EML4220 - Vibrations
Fall 2012
COURSE INSTRUCTORS AND TEACHING ASSISTANTS
Instructor: Anil V. Rao
Office: MAE-A Room 314
Office Hours: Tuesday and Thursday Period 4 (10:40 AM to 11:30 AM)
E-mail: anilvrao@ufl.edu
Tel: (352) 392-5523 (office)
Teaching Assistant: Michael Patterson
Office: MAE-A Room 304
Office Hours: Monday and Wednesday 9:00 AM to 10:30 AM
E-mail: mpatterson@ufl.edu
Tel: (305) 394-2611 (cell)
COURSE CATALOG DESCRIPTION
Single and multiple degree-of-freedom systems, including application to mechanical systems with problems employing computer techniques.
PREREQUISITES
EGM 3400 or EGM 3401, CGS 2425, EGM 352 and EGM 4313.
LECTURE NOTES
A set of typeset lecture notes that will be used as the basis of much of the material can be found by clicking here.
TEXTBOOKS
1. Recommended Textbook: Rao, A. V., Dynamics of Particles and Rigid Bodies: A Systematic Approach, Cambridge University Press, 2006. Click here for electronic version of book. Click here for the solution manual.
2. Required Textbook: Inman, D., Engineering Vibration, 3rd Edition, Prentice-Hall, 2007
COURSE OBJECTIVES
The objective of this course is to provide a rigorous introduction to single and multiple degree-of-freedom vibrating systems. In order to fulfill these objectives, this course will provide (1) a review of Newtonian and Eulerian dynamics; (2) solution methods for first- and second-order linear differential equations; (3) linear algebra techniques; and (4) application of differential equations and linear algebra to problems in mechanical vibrations.
ASSIGNMENTS
The assignments in this course are not collected and are not graded. The problems shown below are provided for you to do at your own pace as the material in the course is covered. Please do not hesitate to ask the course instructor or the teaching assistant for help.
Problems from Book 1
- Chapter 1: Read Entire Chapter
- Chapter 2: 2-1, 2-2, 2-3, 2-4, 2-5, 2-6, 2-8, 2-10, 2-13, 2-15, 2-17, 2-18, 2-19, 2-20, 2-23
- Chapter 3: 3-1, 3-2, 3-3, 3-4, 3-5, 3-7, 3-9, 3-11, 3-12, 3-13, 3-14, 3-17, 3-18, 3-19, 3-22, 3-23, 3-25, 3-27, 3-28, 3-30
- Chapter 4: 4-1, 4-4, 4-7, 4-12, 4-13, 4-14, 4-15, 4-16, 4-17, 4-21, 4-22
- Chapter 5: 5-2, 5-3, 5-4, 5-5, 5-7, 5-8, 5-10, 5-11, 5-12, 5-16, 5-17, 5-19, 5-21, 5-22, 5-25
Problems from Book 2
- Chapter 1: 1.5, 1.6, 1.16, 1.18, 1,22, 1.25, 1.26, 1.29, 1.31, 1.40, 1.43, 1.50, 1.55, 1.56, 1.62, 1.69, 1.72, 1.83, 1.89, 1.90
- Chapter 2: 2.7, 2.14, 2.15, 2.29, 2.30, 2.31, 2.37, 2.40, 2.41, 2.50, 2.53, 2.57
- Chapter 3: 3.1, 3.6, 3.8, 3.11, 3.14, 3.15, 3.18, 3.28
- Chapter 4: 4.12, 4.28, 4.36, 4.46, 4.47, 4.48, 4.49, 4.67, 4.71, 4.72, 4.74
Exams: Two Exams @ 50 Percent Each.
- Exam 1: Wednesday 17 October 2012 from 8:20 PM to 10:10 PM in Larson Hall Room 310
- Exam 2: Monday 3 December 2012 from 8:20 PM to 10:10 PM in Larson Hall Room 310
Grading Scale
- A: 94 to 100
- A-: 90 to 93.99
- B+: 85 to 89.99
- B: 80 to 84.99
- B-: 75 to 79.99
- C+: 70 to 74.99
- C: 65 to 69.99
- C-: 60 to 64.99
- D: 55 to 59.99
- D-: 50 to 54.99
- E: <= 49.99
Grading Policies
- Make-up exams are permitted only if you are ill and have a valid note from a physician that you were unable to take the exam.
- Grading scale shown are the highest numerical cutoffs, but, if deemed appropriate, the numerical cutoffs may be adjusted to lower values (e.g., the cutoff for an “A-“ may be adjusted to value lower than the “90” shown in the table above).
Policy on Cheating
- Homework is worth zero and you may work on it any way you choose.
- I have zero tolerance for cheating on exams. Anyone found to have cheated will receive an automatic “E” in the course and the violation will be reported to appropriate authorities at the University of Florida.
