ME 701: OPERATIONS RESEARCH

Module 1

Linear Algebra : Review of the properties of matrices and matrix operations, partitioning of matrices, vectors and Euclidean spaces, unit vectors, sum vectors, linear dependence,bases, spanning set, rank, product form of inverse, simultaneous equations, basic solutions, point sets, lines and hyper planes, convex sets, extreme points, fundamental theorem of linear programming.

Module 2

Linear Programming : Fundamentals Theorems of Linear programming, Mathematical formulation of the problem, Assumption of Linear programming, graphical Method.Simplex Method – Slack & surplus variables, basic feasible solution, reduction of a feasible solution to basic feasible solution, artificial variables, optimality conditions. Charnes ‘M’Method, two phase method.

Module 3

Transportation Problems : Definition of a transportation model, North-west Corner Rule,Least Cost or Matrix Minima Method, Vogel’s approximation method, Degeneracy n Transportation problem.Assignment Problems Theorems of Assignment problem, Zero assignments, Unbalanced problems. Comparison wih Transportation Models.

Module 4

Game Theory : Von Neuman’s theorem, saddle points, pure and mixed strategies,formulation of primal and dual LP problems fr mixed strategies, dominance, graphical solutions. Queueing Theory : Basic structures of queueing models, exponential and poisson distribution, Kendall’s Notation, Queueing models – M/M/1 and M/M/K.Simulation : Definition, Simulation Models – Monte-Carlo Simulation, Application of Simulation, Advantages and limitations of Simulation.


ME 702: VIBRATION AND NOISE CONTROL

Module 1

Introduction to mechanical vibrations: free and forced vibrations, response of single degree of freedom system, viscous damping, coulomb damping, Support excitation,Rotating Unbalance, vibration isolation, whirling of shafts, measurement of vibration,accelerometer and seismometer

Module 2

Response to non sinusoidal excitations and impacts, Multi degree freedom systems,Torsional and longitudinal vibratory system, matrix formulation, eigen value problems,mode shapes, Coordinate Coupling, Lagrange’s equations

Module 3

Vibration of continuous systems: exact methods, boundary value problem, eigen value problem, axial vibration of rods, transverse vibration of beams, response of system by modal analysis, general elastic waves, approximate methods to analyse system, different methods like Rayleigh's energy method, Rayleigh-Ritz method, Dunkerleys method

Module 4

Noise, Sound level meter scales, Psychophysical indices, Equivalent sound level, noise and loss of hearing, Measuring hearing, normal hearing and hearing loss, temporary hearing loss from continuous noise, permanent haring loss from continuous noise,physiological effects of noise, effect of noise on performance, general conclusions regarding effects of noise, specific effects of noise, noise exposure limits, continuous and intermittent noise, impulse noise, annoyance of noise, handling noise problems, noise control, control at the source, control at the receiver, control along the path.


ME 703: MACHINE DESIGN-II

Module 1

Design of Clutches : Friction clutches, uniform wear and uniform pressure assumptions,centrifugal clutches.Brakes : Design of internal expansion elements, assumptions, design of external contraction elements, band type brakes.Belt and chain drives : flat belts, V-Belts, roller chain.

Module 2

Design of Gears : Spur, helical, bevel and worm gears-tooth loads, design stresses, basic tooth stresses, stress concentration, overload factor, velocity factor, bending strength of gear teeth, Buckingham equation fr dynamic load, surface durability, surface strength,heat dissipation, gear material, design fr strength and wear, gear box design(description only).

Module 3

Bearings and lubrication: types of lubrication, viscosity, journal bearing with perfect lubrication, hydrodynamic theory, design factors, bearing load, bearing dimensions,journal bearing design. Ball and roller bearings- bearing life, stati and dynamic capacity, selection of bearings wih axial and radial loads, bearing materials used. Thrust bearings, lubrication, wear of metal, adhesive wear, abrasive wear, corrosion wear,fatigue and impact wear, measurement of friction and wear.

Module 4

Product design for manufacturing : general design recommendations for rolled sections, forgings, screw machine parts, turned parts, machined round holes, parts produced on milling machines, welded parts, castings etc., Modification of design fr manufacturing easiness fr typical products – preparation of working drawings fr manufacture of parts wit complete specifications including manufacturing details like tolerance, surface finish.


ME 704: REFRIGERATION AND AIR CONDITIONING

Module 1

Principles of refrigeration-unit of refrigeration - capacity - Coefficient of Performance -refrigeration systems - Carnot refrigeration cycle - steam jet refrigeration - thermoelectric refrigeration - vortex tube - pulse tube - air refrigeration cycle boot strap & boot strap evaporating cooling - thermodynamic analysis of Bell-Coleman cycle

Module 2

Vapour compression system - theoretical and practical cycles - simple and multi pressure systems - thermodynamic analysis - vapour absorption system - principle of operation of aqua - ammonia and lithium bromide - water systems - Electrolux system - comparison between vapour compression and absorption systems - refrigerants - thermodynamic,physical and chemical properties of refrigerants - selection criteria of refrigerants

Module 3

System components - compressors - reciprocating compressors - single and multistage compressors - work of compression - effect of clearance - effect of inter cooling -optimum pressure ratio - efficiencies - rotary compressors - screw type and vane type compressors - hermetic, semi hermetic and open compressors - condensers - water cooled and air cooled condensers - evaporative condensers - expansion devices - capillary tube -constant pressure expansion valve - thermostatic expansion valve - float valves -evaporators - natural convection and forced convection coils - flooded evaporators - direct expansion coils

