ME/AE 455 555/CE 512

Mechanical Vibrations and Control

Fall 2012

 

Instructor:  Prof. Ç. Çetinkaya, Dept. of Mechanical and Aero. Engineering

Office Hours: Tue: 11:00-12:00, Wed: 9:00-12:00, and Th: 11:00-12:00

 

Course Syllabus (PDF)

Class Notes

Homework Assignments: Solutions

Old Homework Assignments

Old Exam Problems and Solutions

Background Review Materials

 

 

Case Study Materials:

Case I:  Vibrational Condition Monitoring

Case II: Fracking Vibrations and Noise in Oil and Gas Exploration

 

 

Course Web Site: http://people.clarkson.edu/~ccetinka/ME455/

 

2011 Catalog Data for ME 455/AE 455: (3 credits) Fundamentals, free vibration, harmonically excited vibration, transient vibration, multi-degree freedom systems, vibration measurements, introduction to control theory, linear feedback control, vibration control, adaptive and optimal control, and numerical methods.

 

Prerequisite by Topic: ES 223 Rigid Body Dynamics

 

Textbook: D. Inman, Engineering Vibration (3rd Edition), Prentice-Hall, ISBN-10: 0132281732

ISBN-13: 978-0132281737

 

Other Reference Materials: www.khanacademy.org for review video clips on math/physics basics.

 

Instructor: Prof. C. Cetinkaya, Dept. of Mech. and Aero. Eng., CAMP 241, cetin@clarkson.edu

Office Hours: Tuesday: 11:00-12:00, Wednesday: 9:00-12:00, and Thursday: 11:00-12:00

 

Teaching Assistant(s): Alireza S. Farahani (farahaas@clarkson.edu, Office: CAMP 268 and 275) and Ajith K. Ukwattage (ukwattak@clarkson.edu, Office: CAMP 268 )

TA Office Hours: Wed: 2:00pm-4:00pm, Thurs: 10:00am-1:00pm, and Friday: 10:00am:1:00pm

TA Office Hour Meeting Place: Outside CAMP 250

Homework Drop-off/Pick-up Location: Outside CAMP 268

 

Classroom/Class Hours: CAMP 177, Tuesday 4:00-5:15 and Thursday 4:00-5:15

 

Course Learning Objective:

The main objective of this course is to provide engineering juniors and seniors with conceptual and analytical skills required for modeling and analyzing vibrating mechanical systems for design, maintenance and testing purposes. This objective supports the Clarkson ME and AE programs objectives stated in the MAE Student Handbook (see Section 4.3.2, Tables 5.1-2) and the relevant ABET Criteria.

 

Course Learning Outcomes: Engineering Content (ABET): Eng. Science: 3 credits; Eng. Design: 0 credit

 

1. Students will learn how to develop vibration models for mechanical systems using mass, stiffness and damping of mechanical systems. [ABET Criteria a, e, and g]

2. Students will gain experience in deriving governing equations from Newton's Laws of motion and energy principles. [ABET Criteria a, e]

3. Students will be able to model a vibrating mechanical system, develop and solve its governing equations in order to obtain the response of the system under various types of excitation conditions.  [ABET Criteria a, e, and k]

4. Students will learn how to interpret the response of a mechanical system and use the response information in its design and testing.  [ABET Criteria b]

 

Topical Course Outline:                                               Chapters               Approximate

Class Time

1. Vibrating Elements/Types of Motion-Excitations     Chapter 1             3-4 Lectures        

2. Free Vibration of Single-DOF systems                      Chapter 1-2                   3-4 Lectures

3. Vibration under Harmonic Excitation                       Chapter 2             4-5 Lectures

4. Vibration under General Excitation                                    Chapter 3             7-8 Lectures

5. Multi-DOF Systems                                                   Chapter 4             4-5 Lectures

6. Design for Vibration Suppression                                       Chapter 5             3-4 Lectures


Class Schedule – Outline (Subject to Change):

 

Weeks

 

Tuesday

 

Thursday

HWM Sets

Problems (Subject to Change)

1

08/28

1.1-1.3

08/30

Cont.

