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International Spring Session

ME 452: Mechanical Vibration Analysis

Term: Spring, 2025

Course Duration: Five Weeks

Contact hours: 60 hours

Number of Credits: 4

The course meets from Monday to Friday, and has 25 class sessions in total. Each class is 120 minutes in length, which means 3000 minutes in total. This course has a total of 60 contact hours, with 50 minutes equaling one contact hour.

Course Description

Free and forced vibration response of single and multiple degree of freedom systems. Experimental studies of the dynamic behavior of  structures and machines.  Instrumentation methods utilized in field.

Prerequisite: Mathematics for Engineers and Dynamics of Machinery or equivalent.

Course Learning Outcomes:

On completion of this course students will be able to:

1. Derive mathematical models for simple vibration systems.

2. Compute natural frequencies of simple systems.

3. Evaluate the response of single degree-of-freedom systems to periodic or transient force.

4. Determine critical speeds of rotating machinery.

5. Select vibration isolation systems.

6. Evaluate the effect of damping on the above systems.

7. Synthesize mathematical models of physical systems.

8. Instrument systems for vibration analysis.

9. Operate electromechanical shake tables.

10. Interpret transient and steady state vibration from a physical standpoint.

11. Compute amplitude ratios, natural frequencies, and damping ratios from experimental data.

12. Solve differential equations, both linear and nonlinear, utilizing numerical techniques on one of the local computing systems.

13. Utilize basic FFT spectral analysis equipment for vibration analysis of machinery systems and interpret results.

14. Instrument and analyze multi-degree of freedom systems. 15. Write short technical reports in a professional manner.

15. Write short technical reports in a professional manner.

Course Material


Daniel J. Inman, Engineering Vibration, 5th  Edition, Pearson.

Topics Covered

Brief review of dynamics

Natural frequencies of undamped single degree-of-freedom systems

Newtons Methods and energy methods

The effects of viscous, coulomb and hysteretic (structural) damping

Harmonic Response of single degree-of-freedom systems

Vibration isolation

Balancing of rotors

Responses to periodic and transient excitation

Use of Laplace transforms

Vibration measuring instruments

Two degree-of-freedom systems

Grading

     Assignments                                                            25%

     Midterm Exam                                                         25%

     Final Exam                                                               50%

A    93-100

B-       80-82

D+       67-69

A-    90-92

C+       77-79

D        63-66

B+    87-89

C        73-76

D-       60-62

B       83-86

C-       70-72

F         <60

Assignments

Late   homework   assignments  will    not   be   accepted,    except   for    unusual   circumstances, which should be communicated with the instructor before the due date. You can discuss the problems with your classmates but copying work is against University regulations.

Exams

There will be two exams, including a midterm exam, and a final. All examinations will be closed book and notes. The necessary formula will be provided to the students.

No  make–up  exams  will  be  given  —  if  you  have  a  legitimate  and documented  justification (medical condition), arrangements may be made in exceptional circumstances for you to take the exam somewhat earlier or later, or for a missed exam to not count towards your grade.