1/25/2006

Mechanical Vibrations

OSU Stillwater MAE 4063.001* (CID 14366) Spring 2006

Course Objectives:

To practice techniques for translating real-life dynamic systems into mathematical models.
To obtain solutions for steady and transient vibrations.
To apply vibration criteria to design.

Expected Outcomes: Students will receive problem-solving practice encompassing:

Applying mathematical and physical reasoning to mechanics and dynamics;
Designing experiments and analyzing the data;
Designing mechanical components to meet vibrational requirements;
Cooperation with others (on design and experiment problems);
Formulating engineering problems;
Working to professional standards; and
Reporting results and conclusions appropriately.

Lectures will also include:

Understanding the broader context and impact of engineering solutions; and
Relating engineering to contemporary issues.

Some of the final assignments will cover:

Using the tools of continuing learning; and
Using the tools of engineering practice.

Class Hours: 12:30 a.m. to 1:45 Tuesday & Thursday in 207 Noble Research Center.
Spring Break: March 11 to 19, 2006.
Final Examination: 10:00 to 11:50 a.m. Tuesday, May 2, 2006; make-up exams (4:00 to 5:50 p.m. on Friday, May 5, 2006) only by prior arrangement.

Instructor: Prof. P.M. Moretti, MAE Dept., 218 EN, OSU, Stillwater, OK 74078-5016; Tel. (405)744-5903; FAX (405)744-7873; website moretti.ceat.okstate.edu/ (this is where assignments and solutions are posted); e-mail: moretti at ceat.okstate.edu. Office Hours: 10:15 a.m. to 12:00 noon TTh, or by appointment; or get help from Teaching Assistant: TBA. Please think through your questions in advance and bring your work with you.

Textbook: Peter M. Moretti, Modern Vibrations Primer, CRC Press, Boca Raton, Florida, 2000, ISBN 0-8493-2038-0.

Resources: For simulations view http://www.kettering.edu/%7Edrussell/demos.html

References: Every engineer should have access to one mathematical handbook with which he/she is familiar. Some possible choices, shelved under STUDY AIDS north of the cash registers in the Student Union Bookstore, are
— Murray R. Spiegel et al, MATHEMATICAL HANDBOOK of Formulas and Tables, Schaum's Outline Series, McGraw-Hill (edited into two different sizes, both inexpensive);
— Ronald J. Tallarida, Pocket Book of Integrals and Mathematical Formulas, CRC Press, Boca Raton, Florida (very compact and handy, and reaonably priced);
— David R. Lide, CRC Handbook of Chemistry and Physics (an expensive but encyclopedic technical source) which has an Appendix on mathematics; or
— L. Råde & B. Westergren, BETA ß Mathematics Handbook, CRC Press, Boca Raton, Florida;
If the bookstores run out, you can order any one of these handbooks from amazon.com.

Prerequisites: MAE 3723 Dynamic Systems I.

Course Content: Review of principles. Lumped-parameter analysis of multi-mode vibrating systems. Analysis techniques including classical analytical methods, matrix methods, and numerical methods. Selection and design of vibration isolation systems. Selection of vibration instrumentation. Machine dynamics, including balancing, whirl, non-linear effects, and self-excited vibrations.

Course Conduct: The course will be conducted in a traditional lecture format. Questions and class discussion relating to lectures, reading, and homework are encouraged. Civility, courtesy, and promptness are required (set your watch with time.gov).

Examinations: There will be three "one-hour" tests and one "two-hour" final. No make-up tests will be given except in extreme circumstances, and then only upon arrangement prior to the scheduled exam.

All examinations will be closed-book and closed-notes, unless otherwise announced.
Academic Dishonesty: Looking at others' papers, exchanging information, or using forbidden resources during a test is considered cheating and will result in a grade reduction in the course — to "F" for a serious infraction.

Absences: This Syllabus is tentative. Each student is responsible for obtaining changes and additional information announced in class: homework assignments, test dates, schedule changes, modifications of the Syllabus, lecture notes, etc., and for being present at all examinations.

Homework: Assignments will be due before the beginning of class on the due date; please leave it at the front of the classroom, so that you will not disrupt the class by trying to hand it in after the lecture has begun. No late homework can be accepted.

Academic Dishonesty: Handing in homework copied from others work, from files, or from stolen solutions manuals as one's own work is plagiarism, and will lead to a reduction in grade. Please note that learning through oral discussion is encouraged, but having others do your work for you is counterproductive. If you start solving a problem yourself, and then discuss it orally with others, you are learning. If you look at a file solution before you start solving the problem, you are approaching the unethical. Paraphrasing without giving a reference is still plagiarism.
You are encouraged to use Scientific WorkPlace in the CEAT computer labs in Cordell South 286, 287, & 288, or to download the inexpensive Scientific Notebook (www.mackichan.com). It will improve your work because it includes word processing which will encourage you to explain your reasoning with verbal commentary; it also includes LaTeX mathematical typesetting which will make your equations readable; and it runs the Maple Computer Algebra System in the background for manipulating matrices as you go.

Graded homework will be returned in the boxes in 209 EN. Solutions will be posted either in the second-floor hallway, opposite 208 EN, or else on the instructor's website.

Grading: We will keep track of

attendance and participation,
projects and assignments,
three one-hour tests, and
a final exam.

Each of these four component will be given a score ranging from zero to 1.00 (i.e., 100%). The semester grade will be computed from the formula w^0.125×x^0.25×y^0.375×z^0.25. For most students the result will be similar to traditional additive grading schemes, such as (2x+3y+2z)/7 minus penalty for absences. However, if you neglect and get an unusually low score in any one area, this multiplicative scheme will drag down your grade — you must participate in all four areas! The rationale is explained at moretti.ceat.okstate.edu/grading.pdf

Letter grades will be based on the distribution of scores. Courses marked with an * are approved for graduate credit. Graduate students, and last-semester undergraduates enrolled to take the course for graduate credit, will be expected to undertake special assignments.

Drop & Add Policy: Substantive lectures and semester planning begin on the very first day of class (Tuesday 1/10/2006); students adding the course late must make up the missed material through independent study. Until Tuesday, 1/17/2006, a student may drop the course with no record on his transcript. Other critical dates are listed on page 4 of the Class Schedule. Rules for grade assignment are given on pages 17 to 18 of the University Catalog. The grade of "I" will not be given to students preparing to repeat the course. A student may not drop a course in which a formal charge of academic dishonesty is pending. Other Information may be found in the Spring 2006 Syllabus Attachment and the Academic Affairs Web Page http://www.okstate.edu/acadaffr/