MAE 4735/5735, Fall 2012
Intermediate Dynamics and Vibrations
Instructor:  Andy Ruina,    <>         
TA/grader: Patrick Moran,

This is the first in a two-course sequence. The second is Advanced Dynamics, MAE 6700. This new pair replaces the former MAE 4770/5770 (Vibrations) and the former TAM 5700 (Intermediate Dynamics). More information.


* 12/17/2012 What did you think of this course? Here are the online course evaluations and some anonymous email comments. In total this is feedback from 90% of the students. If you read these and synthesize clear simple advice, let us know.

* 12/17 Final grades:. We made a big formula that weighted homework as about 3 exam problems and the final project asabout 2 exam problems. Then we pushed up people who did relatively better on the final or who had great final projects. People in 4735 were graded more gently than those in 5735. Only a few people with relatively weak homework did well on the final exam, and for those people weak homework was forgiven. Distribution: A+(7), A(7), A-(5), B+(2), B(6), B-(6), C+(1), C(3), C-(1), D(1), Audit(3), Incomplete(2).

* 12/17 PERSONAL REQUEST: Before taking a qualifying exam or going on to another dynamics course, please master the problems on the prelims and final exam. Master them to the point where you could lecture on them with no note and answer questions about them. One approach: study the problem and solution, then master the nuances, then lecture to a friend with you at the blackboard and the friend asking questions. Please. Ask for help if you need it!

* 12/ 16 Final exam `solutions'. Joe Rogan in Kimball 210 has your final exams and other graded work you have not yet collected. If you think something was graded unfairly make sure to master the problem before asking about it.

* Old News (Many more course announcements here.)

Course information

Lectures: MWF 10:10-11, Phillips 403 (but for 6 intermediate weeks in Malott 253). Please sit in front, densely packed.
Office hours: Andy: Mondays 2:30-3:30, Tuesdays 1:50 - 3:50 in Thurston 102 (The Conway Room)
                       Pat:    Thursdays 5PM - 6PM in Upson 109.
Syllabus and Homeworks
, ever evolving. (See also ABET Syllabet and Coverage)          
Homework policy and exam schedule
Exams and grading
: Grade determined by homeworks, project, prelims and final exam by means that will be determined at the end of the semester.
                                  Prelims: Thursday Oct 11, 7:30 - 10 PM, Kimball B11,  Prelim 1,   solution
                                                 Thursday Nov  8, 7:30 - 10 PM, Phillips  203,  Prelim 2,   solution (code for prob 2 in Matlab samples)
                                  Final:      Monday Dec 10 from 9:00 - 11:30 AM. Phillips Hall 21   Final too long, sorry :-(,   solution

Main Resources 

1. Background mechanics for this class: Ruina & Pratap
2. Class notes (5 MB), taken by a student in fall 2012
3. Textbook: Dan Inman, Engineering Vibration, Pearson, 3rd Edition.
                      (Dynamics content from notes and books on reserve, no required text)
4. You need Matlab ($) or Octave (free) running on your computer (comparison between the two).
5. Some MATLAB examples.
6. Any Matlab Primer, say Pratap.
7. Some ME and TAM Dynamics Qualifying Exam questions: doc 1, doc 2, doc 3, doc 4
8. Homework "solutions": 1, 2, 3, 4, 5 , 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34
    (From students, no guarantees on completeness or correctness).

MoreVibrations material 

9. J.P. Den Hartog, Mechanical Vibrations, Dover reprint. (Universally praised by the pros)
10. Matlab Engineering Vibrations Toolbox (free).
11. ME 4770/5770 Engineering Vibrations, Rand notes etc Spring 2012 (4770 is no longer offered.)

More Mechanics material 

11. A book on Dynamics at a higher level than Ruina and Pratap, e.g. Greenwood.
12. Dennis Bernstein's online book. Bernstein is compulsive about clear notation for reference frames etc.
13. Murray, Li and Sastry, A Matematical Introduction to Robotic Manipulation, 1994. Another rather formal approach.
14. Dave Baraff's Physically based modeling notes.

email to Andy Ruina <>
Updated on Jan 4, 2013)