01-03-2013, 04:56 PM
B.E. MECHANICAL ENGINEERING SEMESTER III
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FOURIER SERIES 9
Dirichlet’s conditions – General Fourier series – Odd and even functions – Half range sine series –
Half range cosine series – Complex form of Fourier Series – Parseval’s identity – Harmonic Analysis.
UNIT II FOURIER TRANSFORMS 9
Fourier integral theorem (without proof) – Fourier transform pair – Sine and
Cosine transforms – Properties – Transforms of simple functions – Convolution theorem – Parseval’s
identity.
UNIT III PARTIAL DIFFERENTIAL EQUATIONS 9
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.
UNIT IV APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS 9
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.
UNIT V Z -TRANSFORMS AND DIFFERENCE EQUATIONS 9
Z-transforms – Elementary properties – Inverse Z-transform – Convolution theorem – Formation of
difference equations – Solution of difference equations using Z-transform
METAL CASTING PROCESSES 9
Sand casting – Sand moulds - Type of patterns – Pattern materials – Pattern allowances – Types of
Moulding sand – Properties – Core making – Methods of Sand testing – Moulding machines – Types
of moulding machines - Melting furnaces – Working principle of Special casting processes – Shell –
investment casting – Ceramic mould – Lost Wax process – Pressure die casting – Centrifugal casting –
CO2 process – Sand Casting defects.
UNIT II JOINING PROCESSES 9
Fusion welding processes – Types of Gas welding – Equipments used – Flame characteristics – Filler
and Flux materials - Arc welding equipments - Electrodes – Coating and specifications – Principles of
Resistance welding – Spot/butt – Seam – Projection welding – Percusion welding – GS metal arc
welding – Flux cored – Submerged arc welding – Electro slag welding – TIG welding – Principle and
application of special welding processes – Plasma arc welding – Thermit welding – Electron beam
welding – Friction welding – Diffusion welding – Weld defects – Brazing – Soldering process –
Methods and process capabilities – Filler materials and fluxes – Types of Adhesive bonding.
UNIT III BULK DEFORMATION PROCESSES 9
Hot working and cold working of metals – Forging processes – Open impression and closed die
forging – Characteristics of the process – Types of Forging Machines – Typical forging operations –
Rolling of metals – Types of Rolling mills – Flat strip rolling – Shape rolling operations – Defects in
rolled parts – Principle of rod and wire drawing – Tube drawing – Principles of Extrusion – Types of
Extrusion – Hot and Cold extrusion – Equipments used.
UNIT IV SHEET METAL PROCESSES 9
Sheet metal characteristics – Typical shearing operations – Bending – Drawing operations – Stretch
forming operations –– Formability of sheet metal – Test methods – Working principle and application
of special forming processes – Hydro forming – Rubber pad forming – Metal spinning – Introduction
to Explosive forming – Magnetic pulse forming – Peen forming – Super plastic forming.
UNIT V MANUFACTURING OF PLASTIC COMPONENTS 9
Types of plastics – Characteristics of the forming and shaping processes – Moulding of
Thermoplastics – Working principles and typical applications of – Injection moulding – Plunger and
screw machines – Compression moulding – Transfer moulding – Typical industrial applications –
Introduction to Blow moulding – Rotational moulding – Film blowing – Extrusion – Thermoforming –
Bonding of Thermoplastics.