Savitribai Phule Pune University, Maharashtra (SPPU), Mechanical Engineering Semester 7, Dynamics of Machinery Syllabus

Unit - 1 Single Degree of Freedom Systems – Free Vibration

1.1 Fundamentals of Vibration Elements of a vibratory system vector representation of S.H.M.

1.2 Degree of Freedom

1.3 Introduction to Physical and Mathematical modeling of vibratory systems Bicycle Motor bike and Quarter Car

1.4 Types of Vibration

1.5 Equivalent stiffness and damping

1.6 Formulation of differential equation of motion Newton D’Alembert and energy method

1.7 Undamped free vibrations Natural frequency for longitudinal

1.8 Damping and Types

1.9 Viscous damping – over damped

1.10 Critically damped and under damped systems

1.11 Initial conditions

1.12 Logarithmic decrement

1.13 Dry friction or coulomb damping frequency and rate of decay of oscillations

Unit - 2 Single Degree of Freedom Systems – Forced Vibrations

2.1 Forced Vibrations in longitudinal and torsional system

2.2 Forced Vibration with constant harmonic excitation

2.3 Excitation due to rotating and reciprocating unbalance

2.4 Base excitation

2.6 Frequency Response to harmonic excitation

2.7 Quality Factor.

2.8 Half Power Band Width Method

2.9 Critical speed of shaft having single rotor of undamped systems

Unit - 3 Two Degree of Freedom Systems – Undamped Vibrations

3.1 Free Longitudinal Vibrations of Spring coupled system

3.2 Mode shapes and natural frequency

3.3 Matrix Method Eigen value and eigen vector for 2 DOF systems

3.4 Combined Rectilinear and angular motion

3.5 Vibration of Geared System

Unit - 4 Balancing

4.1 Introduction to Balancing

4.2 Static and Dynamic Balancing

4.3 Balancing of Rotating Masses

4.4 Balancing of a single rotating mass by a single mass rotating in the same plane.

4.5 Balancing of Several Masses Rotating in the Same Plane

4.6 Balancing of Several Masses Rotating in Different Planes

4.7 Balancing of reciprocating masses

4.8 Primary and Secondary Unbalanced Forces of Reciprocating Masses

4.9 Balancing of Single Cylinder Reciprocating Engine

4.10 Balancing of MultiCylinder Inline Engine

4.11 Balancing of Radial Engines Direct and Reverse Cranks Method

4.12 Balancing of Vengines

Unit - 5 Measurement and Control of Vibration

5.1 Need to measure vibration

5.2 Vibration Measuring Instruments

5.3 Vibrometer or vibration pickup

5.4 VELOMETER

5.5 ACCELEROMETER Acceleration Pickups

5.6 IMPACT HAMMER

5.7 VIBRATION SHAKER OR EXCITERS

5.8 Vibration Analyzer

5.9 Vibration Based Condition Monitoring

5.10 Analysis of Vibration Spectrum

5.11 STANDARDS RELATED TO VIBRATION MEASUREMENT

5.12 Human response to vibration

5.13 Vibration Control and its methods

5.14 Vibration Isolation

5.15 Active Vibration Isolation

5.16 SemiActive Isolation System ElectroRheological and MagnetoRheological Dampers

5.17 Passive Vibration Isolation

5.18 Vibration Isolators

5.19 Control of Natural Frequencies

5.20 Tuned Dynamic Vibration Absorber

5.21 Torsional Damper

Unit - 6 Introduction to Noise

6.1 Fundamentals of Noise Sound Concept

6.2 Decibel Level

6.3 Sound Pressure Level Lp

6.4 Sound Power Level Lw

6.5 Sound Intensity Level Li

6.6 Relation between sound power level and sound intensity level

6.7 Relation Between Sound Pressure Level and Sound Intensity Level

6.8 Logarithmic addition subtraction and averaging od decibels

6.9 White Noise

6.10 Noise Measurement

6.11 Sound Fields

6.12 Octave Band

6.13 Sound Reflection Absorption and Transmission

6.14 Acoustic Material and its characteristics

6.15 Noise Control

6.16 Passbynoise

6.17 Noise Environment Reverberation and Anechoic Chamber

6.18 Human Exposure to Noise

6.19 Noise Standards BIS Noise Standards