Theory of Machine - I for SPPU 15 Course (SE - II - Mech. - 202048) - 2020 Edition

by Anup Goel

Unit I : Fundamentals of Kinematics and Mechanisms Kinematic link, Types of links, Kinematic pair, Types of constrained motions, Types of Kinematic pairs, Kinematic chain, Types of joints, Mechanism, Machine, Degree of freedom (Mobility),Kutzbach criterion, Grubler’s criterion. Four bar chain and its inversions, Grashoff’s law, Slider crank chain and its inversions, Double slider crank chain and its inversions. Straight line mechanisms such as : Peaucellier Mechanism, Scott Russell Mechanism, Grasshopper Mechanism, Watt mechanism. Equivalent linkage of mechanisms. Steering gear mechanisms : Condition for correct steering, Davis steering gear mechanism, Ackermann steering gear mechanism. (Chapters 1 and 2) Unit II : Static and Dynamic Force Analysis Theory and analysis of Compound Pendulum, Concept of equivalent length of simple pendulum, Bifilar suspension, Trifilar suspension. Dynamics of reciprocating engines : Two mass statically and dynamically equivalent system, correction couple, static and dynamic force analysis of reciprocating engine mechanism (analytical method only), Crank shaft torque, Introduction to T- diagram. Friction : Friction in turning pair, friction circle, friction axis, friction in slider crank mechanism. (Chapters 3 and 4) Unit III : Friction Clutches, Brakes and Dynamometer Pivot and collar friction, Classification of Clutches, torque transmitting capacity of - plate clutch, cone clutch and centrifugal clutch, Classification of brakes, braking torque of - shoe brakes, internal shoe brake, disc brake, brake power of absorption and transmission type dynamometers – prony brake, rope brake, belt transmission, epicyclic train and Bevis-Gibson torsion. (Chapters 5 and 6) Unit IV : Kinematic Analysis of Mechanisms : Analytical Method Analytical method for displacement, velocity and acceleration analysis of slider crank Mechanism. Position analysis of links with vector and complex algebra methods, Loop closure equation, Chase solution, Velocity and acceleration analysis of four bar and slider crank mechanisms using vector and complex algebra methods. Hooke’s joint, Double Hooke’s joint. (Chapter 7) Unit V : Velocity and Acceleration Analysis of Simple Mechanisms : Graphical Methods-I Relative velocity method : Relative velocity of a point on a link, Angular velocity of a link, Sliding velocity, Velocity polygons for simple mechanisms. Relative acceleration Relative acceleration of a point on a link, Angular acceleration of a link, Acceleration polygons for simple mechanisms. (limit to only 4 link mechanisms) Instantaneous center of rotation (ICR) method : Definition of ICR, Types of ICRs, Methods of locating ICRs (limit to only 6 link mechanisms), Kennedy’s Theorem, Body and space centrode. (Chapters 8 and 9) Unit VI : Velocity and Acceleration Analysis of Mechanisms : Graphical Methods-II Velocity and acceleration diagrams for the mechanisms involving Coriolis component of acceleration. (limit to only 4 link mechanisms) Klein’s construction. (Chapter 10)

Kindle Edition

Published May 5, 2020