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Introduction to Finite Element Method
One of the main reasons for the popularity of the FE method in
different fields of engineering is that once a well known commercial FEM software package（软件包）（such as ABAQUS, CATIA, ANSYS, NASTRAN and so on）is established, it can be
The finite element method was first developed in 1956 for the analysis of aircraft structures. Thereafter, within the past decades, the potentialities of the method for the solution of different types of applied science and engineering problems were recognized.
small, interconnected subregions
called finite elements ( 单 元 ）
which are so small that the shape
Chinese Idiom: Practice makes progress. Review leads to deeper understanding.
How can we achieve “understanding”？
(1)based on knowledge (2)processed by thinking
• Discretization of Problems (问题离散化)
• Formulation of Finite Element Matrices (有限元矩阵公式的建立)
• Structure Analysis (结构分析)
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Introduction to Finite Element Method
various engineering systems.
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Introduction to Finite Element Method
Subject Objective
• The purpose of this subject is to present the necessary concepts, fundamental principles and effective techniques of the FEM， so that you can use any age comfortably to solve engineering problems.
1. Homework 2. Final Exam（Open Book）
50% 50%
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Introduction to Finite Element Method
1.1 Basic Concept of Finite Element Method
(1) A structure is divided into many
UNDERSTANDING !!! 3
Introduction to Finite Element Method What can we learn in class?
What should we learn from engineering application?
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Introduction to Finite Element Method
《Finite Element Analysis in Engineering》 Cui Deyu Xu Yuanming (北航出版社，2013)
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Reading is important for you!!
Introduction to Finite Element Method
Brief History of the FEM
Major Reference Books
《Finite Element Procedures in Engineering Analysis》 K. J. Bathe (Butterworth - Heinemann, 1999)
《The Finite Element Method》 O. C. Zienkiewicz (Butterworth - Heinemann, 2000)
• The general philosophy is to introduce the FEM
insightful but simple;
informative but concise;
and theoretical but applicable.
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Introduction to Finite Element Method COURSE ASSESSMENT
used for the solution of any problem simply by changing the input
data. At present the Finite Element Method is developed into a key
technology in the modelling and simulation (建模及仿真) of
Introduction to Finite Element Method
The Finite Element Method (FEM) in Engineering
工程中的有限元法
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Introduction to Finite Element Method
Key Words
• Virtual Work and Variational Principles (虚功和变分原理)