1

1.1, 1.3, 1.6, 1.41

2

09/4

1.4-1.8

09/6

Cont.

2

1.53, 1.54, 1.73, 1.83

3

09/11

2.1-2.2

09/13

Cont.

3

2.3, 2.9, 2.28, 2.30

4

09/18

2.3-2.4

09/20

Cont.

4

2.32, 2.33, 2.34, 2.37

5

09/25

2.4-2.7

09/27

Cont.

5

2.40, 2.53, 2.59, 2.62

6

10/2

Fall Recess

10/4

Exam 1

 

No Assignment

7

10/9

3.1-3.2

10/11

Cont.

6

3.2, 3.6, 3.8, 3.16

8

10/16

3.2-3.4

10/18

Cont.

7

3.19, 3.21, 3.28, 3.31

9

10/23

3.7-3.8

10/25

Cont.

8

3.37, 3.38, 3.46, 3.52

10

10/30

3.8-3.9

11/1

Cont.

9

3.53, 3.54, 3.55, 3.56

11

11/6

4.1-4.2

11/8

Cont.

10

4.1, 4.2, 4.3, 4.4, 4.12

12

11/13

Exam 2

11/15

4.2-4.3

 

No Assignment

13

11/20

4.3-4.4

11/22

Thanksgiving

11

4.28, 4.29, 4.31, 4.39

14

11/27

5.1-5.3

11/29

Cont.

12

Problems TBA

15

12/4

5.4-5.6 and 5.9

12/6

Cont.

 

No Assignment

16

12/10

Final Exams

12/16

Final Exams

 

No Assignment

 

Assessment (Evaluation) Methods: Points                   Date            Period                   Place

Hourly Exam 1                                 25%            10/4            In-class                 TBA

Hourly Exam 2                                 30%            11/13          In-class                 TBA

Homework Assignments                   10% 

Final Exam                              35%            TBA           TBA           TBA

 

Note:

Grad students may be asked to do additional problems in the exams and/or special assignments.

 

Important Note: All exams are cumulative.

 

Changes:

This syllabus may be subjected to some changes. If there is a planned change (e.g. exams time/place), it will be announced in class in advance.

 

Homework Assignments:

Homework problems will be assigned after completing relevant lectures. Assignments will normally be returned to the head TA (to a collection box outside his office) by 5:00pm Fridays, except announced otherwise (due to holidays, breaks, special considerations, etc.). Answers to some of the homework problems are listed in the textbook (starting at page 648). Solutions will be emailed to students. Graded homework papers will be returned by the TA (in a box outside his/her office).

 

 


 

Policies:

Examination and Homework Policy: Final grades will be determined on the basis of class average and standard deviation. No make-up examinations will be given, the percentage of missed examination points will be added to the final examination percentage for students with official excuses (explained in a letter from the office of the Dean of Students). No late homework will be accepted, since solutions to homework questions will be posted/emailed after due dates. The percentage of missed homework assignment points will be added to the final examination percentage for students with official excuses (explained in a letter from the office of the Dean of Students). All examinations are closed-book. The student can bring a formula sheet (8.5×11 in., both sides, only formulas, no other information (no text, plots, figures, drawings, problem solutions/outlines, etc.) along with her/him in each examination. No hand-held computers and/or no networkable devices (e.g. cell phones, smart phones, tablets, etc) are allowed in exam rooms. A calculator can be used in exams, however no class related data/programs/formulas are to be stored in the calculator. During examinations, no exchange of calculators is allowed.

 

Ethics: 

No form of academic dishonesty will be tolerated.

 

Attendance Policy:

The student is expected to attend all classes. An attendance sheet will be passed time to time. Attendance record may play a role for borderline cases.

 

Prepared by: C. Cetinkaya                                                                                            Date: 08/01/2012