ME375
COURSE PROJECT
2021-2022
2
Course Project Guidelines
System Modeling and Analysis
ME 375
25%
Semester: Spring 22
Contents
I. Introduction .......................................................................................................................................... 3
II. Learning Outcomes ............................................................................................................................... 3
III. Project Summary (Scenario) ................................................................................................................. 3
IV. Deliverables & Project Management .................................................................................................... 6
V. Plagiarism .............................................................................................................................................. 7
VI. Marking Scheme ................................................................................................................................... 7
3
I. Introduction
This project is intended to demonstrate students’ ability to analyse vibration and control systems based
on specified requirements applying the knowledge they learned from the class. In addition to applying
technical knowledge in a ‘real world’ project, this would demonstrate the students’ ability to conduct
group research, teamwork, technical data interpretation, report writing and project management skills.
Accordingly, students are required to formulate groups of 3 members.
II. Learning Outcomes
The project covers the learning outcomes described in the course syllabus (Refer to the syllabus for more
details) and concentrate mainly in the application of the following experiences:
Develop an understanding of dynamic behavior of a structure (1)
Foster effective mathematical and graphical communication skills (3)
Function on teams (5)
III. Project Summary (Scenario)
You are asked to study and analyze the Airbus A320 wing shown in figure 1 and figure 2. Your objective is
to develop a first-order spring-mass system which consists of a spring and a mass element that model the
left wing of the A320 aircraft.
Apply the System Modeling and Analysis knowledge to simplify the real mechanical system to make an
idealized model (develop the kinetic diagram of the wing), interconnected elements in the mechanical
model, apply physical laws such as Newton’s laws and the conservation of energy, evaluate the natural
frequency of the wing in 2 configurations.
To succeed your mission you should complete the dynamic analysis as mentioned in Deliverable 1.
Consider/Assume:
The Airbus A320 is equipped with a 2 tons weight CFM56-5B Jet Engine.
The wing as a rectangular profile.
4
Figure 1: Airbus A320
Figure 2: Airbus A320 Main Dimensions.
5
Deliverable 1:
1. Describe the problem without add ...
2. Semester: Spring 22
Contents
I. Introduction
...............................................................................................
........................................... 3
II. Learning Outcomes
...............................................................................................
................................ 3
III. Project Summary (Scenario)
...............................................................................................
.................. 3
IV. Deliverables & Project Management
...............................................................................................
..... 6
V. Plagiarism
...............................................................................................
............................................... 7
VI. Marking Scheme
...............................................................................................
.................................... 7
3. 3
I. Introduction
This project is intended to demonstrate students’ ability to
analyse vibration and control systems based
on specified requirements applying the knowledge they learned
from the class. In addition to applying
technical knowledge in a ‘real world’ project, this would
demonstrate the students’ ability to conduct
group research, teamwork, technical data interpretation, report
writing and project management skills.
Accordingly, students are required to formulate groups of 3
members.
II. Learning Outcomes
The project covers the learning outcomes described in the
course syllabus (Refer to the syllabus for more
details) and concentrate mainly in the application of the
following experiences:
(1)
skills (3)
4. III. Project Summary (Scenario)
You are asked to study and analyze the Airbus A320 wing
shown in figure 1 and figure 2. Your objective is
to develop a first-order spring-mass system which consists of a
spring and a mass element that model the
left wing of the A320 aircraft.
Apply the System Modeling and Analysis knowledge to simplify
the real mechanical system to make an
idealized model (develop the kinetic diagram of the wing),
interconnected elements in the mechanical
model, apply physical laws such as Newton’s laws and the
conservation of energy, evaluate the natural
frequency of the wing in 2 configurations.
To succeed your mission you should complete the dynamic
analysis as mentioned in Deliverable 1.
Consider/Assume:
-5B
Jet Engine.
4
5. Figure 1: Airbus A320
Figure 2: Airbus A320 Main Dimensions.
5
Deliverable 1:
1. Describe the problem without addressing any possible
solutions – Problem definition.
2. Conduct research to complete properly any missing data or
dimension and draw the
sketch of the A320 wing with dimensions.
3. Create a simplified kinetic diagram of the wing indicating
different stiffness expression
and mass value.
