Theory of Machines
MEC-205
Mechanisms And Machines: Introduction of Simple mechanism Different types of Kinematics pair Grubler’s rule for degree of freedom Grashof’s Criterion for mobility determination Inversions of 4R, 3R-P, and 2R-2P chains Kinematic Analysis of Planar Mechanisms: Velocity and acceleration diagrams Application of relative velocity method in Slider crank and four bar mechanism Instantaneous centre method, Kennedy-Arnold theorem Acceleration diagrams for simple mechanism Cams: Classification, Construction of Cam profile Analysis of Cams with uniform acceleration and retardation SHM, Cycloidal motion
Gears and Gear Trains: Classification of gears Terminology, Geometry of tooth profiles, Law of gearing Cycloidal and Involute profile, Undercutting and interference Methods to avoid interference, Condition for minimum number of teeth to avoid interference Contact ratio, Interference, Simple, Compound and Epicyclic gear trains Tabular column method for Epicyclic gear trains, Fixing torque. Gyroscopes: Principles of Gyroscope, Effect of Gyroscopic couple on automobiles, ships, and aircrafts.
Dynamic Analysis: Analysis of single slider crank mechanism for displacement, velocity and acceleration using analytical method Klein’s Construction, Turning moment diagrams, Flywheel. Mechanical governors:Function of a governor, types of governors: weight and spring loaded, Hunting and Sensitivity, efforts and power of a governor, controlling diagrams.
Balancing: Static and Dynamic balancing, balancing of rotating and reciprocating masses, single and multicylinder engines. Vibrations: Free vibration of a body, single degree of freedom system, Rayleigh method, free vibrations with viscous damping, Logarithmic decrement, Response of damped spring mass system to harmonic forces, Whirling of shafts, Vibration isolation, Transmissibility Ratio.