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Course Syllabus

2141263 Dynamics and Vibrations for Nano Engineering

1. Course Number 2141263

2. Number of Credit Units 3 (3-0-6) 3. Course Name Dynamics and Vibrations

4. Faculty Engineering Department International School of Engineering 5. Semester second

6. Year 2012

7. Instructor Nopdanai Ajavakom (NAV) email [email protected] tel 02 218 6623 http://pioneer.netserv.chula.ac.th/~anopdana/263.htm

8. Conditions

I. Prerequisites: None II. Corequisites: None III. Concurrent: None 9. Course Status required

10. Curriculum Nano Engineering 11. Level Undergraduate

12. Number of teaching hours 3 Day-time Wednesdays and Fridays 3-4.30 p.m.

13. Contents

Motions of particles and rigid body in 1-dimensional, 2-dimensional space;

Kinematics of particles and rigid bodies;

Kinetics of particles and rigid bodies including

o

Newton’s second law of motion;

o

Equation of motion;

Free responses of one-degree-of-freedom mechanical systems: natural frequency and modal damping;

Forced responses of one-degree-of-freedom mechanical systems: frequency response function, steady state response, and transient response;

Engineering applications of vibration: rotating machine unbalance, base excitation;

14. Course Details I. Objectives

1) To describe motions of particles and rigid bodies using position, velocity, acceleration, and force relations

2) To write equations of motions for simple systems governing vibration of discrete mechanical systems

3) To analyze free vibration of discrete mechanical systems and determine natural frequencies of such systems

4) To determine forced responses of discrete mechanical systems under various excitation

5) To apply the fundamental knowledge in vibration to design and analyze vibration problems for various engineering applications

II. Tentative Schedule

Week Period Contents Notes

1 Jan 9 1 Syllabus and Introduction of dynamics

 Basic concepts

 Newton’s law Jan 11 2 Kinematics of particles

 Rectilinear motion

 Plane curvilinear motion

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2 Jan 16* 1 Holiday

Jan 18* 2 Holiday

3 Jan 23 1  Rectangular coordinates (x-y) HW#1

Jan 25 2  Normal and tangential coordinates (n-t)

4 Jan 30 1  Polar coordinates (r-θ) HW#2

Feb 1 2  Relative motion

5 Feb 6 1  Relative motion

Feb 8 2 Kinetics of particles

 Newton’s second law

HW#3 6 Feb 13 1  Newton’s second law (continued)

Feb 15 2  Newton’s second law (continued) 7 Feb 20 1 Plane kinetics of rigid bodies (brief)

Feb 22 2 Review

8 Feb 27 Midterm (1-4 p.m.)

9 Mar 6 1 Introduction of mechanical vibrations

Mar 8 2 Modeling HW#4

10 Mar 13 1  Newton's second law

Mar 15 2  Equations of motion (continued) HW#5

11 Mar 20 1 Free Vibration of Single-Degree-of-Freedom Systems Free responses of undamped and damped systems, natural frequency, damping ratio

Mar 22 2 Free Vibration of Single-Degree-of-Freedom Systems

12 Mar 27 1 Free Vibration of Single-Degree-of-Freedom Systems HW#6 Mar 29 2 Forced Vibration of Single-Degree-of-Freedom Systems

13 Apr 3 1  Harmonic excitation

Apr 5 2  Harmonic excitation

14 Apr 10 1  Frequency response function Apr 12 2  Applications (rotating unbalance)

15 Apr 17 1  Applications (base excitation) HW#7

Apr 19 2  Applications (vibration instrument)

16 Apr 24 1 Review

Apr 26 2 Review

17 May 1 Final (1-4 p.m.)

* holiday

III. Evaluation

1) Homework 10 pts

2) Midterm exam 40 pts 3) Final exam 40 pts

4) Quizzes 10 pts

5) Attendance 3 pts (extra) 15. Materials

1. Textbook:

a. Meriam, J. L., and Kraige, L.G., 2007, Engineering Mechanics, Dynamics, John Wiley, 6

th

Edition, SI version.

2. Additional books:

a. Inman, D., 2001, Engineering Vibration, Prentice Hall, 2nd Edition.

b. Hibbeler, R. C., 2007, Engineering Mechanics, Dynamics, 11th Edition, SI units.

c. Meirovitch, L., 2001, Fundamentals of Vibrations, McGraw Hill.

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16. ตารางสรุปวิธีการเรียนและการวัดผลการเรียนส าหรับแต่ละวัตถุประสงค์เชิงพฤติกรรม

ตาราง ก วิธีการเรียนและวัดผลการเรียนในแต่ละวัตถุประสงค์เชิงพฤติกรรม

Objectives

Teaching Method

Evaluation Home

work

Quiz Midterm Final 1. To describe motions of particles and rigid bodies

using position, velocity, acceleration, and force relations

Lecture and in class practice

X X X

2. To write equations of motions for simple systems governing vibration of discrete mechanical systems

''

X X X

3. To analyze free vibration of discrete mechanical systems and determine natural frequencies of such systems

''

X X X

4. To determine forced responses of discrete mechanical systems under various excitation

''

X X X

5. To apply the fundamental knowledge in vibration to design and analyze vibration problems for various engineering applications

''

X X

17. ความสอดคล้องระหว่างวัตถุประสงค์เชิงพฤติกรรมของวิชากับผลลัพธ์ที่คาดหวังของหลักสูตร ตาราง ข ความสอดคล้องระหว่างวัตถุประสงค์เชิงพฤติกรรมของวิชากับผลลัพธ์ที่คาดหวังของหลักสูตร

อ้างอิง ตารางแจกแจงคุณสมบัติบัณฑิตที่พึงประสงค์ของคณะวิศวกรรมศาสตร์ จุฬาฯ (ผลลัพธ์ที่คาดหวังของหลักสูตร)

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4 Objectives

คุณสมบัติบัณฑิตที่พึงประสงค์ของคณะวิศวกรรมศาสตร์ (ผลลัพธ์ที่คาดหวังของหลักสูตร)

2.1 2.2 2.3 2.4 2.5 3.1 3.2 4.1 4.2 4.3 4.4 5.1 5.2 5.3 5.4 6.1 6.2 6.3 7.1 7.2 7.3 8.1 8.2 8.3 9.1 9.2 9.3 9.4 10 .1 10 .2 10 .3 11 .1 11 .2 11 .3 12 .1 12 .2 13 .1 13 .2 13 .3

1. To describe motions of particles and rigid bodies using position, velocity, acceleration, and force relations

2. To develop equations of motion

governing vibration of discrete mechanical systems

3. To analyze free vibration of discrete mechanical systems and determine natural frequencies, mode shapes, and modal damping of such systems

4. To determine forced responses of discrete mechanical systems under various excitations

5. To apply the fundamental knowledge in vibration to design and analyze vibration problems for various engineering applications

18. Materials 3. Textbook:

a. Meriam, J. L., and Kraige, L.G., 2007, Engineering Mechanics, Dynamics, John Wiley, 6th Edition, SI version.

4. Additional books:

a. Inman, D., 2001, Engineering Vibration, Prentice Hall, 2nd Edition.

b. Hibbeler, R. C., 2007, Engineering Mechanics, Dynamics, 11th Edition, SI units.

c. Meirovitch, L., 2001, Fundamentals of Vibrations, McGraw Hill.

Referensi

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