‫الجامعة اإلسالمية‬
‫كليه الهندسة‬
Islamic University
Faculty of Engineering
Department of Mechanical
Engineering
ME 3623 – MECHANICAL VIBRATIONS
COURSE SYLLABUS
TERM-451 2023-2024
A. Catalog Data
COURSE TITLE
COURSE
CODE
CREDITS
Contact Hours
Credit Hours
Theory
Practice
Mechanical vibration
ME 3623
3
3
Pre-requisites, Co-requisites
MATH 204, ME 323
The course introduces fundamentals of vibration analysis of one, two, and multi-degree-of-freedom
(DOF) mechanical systems including the effects of damping; free response; the significance of natural
modes, resonance frequency, mode shape, and orthogonality. Further students are expected to find
Eigenvalue and Eigenvector by numerical methods. Vibration absorbers and isolators; introduction
to vibration measurement. The students are expected to be able to relate the theoretical aspects
covered in the course with real-world engineering applications. At last, students are able to write
technical reports and conduct oral presentations on models designed to minimize vibrations on
mechanical components.
Course Coordinator: Dr Fitrian Imaduddin, Office: E2325
E-mail: fahmed@iu.edu.sa , Office Hours: TBA
Textbook and References
Textbook:
S.S. Rao, Mechanical Vibration, SI Edition, Prentice Hall, 2005.
References:
1. Balachandran B and Magrab E. B., Vibrations, 2nd Edition, Cengage Learning, 2009.
2. Kelly S. G, Mechanical Vibrations Theory and Applications, 2nd Edition, Cengage Learning,
2012.
C. Objectives of the Course
•
•
•
•
•
Describe the fundamentals of mechanical vibration for single, dual, and multi-DOF systems.
Use first principles to derive the mathematical models of various mechanical systems with
vibration.
Apply various techniques to address vibration and its attenuation through isolation and control.
Analyse the vibration effect through practical testing and measurement.
Relate theoretical concepts to real-world applications.
Dr. Fitrian Imaduddin
ME 3623 – Syllabus
Page 1 of 4
D. Course Learning Outcomes (CLO)
Upon successful completion of this course, students will be able to:
1. Define basic concepts of mechanical vibrations.
2. Derive analytical models from the equation of motions for free vibration of single DOF
systems.
3. Derive and analyze the damped forced vibration for single DOF systems.
4. Calculate the natural frequencies and corresponding modes shapes for two and multi-DOF
systems by numerical methods.
5. Solve and analyze vibration control via balancing, isolation, and use of tuned mass absorbers.
6. Explain the Vibration measuring instruments.
7. Write technical papers and conduct oral presentations for a teamwork-led design of a given
topic.
E. Course Contents (Weekly Lecture Plan)
Week
Dates
1
2
Lecture Topics
Course Overview
Introduction
Definitions: Resonance, Frequency,
Natural frequency, Amplitude, time
period, and beats.
Reading Materials/
Assignment Due Dates/
Quiz and Exam Dates
Obtain the Course Material from the
Google Classroom (LMS)
S S Rao and class notes
HW1 (CO1)
Elements of Vibrations: Mass, Springs
and Dampers
3
Modeling of Dynamic Systems
SDOF Free Vibrations for
rotational/translational systems,
equivalent stiffness.
4
Determination of natural frequencies
for spring-mass system and simple
pendulum
5
SDOF Forced Vibrations for
rotational/translational systems,
equivalent stiffness.
6
Laplace Transform Method to solve
Vibrations Equation of Motions
Midterm 1
7
8
Dr. Fitrian Imaduddin
S S Rao and class notes
S S Rao and class notes
Quiz 1 (CO1, CO2, CO3)
S S Rao and class notes
HW2 (CO2, CO3)
S S Rao and class notes
Computer simulations of SDOF
Vibrations
Vibration Isolations
ME 3623 – Syllabus
Midterm Exam 1 (CO1, CO2, CO3)
S S Rao, V P Singh, and class notes
Page 2 of 4
Introduction to Two DOF Vibrations
Systems: Determining natural
frequencies and mode shapes of 2DOF
Vibrations systems.
9
Multi-DOF Systems: Determining
natural frequencies for three springthree mass and pendulum system.
10
Computer Simulations of MDOF
Vibrations Systems
11
S S Rao, V P Singh, and class notes
Quiz 2: (CO5)
S S Rao and class notes
HW3 (CO4)
S S Rao and class notes
Quiz 3: (CO4)
S S Rao and class notes
12
Vibration by Mode Superposition
13
Modal Analysis Orthogonality
Vibration Control: Control of vibration
and natural frequencies; Introduction to
damping. Vibration isolation;
Vibration absorber
14
Vibration Measurement: Vibration
transducers and signal conditioning.
15
Extra Assessment: Computer
Simulations to analyze various
Vibrations Systems (CO4)
S S Rao and class notes
S S Rao and class notes
HW4 (CO5)
Term Paper: Vibration Control
Simulations (CO4,CO5, CO7)
S S Rao and class notes
Quiz 4: (CO6)
16
Final Exam
Final Exam (CO4, CO5, CO6)
F. Planned Learning Activities, Teaching Methods and Mode of Delivery
•
•
Lectures: Three hours sessions per week – face-to-face lectures, discussion, and Q & A.
Term Paper assignment on vibration control and analysis using computer simulations.
G. Assessments, Methods and Evaluation Criteria
Dr. Fitrian Imaduddin
ME 3623 – Syllabus
Page 3 of 4
Course Grading Policy
Total Number of
Assessments
Percentage of Each
Assessment (%)
Total Percentage
of Assessment (%)
SO Covered
HW
4
2.5%
10%
SO1;PI_1_3
Quiz
4
2.5%
10%
SO1;PI_1_3
Midterm
1
20%
20%
SO1;PI_1_3
Final Exam
1
30%
30%
SO1;PI_1_3
Term Paper
1
20%
20%
SO2;PI_2_3
SO3;PI_3_1
SO6;PI_6_3
*Extra course
assessment with
approval of the
department
1
10%
10%
SO6;PI_6_3
Total
100%
H. Class Policy
•
•
•
•
•
Class attendance is mandatory. You should come to the classroom before the instructor.
Latecomers will not be allowed to enter the classroom. Students who are absent for over 25%
of the class time will not be allowed to enter the final examination.
You should turn off your cellular phone before entering the classroom. You should not leave
the classroom to make or take cellular phone calls.
You should bring a notepad and/or a writing instrument to every class and take detailed notes.
You should pay attention to the instructor and participate in class discussions.
You should not do other work during class time.
I. Honor Code
Any form of cheating, plagiarism, and/or academic dishonesty will result in an "F" grade in the course.
J. Late Work and Examinations
Late assignments will not be accepted. Students who know that they are going to miss class should make
arrangements in advance. Exams will be closed-book and in-class. There will not be any make-up for
quizzes and midterm exams except the cases of hospitalization or detention.
Dr. Fitrian Imaduddin
ME 3623 – Syllabus
Page 4 of 4