear Algebraic Equations - Part 2
22:49
Solution Techniques for Linear Algebraic Equations - Part 3
14:56

Plane Stress

23 lectures
Equations of Elasticity for Plane Stress Part 1
08:57
Equations of Elasticity for Plane Stress Part 2
10:32
Equations of Elasticity for Plane Stress Part 3
08:24
Finite Element Formulation - Constant Strain Triangle - Part 1
14:46
Finite Element Formulation - Constant Strain Triangle - Part 2
11:09
Finite Element Formulation - Constant Strain Triangle - Part 3
13:38
Stiffness Matrix Evaluation
17:55
Distributed Loads - Part 1
25:55
Distributed Loads - Part 2
12:43
Body Forces - Part 1
10:44
Body Forces - Part 2
14:02
Beam Example - Part 1
13:34
Beam Example - Part 2
13:27
Beam Example - Part 3
14:19
Beam Example - Part 4
15:55
Workshop 06 - Problem Specification and Pre-analysis
11:53
Workshop 06 - Define Material and Geometry
14:04
Workshop 06 - First configurations on Mechanical
10:39
Workshop 06 - Generate Mesh
11:35
Workshop 06 - Define BCs and Solve Mathematical Model
08:17
Workshop 06 - Post-Process Results
12:01
Workshop 06 - Verification - Part 1
21:57
Workshop 06 - Verification - Part 2
23:40

Plane Strain

17 lectures
Equations of Elasticity for Plane Strain - Part 1
10:32
Equations of Elasticity for Plane Strain - Part 2
08:17
Finite Element Formulation of 4-node rectangle - Part 1
15:47
Finite Element Formulation of 4-node rectangle - Part 2
15:44
Finite Element Formulation of 4-node rectangle - Part 3
18:25
Finite Element Formulation of 4-node rectangle - Part 4
21:37
Finite Element Formulation of 4-node rectangle - Part 5
15:33
Numerical Integration - Gaussian Quadrature - Part 1
13:29
Numerical Integration - Gaussian Quadrature - Part 2
19:09
Workshop 07 - Problem Specification and Pre-analysis
18:48
Workshop 07 - Creating Geometry
09:24
Workshop 07 - Start setting up mathematical model
08:25
Workshop 07 - Finish setting up mathematical model and solve
13:57
Workshop 07 - Verification - Part 1
10:42
Workshop 07 - Verification - Part 2
12:07
Workshop 07 - Verification - Part 3
09:09
Workshop 07 - Introduction to Singularities
10:50

Isoparametric Formulation

9 lectures
Isoparametric Formulation - Four node quadrilateral element - Part 1
12:25
Isoparametric Formulation - Four node quadrilateral element - Part 2
10:32
Isoparametric Formulation - Four node quadrilateral element - Part 3
17:11
Isoparametric Formulation - Four node quadrilateral element - Part 4
15:35
Isoparametric Formulation - Four node quadrilateral element - Part 5
17:42
Isoparametric Formulation - Four node quadrilateral element - Exercise
21:24
Isoparametric Formulation - Singularity of the Jacobian Matrix
05:44
Isoparametric Formulation - Conclusion
10:28
Isoparametric Formulation - Ansys Exercise
26:30

General Three Dimensional Stress Element

11 lectures
Introduction
15:42
Finite Element Formulation
22:22
Example - 4-node tetrahedral
26:24
Stress and Strain Computation - Part 1
21:13
Stress and Strain Computation - Part 2
08:47
Workshop 08 - Pre-analysis
08:51
Workshop 08 - Create Geometry
24:27
Workshop 08 - Create Material and Mesh
13:18
Workshop 08 - Apply BCs and Solve BVP
17:48
Workshop 08 - Verificaion - Part 1
21:23
Workshop 08 - Verification - Part 2
21:09

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