AE2201-MECHANICS OF MACHINES |
MECHANISMS |
Machine Structure – Kinematic link, pair and chain – Grueblers criteria – Constrained motion – Degrees of freedom - Slider crank and crank rocker mechanisms – Inversions – Applications – Kinematic analysis of simple mechanisms – Determination of velocity and acceleration. |
FRICTION |
Friction in screw and nut – Pivot and collar – Thrust bearing – Plate and disc clutches – Belt (flat and V) and rope drives. Ratio of tensions – Effect of centrifugal and initial tension – Condition for maximum power transmission – Open and crossed belt drive. |
PARTIAL DIFFERENTIAL EQUATIONS |
Formation of partial differential equations – Lagrange’s linear equation – Solutions of standard types of first order partial differential equations - Linear partial differential equations of second and higher order with constant coefficients. |
APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS |
Solutions of one dimensional wave equation – One dimensional equation of heat conduction – Steady state solution of two-dimensional equation of heat conduction (Insulated edges excluded) – Fourier series solutions in cartesian coordinates. |
Z -TRANSFORMS AND DIFFERENCE EQUATIONS |
Z-transforms - Elementary properties – Inverse Z-transform – Convolution theorem -Formation of difference equations – Solution of difference equations using Z-transform. |
REFERENCE |
Text Books |
1.Grewal, B.S, ‘Higher Engineering Mathematics’ 40th Edition, Khanna publishers, Delhi,(2007). |
Reference Books |
1.Bali.N.P and Manish Goyal, “A Textbook of Engineering Mathematic”, 7th Edition,Laxmi Publications(P) Ltd. (2007).
2.Ramana.B.V.,“Higher Engineering Mathematics”, Tata Mc-GrawHill Publishing Company limited, New Delhi (2007).
3.Glyn James, “Advanced Modern Engineering Mathematics”, 3rd Edition, Pearson Education (2007).
4.Erwin Kreyszig, “Advanced Engineering Mathematics”, 8th edition, Wiley India (2007).
|