4. Consider two studies to define the mass value:
a. The fuel tank is full,
b. The fuel tank is almost empty.
Useful link: https://www.youtube.com/watch?v=Cy3HnP6nf0c
6. 5. Conduct research and gather information to determine the
materials used.
6. Show the properties of the selected material in a table.
7. Consider the wings as fixed at the fuselage and apply
required System Modeling and
Analysis:
a. Write the equation of motion,
b. Find the Laplace domain equation with inserting the given
parameters,
c. Calculate the natural frequency of the system,
d. Assume the Initial Conditions,
e. Find time domain using inverse Laplace transform.
8. Explain how individual members have contributed using a
Gantt chart.
Deliverable 2:
1. A PowerPoint presentation of the Deliverable 1 – each
member to reflect their own
contribution and how they have collaborated with team
members.
7. https://www.youtube.com/watch?v=Cy3HnP6nf0c
6
IV. Deliverables & Project Management
Deliverables Deadline Method of Delivery Grade
Allocated
Groups of 3 students should be
formed with one team leader
and names submitted to the
instructor.
Apr. 7th
2022
Deliverable 1
Report
A report (10 to 15 pages)
describing your work based on
8. the project requirements
mentioned above.
May 10th
2020
(midnight)
Upload the final report
(typed in a word
document / only
equations can be
handwritten) on Moodle
on the specified link
15%
Deliverable 2
Presentation
Power Point slides and a short
presentation describing your
work in 5 minutes max.
9. Week 14 Upload the Power-Point
presentation on Moodle
and individual in class
discussion during W14
(lecture time)
10%
Total 25%
7
V. Plagiarism
submitted, the Instructor has the right
to ask the student to verify her/his work. This can be done
through, but not limited to, oral
examination or discussion, or any other action deemed
necessary. If the student fails to prove the
authenticity of the work, then the Instructor will apply the
academic misconduct rules as
10. mentioned in the AUM Student Handbook which may include
awarding the work a zero grade.
work - unless you can demonstrate
that you have taken reasonable precautions against copying.
refer to the undergraduate AUM
Student Handbook.
VI. Marking Scheme
Deliverables 90-100% 80-90% 60-80%
D1 Outstanding
study and a
full design
report which
includes all
elements
Satisfactorily
written report
includes all
elements
Poorly written
report
includes some
of the
elements
11. D2 Excellent
presentation,
answered all
questions
Satisfactory
presentation ,
answered
most questions
Weak
presentation,
answered
few/no
questions
Chapter 13 Linear Optimization
Instructions: Please submit your work in one single Excel file
with one tab/worksheet for each problem.
1. (50 points) Rosenberg Land Development (RLD) is a
developer of condominium properties in the Southwest United
States. RLD has recently acquired a 40.625-acre site outside
Phoenix, Arizona. Zoning restrictions allow at most eight units
per acre. Three types of condominiums are planned: one-, two-,
and three-bedroom units. The average construction costs for
each type of unit are $450,000, $600,000, and $750,000,
respectively. These units will generate a net profit of 10%. The
company has equity and loans totaling $180 million dollars for
this project. From prior development projects, senior managers
have determined that there must be a minimum of 15% one-
bedroom units, 25% two-bedroom units, and 25% three-bedroom
units.
a. Develop a mathematical model to determine how many of
12. each type of unit the developer should build.
b. Implement your model on a spreadsheet and find an optimal
solution.
2. (50 points) Kelly Foods has two plants and ships canned
vegetables to customers in four cities. The cost of shipping one
case from a plant to a customer is given in the following table.
PlantCustomer
Chicago
Cincinnati
Indianapolis
Pittsburgh
Akron
$1.70
$2.30
$2.50
$2.15
Evansville
$1.95
$2.35
$1.65
$2.95
The plant in Akron has a capacity of 3,500 cases per week, and
the Evansville plant can produce 4,000 cases per week.
Customer orders for the next week are as follows:
Chicago: 1,200 cases
Cincinnati: 2,000 cases
Indianapolis: 2,500 cases
Pittsburgh: 1,400 cases
Find the minimum cost shipping plan.