Theory of Machines

Teacher

Dr.P.S.V.RamanaRao

Category

Core Courses

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Theory of Machines

CUTM 1091(2-1-0)

Course Objectives

• To make the student conversant with commonly used mechanisms in various machines
• To develop skills for drawing velocity and acceleration diagram for linkages, cams, gears and other mechanisms
• To address the underlying concepts, methods and application of different machines.
• To understand the concepts of speed control mechanisms
• To understand the concepts of Vibration

Learning Outcomes

COs Course outcomes             Mapping COs with POs        (High-3, Medium-2, Low-1)

CO1                                  Able to gain knowledge on different        PO1(2)
power transmission tools

CO3                                    To Interpret the simple given dynamic              PO2(3)
problems and solve them for positions,
velocities and accelerations, etc

CO4                                        Able to improve the design of mechanism      PO3(3)
by using computer

On completion of the course, students will be able to–
• Identify mechanisms in real life applications.
• Perform velocity and acceleration diagrams for various mechanisms.
• Able to know various power transmission systems
• To know the importance of Gyroscope, cams and Governors.
• To perform static and dynamic balance of simple mechanisms.
• To have understanding about the effect of vibration and vibration control

Course Syllabus

Module I: MECHANISMS (03hrs)
Theory
Planar Mechanisms: Kinematic Link, Pair, Chain and Mechanism, Types of Links and Joints, Degree of Freedom, Grashof’s Law for four bar Mechanism; Inversions of four bar Mechanism, Single Slider Crank Mechanism and Double Slider Crank Mechanism;
Practice (01 hrs)
1. Position Analysis of Grashof and Non-Grashof four bar Mechanism.
2. Position Analysis of Slider Crank Mechanism, Scotch Yoke Mechanism and EllipticalTrammel

Module II: MOTION ANALYSIS(03hrs)
Theory
Instantaneous Centre of Rotation, Number and Types of Instantaneous Centers, Kennedy Theorem, Relative Velocity Method, Velocities and acceleration in Four Bar and Slider Crank Mechanism.
Practice (02 hrs)
3. Instantaneous Center Method to Find Velocity of Various Mechanisms.
4. Velocity Analysis of Grashof and Non-Grashof Four Bar Mechanism
5. Velocity Analysis of Slider Crank Mechanism .
6. Acceleration Analysis of Slider Crank Mechanism

Module III: POWER TRANSIMISSION SYSTEMS(04hrs)
Theory
Classification and Basic Terminology, Fundamental Law of Gearing,
Gear trains: Simple, Compound, Reverted and Epi-Cyclic Gear Trains
Flat Belt, V Belt and Rope Drives and chain drives ,Length of open and cross belt drive, Power Transmitted by Belts and Ropes.

Practice
(01 hrs)

7.Length of open and cross belt drive

Module IV: CAMS& GOVERNORS(03hrs)
Theory
Various Types of Cams and Followers; Displacement, Velocity and Acceleration Diagrams for Different Follower Motions; Nomenclature of Cam Profile;
Classification of Governors, Working principle of various type of centrifugal governors, Terminology related to Governor.
Practice (03 hrs)
8. Construction of cam profile using Solid works software
9. Cam analysis of a Knife edge and roller follower
10.To calculate sensitiveness of Governor

Module V: GYROSCOPE (02hrs)
Theory
Gyroscopic Couple, Gyroscopic Effect on Naval Ships and Aeroplanes, Stability of four wheeler
Practice (01 hrs)

11. Determine Gyroscopic Couple on Motorized Gyroscope

Module VI: BALANCING(03hrs)
Theory
Static and Dynamic Balancing, Balancing of Several Masses Revolving in the Same Plane and Different Planes, Balancing of Reciprocating Mass
Practice (02 hrs)
12. Balancing of Several Masses Revolving in the Same and Different Planes
13. Balancing of Reciprocating masses by Simulation

Module VII: VIBRATION (03hrs)
Theory
Basic Concepts and Types of Vibration, Methods of Vibration Analysis, Free Undamped Longitudinal, Transverse and Torsional Vibrations, Damped Free Vibrations, Logarithmic Decrement,Vibration Isolation and Transmissibility;
Practice (02 hrs)
14. Determination of Critical or Whirling Speed of Shaft
15. Simple and Compound Pendulum

Text Books:
1.S. S. RattanTheory of Machines,. Tata McGraw-Hill Education, 2014
2. Joseph E Shingley Theoryof MachinesandMachinsms oxford publication
Reference Books:
1. Singh. S, Theory of Machines, Khanna publishers.
2. Norton R.L, Design of Machinery, McGraw-Hill.

