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14.1 Variational Formulation for 1D Finite Element

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第1週課程介紹線上觀看MP4下載
Chapter 1 Introduction
1.1 Basic Description
1.2 Historical Background
1.3 Specific Application		線上觀看MP4下載
第2週Chapter 2 Matrix Algebra
2.1 Definitions
2.2 Addition and Subtraction
2.3 Multiplication
2.4 Determinant
2.5 Inverse Matrix		線上觀看MP4下載
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		線上觀看MP4下載
第3週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		線上觀看MP4下載
Chapter 3 Direct Approach: Axial Springs
3.4 Boundary Conditions
3.5 Examples		線上觀看MP4下載
第4週Chapter 4 Direct Approach: Bar Structures
4.1 Bar Structures
4.2 Element Equation
4.3 Assembly
4.4 Element Force		線上觀看MP4下載
Chapter 4 Direct Approach: Bar Structures
4.5 Examples		線上觀看MP4下載
第5週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		線上觀看MP4下載
Chapter 5 Direct Approach: Truss Analysis
5.6 Examples		線上觀看MP4下載
第6週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		線上觀看MP4下載
第7週Chapter 7 Convergence Criteria
7.1 Convergence Criteria
7.2 Rate of Convergence
7.3 Pascal’s Triangle
7.4 Elementwise Approximation Procedure		線上觀看MP4下載
第8週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		線上觀看MP4下載
第9週Chapter 8 Beam and Frame Analysis
8.5 The Frame Element Equation in Global Coordinates		線上觀看MP4下載
Chapter 8 Beam and Frame Analysis
8.6 Examples		線上觀看MP4下載
第10週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		線上觀看MP4下載
Chapter 9 Principle of Minimum Total Potential Energy
9.4 Element Stiffness Matrix of a Beam		線上觀看MP4下載
第11週Chapter 10 Isoparametric Formulation and Numerical Integration
10.1 Isoparametric Formulation – Element stiffness matrix		線上觀看MP4下載
Chapter 10 Isoparametric Formulation and Numerical Integration
10.2 Gauss Quadrature		線上觀看MP4下載
第12週Chapter 11 Strong and Weak Formulations
11.1 Strong Form of One-Dimensional Heat Equation		線上觀看MP4下載
Chapter 11 Strong and Weak Formulations
11.2 Strong Form of Axially Loaded Elastic Bar		線上觀看MP4下載
Chapter 11 Strong and Weak Formulations
11.3 Strong Form of Flexible String		線上觀看MP4下載
第13週Chapter 11 Strong and Weak Formulations
11.4 Weak Form of One-Dimensional Heat Flow		線上觀看MP4下載
Chapter 11 Strong and Weak Formulations
11.5 Advantages of the Weak Formulation Compared with the Strong Form		線上觀看MP4下載
第14週Chapter 12 Weighted Residual Methods
12.1 Weighted Residual Method		線上觀看MP4下載
12.2 Point Collocation Method線上觀看MP4下載
Chapter 12 Weighted Residual Methods
12.3 Subdomain Collocation Method
12.4 Least-Squares Method
12.5 The Galerkin Method		線上觀看MP4下載
第15週Chapter 13 Finite Element Formulation
13.1 FE Formulation of One Element		線上觀看MP4下載
13.2 Axially Loaded Elastic Bar線上觀看MP4下載
第16週Chapter 14 Variational Method for One-Dimensional FE Formulation
14.1 Variational Formulation for 1D Finite Element		線上觀看MP4下載
14.1 Variational Formulation for 1D Finite Element線上觀看MP4下載
第17週Chapter 15 Guidelines for Finite Element Mesh and Global Nodal Numbering
15.1 FE Mesh
15.2 Method of Solution		線上觀看MP4下載
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