ME 133: Mechanical Vibrations (3 units)
CATALOG DESCRIPTION
An introduction to the theory of mechanical vibrations
including topics of harmonic motion,
resonance, transient and random excitation,
applications of Fourier analysis and convolution methods.
Multidegree of freedom discrete systems including
principal mode, principal coordinates and Rayleigh's principle.
COURSE PREREQUISITES
104.
TEXTBOOK(S) AND/OR OTHER REQUIRED MATERIAL
Principles of Vibration, 2nd Ed, by Benson H. Tongue
COURSE OBJECTIVES
Introduce basic aspects of vibrational analysis,
considering both single and multi-degree-of-freedom systems.
Discuss the use of exact and approximate methods
in the analysis of complex systems.
Familiarize students with the use of MATLAB as
directed toward vibration problems.
DESIRED COURSE OUTCOMES
Upon completion of the course students shall be able to:
Derive the equations of motion for vibratory systems.
Linearize nonlinear systems so as to allow a linear vibrational
analysis.
Compute the natural frequency (or frequencies) of vibratory systems and
determine the system's modal response.
Determine the overall response based upon the
initial conditions and/or steady forcing input.
Design a passive vibration absorber to ameliorate
vibrations in a forced system.
TOPICS COVERED
Single DOF vibrations - free and forced.
Periodic, Non-sinusoidal signals.
Multi DOF vibrations - free and forced.
Continuous systems - free and forced.
CLASS/LABORATORY SCHEDULE
Three hours of lecture per week.
CONTRIBUTION OF THE COURSE TO MEETING THE
PROFESSIONAL COMPONENT
This course contributes primarily to the students'
knowledge of engineering topics and does
not provide hands-on design experience.
There is a component of experimentation through
individual simple spring-mass experiments. These are
explicative in nature though and do not involve synthesis.
Manufacturability and health and safety issues
are considered throughout the course as they apply to the topics addressed.
RELATIONSHIP OF THE COURSE TO ABET PROGRAM OUTCOMES
This course will improve toward students having:
An ability to apply knowledge of mathematics, science, and engineering;
an ability to identify, formulate, and solve engineering problems;
a recognition of the need for, and an ability to engage in life-long learning;
an ability to use the techniques, skills, and modern
engineering tools necessary for engineering practice.
ASSESSMENT OF STUDENT PROGRESS TOWARD COURSE OBJECTIVES
Homework assignments on a weekly basis.
Multiple quizzes (every two weeks).
Final examination.
PERSON(S) WHO PREPARED THIS DESCRIPTION:
Benson Tongue
