Please note - Swinburne University of Technology

MMSOO Manufacturing Project
No. of hours per week: six hours for one
semester plus three weeks full-time
Assessment: thesis and observed technique
A fifth-year subject in the degree of Bachelor of Engineering
(Manufacturing).
Subject aims and description
The aim of this subject is to develop the students' skills in
planning and executing a major individual project which
draws upon and integrates the wide range of skills and
knowledge acquired during the course. It is a major
component of the final year.
This subject is the major individual research project in the
course. At the end of the fourth year academic period, each
student will be given, or allowed to select, a research project
related to manufacturing engineering.
The student will be expected to make all preparations,
designs, literature surveys, during the fourth year industrial
training session. At the beginning of the final semester of
the course, the student may be required to give a short oral
presentation of the aims, objectives and experimental
method to be followed.
MM5Ol Engineering Project
No. of hours per week: one hundred and thirty
seven hours over eighteen weeks
Assessment: student seminar, technical report
and performance assessment
A fifth-year subject in the degree of Bachelor of Engineering
(Mechanical).
Subject aims and description
This subject aims:
to allow students to integrate the knowledge and skills
they have gained throughout the course into a targeted
engineering investigation with the aim of producing a
report and, if appropriate, usable equipment;
to develop individual initiative in pursuing an engineering
objective;
to plan and manage, in conjunction with a staff member,
9 - the progress of an engineering project.
F Topics are selected by students from a list prepared by
2 academic staff or students may suggest their own topic
y based on an individual's interest or industrial experience.
e. Projects may be university based or industry based. The
3
ID project may take various forms in which technology, research
.
lo
and development, experimental work, computer analysis,
industry liaison and business acumen vary in relative
significance.
MM509 Engineering Mathematics
No. of hours per week: two hours
Assessment: tutorial assignments, practical work
and examination
A fifth-year subject in the degree of Bachelor of Engineering
(Mechanical).
Subject aims and description
This subject aims to round off the student's knowledge of
mathematical methods required by practising engineers and
to place these methods into perspective through a study of
different mathematics structures used in the mathematical
modelling of engineering systems.
Section A: Mathematical Methods
Numerical Analysis
Classification of partial differential equations. Numerical
appoximation of derivatives - forward, backward and
central. Approximate solution of parabolic equations - heat
equation. Euler Method (FTCS), symmetry, Richardson's
Method (CTCS), Crank-Nicolson Method (CTCS). Stability.
Explicit and implicit. Solution by direct methods and iterative
methods. Derivative boundary conditions. Convergence,
stability and consistency. Perturbation and von Neumann
stability analysis. Convection equation, 'upwind' differencing,
Courant-Friedrichs-Lewy condition. Other methods: Dufort-
Frankel, Keller Box. 2D heat equation and the AD1 method.
Approximate solution of hyperbolic equations - wave
equation.
Elliptic boundary value problems: finite difference solution of
Laplace and Poisson equations using the five point formula.
Block tri-diagonal matrices. Existence of optimal relaxation
factor.
Parabolic problems: finite difference schemes for linear
equations in 2 and 3 dimensions with applications.
Consistency, convergence and stability. Lax's theorem. Nonlinear
source terms.
Complex Variable
Differentiation and the Cauchy-Reimann equations.
Conformal mapping. Applications.
Section B: Mathematical Modelling
The objective of this section of the subject is to develop the
students' perspective in applying the diverse mathematical
tools and techniques that they have learned in their course
to real engineering problems. The focus is on the
understanding of the optimum use of analytic methods
rather than on the techniques of numerical modelling
elsewhere.
Introductory lectures will include an overview of
mathematical tools and techniques and their use in
mathematically modelling an engineering problem. The
emphasis will be on understanding the advantages and
disadvantages of different mathematical structures in the
solution of engineering problems. For example: Which is the
"best" mathematical structure for describing the kinematics
and dynamics of robot motion? (Robot motion has been
modelled in the literature by at least 10 different
mathematical systems.)
In the main part of the section students will be assigned a
set of engineering problems, each of which may be solved
by using a variety of mathematical methods. The objective is
for students to survey the collection of mathematical tools
they have accumulated and learnt to use over their course,
to determine if there is a "best" solution method, to
compare the method with those methods applied by other
students, and to generalise their findings to help guide
future modelling activities. Students will give a seminar
presentation of their comparative results.
References
Section A
Smith, G. D. Numerical Solution of Partial Differential Equations. 3rd
ed, Oxford: Clarendon Press, 1985
Spiegel, M.R. Theory and Problems of Complex Variables. S.I. (metric)
2nd ed, N.Y.: McGraw Hill, 1974
References
Section B
Brind, L. Mor and Tensor Analysis. Wiley, 1947
Crow, M.J. A History of VPctor Analysil Repr. ed, Dover, 1985
Milne, E.A. Mctorial Mechanics Interscience, 1948
Paul, R.P. Robot Manipulatom - Mathematics, Pmgramming and
Control. l3e Computer Control of Robot Manipulators. Cambridge,
Mass.: M.I.T., 1981