Theory of Machines syllabus

Introduction: kinematic link, kinematic pair, kinematic chain, types of constrained motions, types of joints, mechanism, machine, Degree of freedom and Mobility. Inversions of Mechanisms: Four-Bar Chain, Slider crank Chain, Double slider crank Chain. Mechanisms with Higher pairs: Equivalent Linkages and their Cases (Sliding Pairs in Place of Turning Pairs, Spring in Place of Turning Pairs, Cam Pair in Place of Turning Pairs)

Method Analytical methods: Displacement, velocity and acceleration analysis of slider crank Mechanism. Vector and Complex Algebra Methods (Theoretical Treatment only). Graphical methods: Displacement, velocity and acceleration analysis of mechanisms by Relative Velocity Method (Mechanisms up to 6 Links), Coriolis component of Acceleration (Theoretical treatment only) Instantaneous Centre of Velocity, Kennedy’s Theorem, Angular Velocity ratio Theorem, Analysis of mechanism by ICR method (Mechanisms up to 6 Links)

Steps in Synthesis: Type synthesis, Number Synthesis, Dimensional synthesis, Tasks of Kinematic synthesis - Path, function and motion generation (Body guidance), Precision Positions, Chebychev spacing, Mechanical and structural errors Graphical Synthesis: Inversion and relative pole method for three-position synthesis of Four-Bar and Single Slider Crank Mechanisms Analytical Synthesis: Three-position synthesis of the Four-Bar mechanism using Freudenstein’s equation

Introduction: Classification, terminology, law of gearing, involute and cycloidal tooth profile, Spur Gear: path of contact, arc of contact sliding velocity, Interference and undercutting, Minimum number of teeth to avoid interference, Force Analysis (theoretical treatment only) Helical and Spiral Gears: Terminology, Geometrical Relationships, virtual number of teeth for helical gears Bevel Gear & Worm and Worm Wheel: Terminology, Geometrical Relationships Gear Train: Types, Analysis of Epicyclic gear Trains, Holding torque - simple, compound and Epicyclic gear Trains, compound Epicyclic gear Train

Introduction: Types of cams and followers, and their classification, analysis of standard motions to the follower, Cam Profile: Determination of cam profiles for different follower motions Methods of control: pressure angle, radius of curvature and undercutting. Jump phenomenon of Eccentric cam,