Theory of Mechanism and Machine II
Course Objectives:
- To provide basic concept for the dynamics response analysis of common machines and machine components.
- To model a given system for a vibratory response.
- To develop computer simulation and program for the dynamic response
- Engine Force Analysis(2 hours)
- Analytical Method for Velocity and Acceleration of the Piston and the Connecting Rod
- Equivalent Dynamical System
- Analytical Method for Inertia Torque
- Graphical Method for Velocity and Acceleration of the Piston and the Connecting Rod
- Turning Moment Diagram and Flywheel(2 hours)
- Turning Moment Diagram
- Fluctuation of Energy and Coefficient of Fluctuation of Energy
- Flywheel
- Coefficient of Fluctuation of Speed
- Energy Stored in a Flywheel and Flywheel Sizing
- Gyroscopic Couple(3 hours)
- Precessional Angular Motion
- Gyroscopic Couple
- Effect of Gyroscopic Couple on Aeroplane
- Stability of a Four Wheel and Two Wheel Vehicles
- Effect of Gyroscopic Couple on a Disc Fixed Rigidly at a Certain Angle to a Rotating Shaft
- Governors(4 hours)
- Function of a Governer
- Terms Used in Governer
- Types of Governers
- Sensitiveness and Stability of Governors
- Balance of Machinery(6 hours)
- Balancing of a Single Rotating Mass by a Single Mass Rotating in the Same Plane
- Balancing of a Single Rotating Mass by Two Masses Rotating in Different Planes
- Balancing of Several Masses Rotating in the Same Plane
- Balancing of Several Masses Rotating in the Different Planes
- Types of Balancing Machines
- Balancing of Reciprocating Masses
- Balancing of Multicylinder Engines, In-line, V-type, Opposed and Radial Configurations
- Balance of Four Bar Linkages
- Vibration of Single Degree of Freedom Systems(10 hours)
- Definition and Effects of Vibration, Terms Used in Vibration
- Elements of a Vibrating System
- Undamped Vibration of Single Degree of Freedom System
- Damped Vibration of Single Degree of Freedom System
- Forced Harmonic Response of Single Degree of Freedom System with Viscous Damping
- Systems with Coulomb Damping
- Rotating Unbalance
- Whirling of Rotor-Shaft Systems
- Vibration Isolation and Force Transmissibility
- Response of Harmonic Excitation of Support
- Vibration Measuring Instruments
- Energy Dissipated by Damping
- Convolution Integral and General Force Excitation
- Vibration of Two Degree of Freedom Systems(4 hours)
- Undamped Vibration of Two Degrees of Freedom System, Natural Frequencies and Mode Shapes
- Damped Vibration of Two Degrees of Freedom System
- Forced Harmonic Vibration of Two Degrees of Freedom System
- Vibration Absorber
- Vibration of Multi Degree of Freedom Systems(6 hours)
- Equations of Motion in Matrix Form
- Flexibility and Stiffness Matrices, Reciprocity Theorem
- Eigenvalues and Eigenvectors, Orthogonal Properties of Eigenvectors
- Modal Analysis
- General Forced Response
- Vibration of Multi Degree of Freedom Systems(4 hours)
- Rayleigh Method
- Rayleigh-Ritz Method
- Dunkerley Method
- Matrix Iteration Methods
- Finite Difference Method
- Vibration of Continuous Systems(4 hours)
- Lateral Vibration of a String
- Longitudinal Vibration in Rods
- Torsional Oscillation in Circular Shafts
- Lateral Vibration in Beams
Practical:
- Response of Governors
- Experiment on Gyroscope
- Balancing of Rotating Masses
- Response of a Spring Mass System
- Whirling of a Rotating Shaft
References:
- “Mechanisms and Dynamics of Machinery”, H. H. Mabie and C.F. Reinholtz, Wiely.
- “Theory of Vibration with Applications”, W. T. Thomson, Prentice Hall.
- “Mechanical Vibrations”, S.S. Rao, Addison Wesley.
- “Fundamentals of Mechanical Vibrations”, S. G. Kelly, Mc Graw Hill.
Evaluation Scheme:
There will be questions covering all the chapters of the syllabus. The evaluation scheme will be indicated in the table below:
Chapters |
Hour |
Marks Distribution* |
1 & 2 |
4 |
6 |
3 |
3 |
6 |
4 |
4 |
8 |
5 |
6 |
10 |
6 |
10 |
18 |
7 |
4 |
8 |
8 |
6 |
10 |
9 |
4 |
7 |
10 |
4 |
7 |
Total |
45 |
80 |
*Note: There may be minor deviation in marks distribution.
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