Course Outline
Course
Code
Course
Name
Credit
Hours
0130302W
In
Chinese
In
English
College
有限元素法
Aerospace
Engineering
Course Type
Department
Structural
Engineering
& Mechanics
Compulsory
Finite Element Method in Mechanical Engineering
Overall
Lectures
24
22
Labs
Computer
Course Design
1.Yes
2. No√
Course Description:
The finite element method (FEM) is a numerical method most widely used in engineering
analysis. It is also the important element in computer aided engineering. The objective of the
course is to teach students the basic principles of the FEM and the procedures to do the
structural analysis by using the FEM. The basic principles of the FEM include the formulations
of the stiffness equation for various elements, the formulation and solution method of the global
stiffness equations of the structures, etc. Through the course study, the students could perform
stress analysis of simple structures; lay a foundation for complex structural analysis as well as
for theoretical and applying research on the FEM.
Course content and Schedule
1.
Introduction:（1hr）
Course requirements；Illustrative examples by using FEM.
2.
Matrix algebra and linear equations（2hrs）
Matrices; Row and column matrices; Addition and subtraction of matrices; Scalar
multipliers; Matrix multiplication; Transpose of matrix; Special matrices; matrix partition;
orthogonal matrix; Coordinate transformation matrix; Determinant; Matrix inversion；Linear
equations; Eigen-value and eigen-vectors.
3.
Basic principles of structural analysis （2hrs）
Principle of superposition; Work done by a load system; Maxwell-Betti reciprocal theorem;
Energy theorem.
4.
Bar element and truss structural analysis（6hrs）
Trusses; Stiffness equation for a truss bar element in local coordinates; Stiffness equation for
a truss bar element oriented arbitrarily in a two-dimensional plane; Stiffness equation for a
truss bar element oriented arbitrarily in three-dimensional space; Methods of assemblage
and solution demonstrated by a three-bar truss; Some basic treatments of stiffness equations;
Examples.
5.
Beam element and frame structural analysis（4hrs）
Uniform straight beam element; Beam element oriented arbitrarily in a two-dimensional
plane (plane frame element); Application of beam elements (examples); Beam under
distributed loads.
6.
Plane stress (plane strain) elements （3hrs）
Two-dimensional elastic equations; Eight DOF rectangular plane stress and plane strain
finite element; Six DOF triangular plane stress and plane strain finite element.
7.
Numerical integration and iso-parametric element （2hrs）
Numerical integration; Curved iso-parametric elements.
8.
Illustrative examples by using a commercial finite element software（1.5hrs）
Either NASTRAN or ABAQUS.
9.
Review. （0.5hrs）
10. Final Exam. （2hrs）
Prerequisites:
Textbook
Mechanics of Materials
Finite Element Structural Analysis
Reference
Study Mode
Lecture
Mechanical engineering
Civil Engineering
Major
Aeronautical engineering
院长意见
填表人（签名）：
（签名）：
2010 年 1 月 8 日
注：课程分类为必修课、校定选修课 、院定选修课
年
月
日