Module 4

Psychrometry - Psychrometric properties and processes - determination of air entering conditioned space - air conditioning systems – Summer and Winter air conditioning systems - central and unitary systems - human comfort - comfort chart and limitations -effective temperature - factors governing effective temperature.Cooling Load Calculation - various heat sources - Solar load - equipment load -infiltration air load - fan load - design of air conditioning systems - duct design - air distribution systems - heating systems


ME 705(A): AEROSPACE ENGINEERING

Module 1

The atmosphere: characteristics of troposphere, thermosphere, ionosphere, pressure –temperature- density variations n the international standard atmosphere, correction of charts, The standard atmosphere.Review of basic fluid dynamics: continuity, momentum, and energy equations fr compressible and incompressible flows, stati, dynamic and stagnation pressure,stagnation enthalpy, temperature

Module 2

Aerodynamics: 2D viscous flow over bodies, 2D airfoils, nomenclature and classification, pressure distribution i viscid and real flows, circulation theory of air foils,centre of pressure and aerodynamic centre, 2D air foil characteristics, aspect ratio,induced drag, calculation of induced drag from momentum considerations, skin friction and form drag – Drag divergence - Propellers - Blade element theory, propeller coefficients and charts.

Module 3

Aircraft performance: flight envelops, v-n diagrams for maneuvers, straight and level flight, gliding and climbing, rate of climb, service and absolute ceilings, gliding angle and speed of flattest glider take off, landing performance and length of run way required,range and endurance of aero planes, charts fr piston and jet engine aircraft, aircraft instruments - Qualitative ideas of Stability.

Module 4

Aircraft engines: thrust equations- thrust power, propulsive power, propulsive efficiency,principle of turbo jet engines, engine performance characteristics – Rocket engines Principles of wind tunnel testing: open and closed types of wind tunnels, wind tunnel balances, pressure and velocity measurements, supersonic wind tunnels.


705 (B) FINITE ELEMENT METHOD

Module 1

Linear vector spaces- Linear transformations and functionals- linear, bilinear and quadratic forms- theory of normed spaces- theory of inner products spaces- concepts from variational calculus- variational methods of approximation- Ritz method- weighted residual method- Galerkin method- subdomain method-collocation method

Module 2

Finite element analysis of one dimensional problems- procedure- I-D elements and interpolation functions- analysis of one dimensional second and fourth order equationsapproximation errors n FEM- computer implementation

Module 3

Finite element analysis of two dimensional problems- 2-D elements and interpolation functions- 2nd order equations involving a scalar valued functio- comments on mesh generation and composition of boundary condition- analysis of plane elasticity and incompressible fluid flow problems- time dependent problems transient heat transfer)-isoparametric elements and numerical integration

Module 4

Alternative formulations- the least square formulations- the mixed formulation- eigen value problem- non linear problems- 3-D elements and interpolation functionsformulation of 3-D problems (2 & 3-D Navier Stokes equations, 3D heat transfer equations)


ME705 (C) ADVANCED ENGINEERNG MATERIALS

Module 1

Introduction - classification and characteristics of polymer matrix and metal matrix composites -mechanical behaviour of UD composites - longitudinal strength and stiffness - transverse strength and stiffness - failure modes - short fibre composites

Module 2

Manufacturing and testing methods - production of various fibres - matrix materials and surface treatments - fabrication of composites - fabrication of thermosetting resin matrix composites - fabrication of thermoplastic-resin matrix composites/short fibre composites - fabrication of metal matrix composites - fabrication of ceramic matrix composites - carbon-carbon composites -machining aspects of composites - experimental characterisation of composites - uniaxial tension- compression and shear tests - determination of interlaminar and fracture toughness - damage identification through non-destructive evaluation techniques - ultrasonic, acoustic emission and X-radiography

Module 3

Analysis of orthotropic lamina - Hooke’s law for orthotropic materials - stress-strain relations and engineering constants - specially orthotropic lamina - relation between engineering constants and elements of stiffness and compliance matrices - restrictions on elastic constants - stress-strain relationships fr generally orthotropic lamina - transformation of engineering constants -strengths of orthotropic lamina - typical design application examplesp>

Module 4

Analysis of laminated composites - strain and stress variation in a laminate - synthesis of stiffness matrix construction and properties of special laminates - symmetric laminates - unidirectional, cross-ply and angle-ply laminates - quasi-isotropic laminates - determination of laminae stresses and strains - laminate analysis through computers - typical design application examples


ME 705 (D) QUALITY ENGINEERING

Module 1

Fundamentals of the theory of probability: objectives and applications; variable and attributes, fundamentals concepts; patterns of variation, frequency distribution; cells and cell boundaries, cumulative frequency distribution, the normal distribution, average,measure of dispersion, statistical concept of universe.Binomial distribution, mean and standard deviation, Poisson distribution as an approximation to the binomial, use of tables fr solving Poisson problems.

Module 2

Shewhart’s control charts for variables: X bar and R charts, relationship between sample parameters and universe parameters, control limits fr X bar and R charts,examples of processes n control, examples of processes out of control, process capability Control chart fr fraction defective: necessary steps fr selection of sub groups, choice between p chart and np chart, control limits, charts showing control and lack of control,sensitivity of the p chart.Control charts fr defects: control limits fr c charts; preparation and use of c charts.

Module 3

Acceptance sampling : lot by lot acceptance using single sampling by attributes,operating characteristics curves, producer’s risk, consumer’s risk, AOQL, LTPD, quality protection, selection of sampling plans, choice of sampling plans to minimize average total inspection, ATI curves, double and sequential sampling plans, concept of AQL

Module 4

Life testing and reliability: concept & definition of reliability, analysis of life test,failure distribution- probability of equipment failure, conventional model, failure rate,MTBF, OC curves ,exponential reliability functions, series, parallel, and combinational reliability, redundant system, maintainability, and availability.


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