Chapter 11 Strong and Weak Formulations, 11.1 Strong Form of One-Dimensional Heat Equation
| Week | Course Content | Course Video |
|---|---|---|
| Week 01 | 課程介紹 | Watch Online |
| Chapter 1 Introduction 1.1 Basic Description 1.2 Historical Background 1.3 Specific Application | Watch Online | |
| Week 02 | Chapter 2 Matrix Algebra 2.1 Definitions 2.2 Addition and Subtraction 2.3 Multiplication 2.4 Determinant 2.5 Inverse Matrix | Watch Online |
| Chapter 2 Matrix Algebra 2.6/2.7 Linear Equations 2.8 Quadratic Forms and Positive Definiteness 2.9 Partitioning 2.10 Differentiation and Integration | Watch Online | |
| Week 03 | Chapter 3 Direct Approach: Axial Springs 3.1 Axial Springs 3.2 The Element Equation 3.3 Assembly of Element Equations to Obtain the Structural Equation | Watch Online |
| Chapter 3 Direct Approach: Axial Springs 3.4 Boundary Conditions 3.5 Examples | Watch Online | |
| Week 04 | Chapter 4 Direct Approach: Bar Structures 4.1 Bar Structures 4.2 Element Equation 4.3 Assembly 4.4 Element Force | Watch Online |
| Chapter 4 Direct Approach: Bar Structures 4.5 Examples | Watch Online | |
| Week 05 | Chapter 5 Direct Approach: Truss Analysis 5.1 Truss Structures 5.2 Vector Transformation in Two Dimensions 5.3 The Element Stiffness Matrix in Global Coordinates 5.4 Assembly 5.5 Element Stress | Watch Online |
| Chapter 5 Direct Approach: Truss Analysis 5.6 Examples | Watch Online | |
| Week 06 | Chapter 6 Approximating Functions: One-Dimensional Element 6.1 Linear One-Dimensional Element 6.2 Selecting Approximation Functions for Displacements 6.3 Quadratic One-Dimensional Element 6.4 Cubic and Quartic One-Dimensional Elements | Watch Online |
| Week 07 | Chapter 7 Convergence Criteria 7.1 Convergence Criteria 7.2 Rate of Convergence 7.3 Pascal’s Triangle 7.4 Elementwise Approximation Procedure | Watch Online |
| Week 08 | Chapter 8 Beam and Frame Analysis 8.1 Beam Element 8.2 Element Equation 8.3 Examples 8.4 Beam Element Equation in Global Coordinates | Watch Online |
| Week 09 | Chapter 8 Beam and Frame Analysis 8.5 The Frame Element Equation in Global Coordinates | Watch Online |
| Chapter 8 Beam and Frame Analysis 8.6 Examples | Watch Online | |
| Week 10 | Chapter 9 Principle of Minimum Total Potential Energy 9.1 Concept of Potential Energy 9.2 Potential Energy of a Bar Member 9.3 Element Stiffness Matrix of a Bar | Watch Online |
| Chapter 9 Principle of Minimum Total Potential Energy 9.4 Element Stiffness Matrix of a Beam | Watch Online | |
| Week 11 | Chapter 10 Isoparametric Formulation and Numerical Integration 10.1 Isoparametric Formulation – Element stiffness matrix | Watch Online |
| Chapter 10 Isoparametric Formulation and Numerical Integration 10.2 Gauss Quadrature | Watch Online | |
| Week 12 | Chapter 11 Strong and Weak Formulations 11.1 Strong Form of One-Dimensional Heat Equation | Watch Online |
| Chapter 11 Strong and Weak Formulations 11.2 Strong Form of Axially Loaded Elastic Bar | Watch Online | |
| Chapter 11 Strong and Weak Formulations 11.3 Strong Form of Flexible String | Watch Online | |
| Week 13 | Chapter 11 Strong and Weak Formulations 11.4 Weak Form of One-Dimensional Heat Flow | Watch Online |
| Chapter 11 Strong and Weak Formulations 11.5 Advantages of the Weak Formulation Compared with the Strong Form | Watch Online | |
| Week 14 | Chapter 12 Weighted Residual Methods 12.1 Weighted Residual Method | Watch Online |
| 12.2 Point Collocation Method | Watch Online | |
| Chapter 12 Weighted Residual Methods 12.3 Subdomain Collocation Method 12.4 Least-Squares Method 12.5 The Galerkin Method | Watch Online | |
| Week 15 | Chapter 13 Finite Element Formulation 13.1 FE Formulation of One Element | Watch Online |
| 13.2 Axially Loaded Elastic Bar | Watch Online | |
| Week 16 | Chapter 14 Variational Method for One-Dimensional FE Formulation 14.1 Variational Formulation for 1D Finite Element | Watch Online |
| 14.1 Variational Formulation for 1D Finite Element | Watch Online | |
| Week 17 | Chapter 15 Guidelines for Finite Element Mesh and Global Nodal Numbering 15.1 FE Mesh 15.2 Method of Solution | Watch Online |
COURSE
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