Chapter 14 Variational Method for One-Dimensional FE Formulation, 14.1 Variational Formulation for 1D Finite Element

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週次	課程內容	課程影音	課程下載
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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