Course outline Prepared by; Dr.P.S.VRamana Rao,
PrajnaParamitaDebata
Date: 28.5.2020

Session Plan

Session 1

Planar Mechanisms: Kinematic Link, Pair, Chain and Mechanism, Types of Links and Joints, Degree of Freedom,

videolink-kinematic pair
video link- kinematic chain and mechanism
video link- types of links

http://courseware.cutm.ac.in/wp-content/uploads/2023/07/Session-plan-1.pdf

Session 2

Grashof’s Law for four bar Mechanism; Inversions of four bar Mechanism, Single Slider Crank Mechanism

video link- Grashof’s law for four bar mechanism
videolink-Inversions of four ba

 Single slider crank mechanism

Session 4

Practice (01 hrs)
1. Position Analysis of Grashof and Non-Grashof four bar Mechanism.
2. Position Analysis of Slider Crank Mechanism, Scotch Yoke Mechanism and EllipticalTrammel

virtual lab - Position Analysis of Grashof and Non-Grashof four bar Mechanism

virtual lab - Position Analysis of Slider Crank Mechanism,

Session 5

Session 8

Practice (1 hrs)
3. Instantaneous Center Method to Find Velocity of Various Mechanisms.
4. Velocity Analysis of Grashof and Non-Grashof Four Bar Mechanism


virtual lab - Instantaneous Center Method

virtual lab - Velocity Analysis of Grashof and Non-Grashof Four Bar Mechanism

Session 9

Practice (01 hrs)

5. Velocity Analysis of Slider Crank Mechanism .
6. Acceleration Analysis of Slider Crank Mechanism

 

virtual lab - Velocity Analysis of Slider Crank Mechanism

virtual lab - Acceleration Analysis of Slider Crank Mechanism

Session 10

Session 11

Gear trains: Simple, Compound, Reverted and Epi-Cyclic Gear Trains

video link -gear trains
video link 2- gear trains
video link 3- gear trains

Session 12

Session 13

Power Transmitted by Belts and Ropes.chain drives

video link -rope and belt drives

video link- chain drive

Session 14

Practice (01 hrs)

7.Length of open and cross belt drive

Session15

Various Types of Cams and Followers; Displacement, Nomenclature of Cam Profile;

videolink-Cam
video link2- cam

Session 16

Velocity and Acceleration Diagrams for Different Follower Motions;

video link3- cam
video link 4- cam

Session 17

Classification of Governors, Working principle of various type of centrifugal governors, Terminology related to Governor

video link1- Governors
video link 2- governors
video link3-Governors

Session 18

Practice (01 hrs)
8. Construction of cam profile using Solid works software

Session 19

Practice (01 hrs)

9. Cam analysis of a Knife edge and roller follower

Session 20

Practice (01 hrs)

10.To calculate sensitiveness of Governor

Session 21

Session 22

, Gyroscopic Effect on Aeroplanes, Stability of four wheeler

video link -Gyroscopic effect on aeroplanes

Session 23

Practice (01 hrs)
11. Determine Gyroscopic Couple on Motorized Gyroscope

virtual lab - Gyroscopic Couple

Session 24

Static and Dynamic Balancing, Balancing of Several Masses Revolving in the Same Plane

video link- Static and dynamic balancing

Session 25

Balancing of Several Masses Revolving in the Different Planes,

video link- Balancing of several masses

Session 26

Balancing of Reciprocating Mass

video link- Balancing of reciprocating masses,

Session 27

Practice (01 hrs)
12. Balancing of Several Masses Revolving in the Same and Different Planes

virtual lab - Balancing of Several Masses

Session 28

Practice (01 hrs)

13. Balancing of Reciprocating masses by Simulation

Session 29

Basic Concepts and Types of Vibration, Methods of Vibration Analysis,

video link1- Basic concepts of vibration
video link2- basics of vibration
videolink 3-vibrations terminology

Session 30

Free Undamped Longitudinal, Transverse and Torsional Vibrations, Damped Free Vibrations

video link- Damped free vibrations and logarithmic decrement

Session 31

,Vibration Isolation and Transmissibility;

video link- vibration isolation and transmissibility

Session 32

Practice (01 hrs)
14. Determination of Critical or Whirling Speed of Shaft

Session 33

Practice (01 hrs)

15. Simple and Compound Pendulum

Case Studies

Case Studies

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Dr.P.S.V.RamanaRao

Dean-Academics, CUTMAP
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Dr.P.S.V.RamanaRao Dean Academics Centurion University of Technology and Management, Andhra Pradesh Dr P.S.V.RamanaRao is presently working as Dean,Academics in Centurion University of Technology& Management, Visakhapatnam Andhra Pradesh. Prior to this position he worked as Head & Professor in the department of Mechanical Engineering since 2001.He obtained his Ph.D from Andhra University, Visakhapatnam. He had his […]