Physics 482
Acoustics II: Sound and Vibration
Spring 2005
Text: Handouts, journal articles, library reserves
Description
The course is intended to be an introduction into the theory of vibration
and structural acoustics. Some applications will be introduced, however,
the emphasis of this course is understanding the physics behind the equations.
Any sufficiently advanced technology is
indistinguishable from magic.
- Arthur C. Clarke
We will tear off the curtain to understand
the magic. The course will develop from the simplest oscillator to
build in increasingly complexity. The topics, roughly one per week,
are:
- 1-dof oscillators, mass-spring-dashpot (MSR) systems, vibration isolation
- Assemblies of lumped-element systems: mechanical, acoustical, and
electrical equivalent circuits, loudspeaker design
- Coupled oscillators, multiple-dof systems, modal analysis
- Infinite-dof systems: 1-d string, 2-d membrane
- Infinite-dof systems with shear stiffness: 1-d beam, 2-d plate
- Vibration isolation, part II: walls, barriers, transmission and insertion
loss
Several themes will carry through the term.
To master the material, you should be cognizant of these:
- We model reality with simple structures.
- The physics of these simple models is described directly through governing
equations.
- The governing equations are amenable to analytic solutions (most from
differential equations theory). Those that aren't are often approached
numerically, with computational methods such as finite difference or finite
element analysis.
- These analytic solutions are often in terms of families of solutions
(like modes of a structure), which must be tied back to reality with understanding,
and, sometimes, art.
Course Resources
The primary resource is the lecture. Attendance will be informally
recorded (see Student Performance below). Participation in class time
will also be reflected in your performance on homework and tests. There
is no hope for those who do not show initiative!
Additional resources will be assigned as needed. These include journal
articles, sections of texts placed on reserve, and so on. YOU MUST
COME TO CLASS PREPARED or this class will fail.
Student Performance
Students will earn their grade for the course
through the following categories:
- Homework Sets 40%
- Lab Worksheets 20%
- Weekly Updates 10%
- Team Presentations (two per term) 20%
- Unit Tests 10%
Homework Sets. These will be assigned almost weekly, with
eight throughout the term. You may assist each other with these problems,
but identical work will be rejected. Make the solutions your own by carefully
explaining the solutions your own way.
Lab Worksheets. There will be
six opportunities for us to go into the lab (or work on equipment in the
classroom). Each time, you'll have a little worksheet to complete and
turn in. The first part of the worksheet (Prelab Exercise) must be
completed prior to coming to class on lab day. These are due that day
in class, or may be turned in the next class day.
Weekly Updates. These are weekly summaries of the course to help
you organize the material. Turn them in every Monday at the beginning
of class. The format: An introductory paragraph will explain
the big idea(s) from the week. Then an outline will assemble the items
by topic -- this may not be chronological! Combine the material as
you see it, but try to be thorough and well-organized. Finally, a closing
paragraph will discuss applications of the theory, subtle mathematical techniques
used, and any other details you'd like to record. These will be evaluated
for both clarity (be concise!) and thoroughness. In other words, they
shouldn't be too short nor too long! In addition to your grade on these,
you may also receive a personal evaluation of your performance in class.
Team Presentations. Twice in the term,
groups of three (chosen by the instructor) will make a presentation of how
others are deploying this theory in industry or science. Typically,
you and your group will tear apart an article of your choosing, understand
what the problem and solution were, and present it to the group. The
deliverables will be a power point presentation, with complete notes, and
the presentation to the class. Your peers will evaluate the presentation,
and you will evaluate your own group work.
Unit Tests. The Unit Tests will
be the main vehicle to demonstrate your individual understanding. These
will be completed in class, and will cover roughly two or three homework
assignments' worth of material. These are very concept-oriented, and
will be written without book, notes, or other resources.
Course Policies
This syllabus represents a form of contract between the instructor and student,
and may be amended as needed with appropriate notice (email and/or class
announcement). On your first homework assignment, please record the
number of of people in the groups for team presentations. This will
let me know that you've at least looked at this document!
The highest level of academic integrity is expected from all students. You
may not represent the work of another as your own. The Kettering University
Code of Academic Integrity (in the student handbook) will be observed. Evidence
of violation of this code will be transferred to the office of Student Affairs,
and may result in a score of zero on the assignment.
The classroom and my office are designed to be safe places to develop understanding.
If any situation arises that compromises that safe environment, please
let me know - or you may talk to Dr. Bahram Roughani if you prefer. Harassment
and discrimination on the basis of race, creed, gender, physical disability,
and ethnicity will not be tolerated. Distracting and disruptive behavior,
including excessive talking, will be stopped. As your teacher, I respect
your desire for the best education possible. Please let me know if
you need anything to accomplish your best work.