# Mechanical Vibrations (ME4253)

##### Pre-requisite(s)

Engineering Dynamics (ME-2223)

##### Recommended Book(s)

1. Mechanical Vibrations, 5/E By Singiresu S. Rao, Prentice Hall

##### Reference Book(s)

1. Mechanical Vibrations : Theory & Applications By W. T. Thompson, Prentice Hall
2. Elements Of Vibration Analysis By L. Meirovitch, McGraw Hill
3. Vibration For Engineers By Endrew Dimargonas, Prentice Hall

## Course Objectives

Students will have a good understanding of the modelling of vibratory motion of mechanical systems using both single and multiple degree of freedom concepts. Students will be able to design simple vibration isolation systems. They will understand the concepts of natural frequencies and mode shapes and their significance in the solution of multiple degree of freedom problems. Students will have an introduction to the use of Laplace Transforms as a solution to differential equations of motion. They will be able to complete basic system modelling tasks. Students will acquire the ability to: (1) Formulate mathematical models of problems in vibrations using Newton's second law or energy principles. (2) Determine a complete solution to the modelled mechanical vibration problems. (3) Correlate results from the mathematical model to physical characteristics of the actual system. (4) Design of a mechanical system using fundamental principles developed in the class.

## Course Learning Outcomes (CLO)

1. CLO-1: Analyze the type of vibration (desirable or undesirable) its attributes. (C4)
2. CLO-2: Apply the knowledge to different mechanical translational, rotational and other applications (C3)
3. CLO-3: Design and analyze the system response by using the different techniques of Mechanical Vibrations with the application of mathematical modeling. (C5)

## Course Contents

• Introduction to vibrations, history and its importance               (session 01)
• Basic concept of vibrations, its classification and terminology, vibration analysis procedure  (session 01)
• Elements of vibration systems                                                     (session 03)
• Harmonic Motion                                                                         (session 03)
• Harmonic Analysis                                                                       (session 03)
• Free vibration of an undamped translational system                   (session 03)
• Free vibrations of damped Systems                                             (session 02)
• Undamped harmonically excited vibrations                                (session 01)
• Damped harmonically excited vibrations                                    (session 01)
• Forced harmonic vibrations                                                         (session 02)
• Vibration isolation                                                                       (session 01)
• Vibration measuring instruments                                                 (session 01)
• Free vibration Analysis of 2DoF undamped system                   (session 02)
• Free vibration Analysis of 2DoF damped system                       (session 02)
• Vibration Absorber and dampers                                                 (session 01)
• Vibration measurements and applications                                   (session 01)
• Free and forced vibration of uniform bar and thin beam             (session 01)
• Torsional Vibration of shaft and critical speed                            (session 01)
• Machine condition monitoring                                                     (session 02)

## Mapping of CLOs to Program Learning Outcomes

 CLOs/PLOs CLO:1 CLO:2 CLO:3 PLO:1 (Engineering Knowledge) PLO:2 (Problem Analysis) √ PLO:3 (Design Development of Solutions) √ PLO:4 (Investigation) √ PLO:5 (Modern Tool Usage) PLO:6 (Engineer & Society) PLO:7 (Environment and Sustainability) PLO:8 (Ethics) PLO:9 (Individual & Team Work) PLO:10 (Communication) PLO:11 (Project Management) PLO:12 (Life Long Learning)

## Mapping of CLOs to Assessment Modules

 Assessment Modules \ CLOs CLO:1 CLO:2 CLO:3 Assignments (10%) Quizzes (10%) Project and Presentation (10%) Midterm Exam (20%) Final Exam (50%)