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APPLIED MATHEMATICS

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APPLIED MATHEMATICS

    UNIVERSITY DEPARTMENTS

    ANNA UNIVERSITY CHENNAI : : CHENNAI 600 025

    REGULATIONS - 2009

    CURRICULUM I TO IV SEMESTERS (FULL TIME)

    M.TECH. FOOTWEAR SCIENCE AND ENGINEERING

    SEMESTER I

    SL. COURSE COURSE TITLE L T P C NO CODE

    THEORY

    1. MA9121 Applied Mathematics for Leather Technology 3 1 0 4 2. Theory and Practice of Leather Manufacture 3 0 0 3 FW9151 (For B.E. Mechanical Engg. Students)

    3. Mechanics of Machinery 3 0 0 3 FW9152 (For B.Tech Leather Technology students)

    4. FW9111 Anatomy and Solid Modelling of Foot 3 0 0 3 5. FW9112 Technology of Footwear Manufacture 3 0 0 3

     E1 Elective I 3 0 0 3 PRACTICAL

    5. FW9114 Footwear Fabrication - I 0 0 6 3

     TOTAL CREDITS 15 1 6 19

    SEMESTER II

    SL. COURSE COURSE TITLE L T P C NO CODE

    THEORY

    1. FW9121 Technology of Speciality and non-Leather Footwear 3 0 0 3 2. CR9111 Materials Science 3 0 0 3 3. FW9122 Footwear Machinery 3 0 0 3 4. E2 Elective II 3 0 0 3 5. E3 Elective III 3 0 0 3 PRACTICAL

    6. FW9125 Footwear Fabrication - II 0 0 6 3 7. FW9126 Testing of Footwear Materials and Products 0 0 4 2

     TOTAL CREDITS 15 0 10 20

    SEMESTER III

    SL. COURSE COURSE TITLE L T P C NO CODE

    THEORY

    1. E4 Elective IV 3 0 0 3 2. E5 Elective V 3 0 0 3 3. E6 Elective VI 3 0 0 3 PRACTICAL

    4. FW9131 Seminar 0 0 2 1 6. FW9132 Project Work Phase I 0 0 24 6

     TOTAL CREDITS 9 0 24 16

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    SEMESTER IV

    SL. COURSE COURSE TITLE L T P C NO CODE

    PRACTICAL

    1. FW9141 Project Work Phase II 0 0 24 12

     TOTAL CREDITS 0 0 24 12

    LIST OF ELECTIVES

    SL. COURSE COURSE TITLE L T P C NO CODE

    1. FW9161 Computational Methods and Computer Graphics 3 0 0 3 2. FW9162 Footwear Chemicals and Polymers 3 0 0 3 3. Computer Aided Design and Manufacture for FW9163 3 0 0 3 Footwear

    4. FW9164 Modern Footwear Styling 3 0 0 3 5. FW9165 Organisation and Management of Footwear Sector 3 0 0 3 6. FW9166 Safety in Footwear Industry 3 0 0 3 7. FW9167 Quality Control Management in Footwear Industries 3 0 0 3 8. Operations Research (elective offered by Dept of CL9157 3 0 0 3 Chemical Engineering)

    9. Financial Management (elective offered by Dept of TX9170 3 0 0 3 Textile Technology)

    10. Industrial Relations and Labour Laws (elective TX9171 3 0 0 3 offered by Dept of Textile Technology)

    11. Total Quality Management (elective offered by Dept CL9158 3 0 0 3 of Chemical Engineering)

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    SEMESTER I

    MA9121 APPLIED MATHEMATICS L T P C

    (Common to Chemical Engineering) 3 1 0 4

UNIT I TENSOR ANALYSIS 9

    Tensor Algebra, Metric Tensor, Christoffel Symbols and covariant differentiation, Riemann-Christoffel Curvature Tensor, Cartesian Tensors

UNIT II FOURIER TRANSFORMS 9

    Fourier Transforms, Complex, Sine and Cosine Transforms, Finite Fourier Transforms, Applications to heat conduction problems

UNIT III CALCULUS OF VARIATIONS 12

    Simple variational problems with fixed boundaries, Euler`s equations, conditional extrema, Iso perimetric problems, Approximate solutions, Direct methods, Euler`s finite difference method, Ritz method

UNIT IV METHOD OF WEIGHTED RESIDUALS 7

    Basics of variational principle, Applications to ordinary and partial differential equations, sub-domain method, Collocation method, least square method, Galerkin method

    UNIT V QUALITATIVE ANALYSIS OF ORDINARY DIFFERENTIAL EQUATION 8

Stability of nonlinear systems, Elements of control Theory

     TOTAL NUMBER OF PERIODS = 60

REFERENCES:

1. Ramanaiah, G. T., “Tensor Analysis”, S. Viswanatthan Pvt. Ltd., 1990.

    2. Narayanan S, Manicavachagom Pillai T K and Ramanaiah G, “Advanced

    Mathematics for Engineering Students,” Vol.III, S.Viswana, B. than Pvt. Ltd., 1990.

    3. Finalyson A., “The Method of Weighted Residuals and Variational Principles”,

    Academic Press, 1972.

    4. Geo, S. G. and Raghavendra V, “Ordinary Differential Equations and Stability

    Theory”, Tata McGraw Hill, 1980.

    5. Pushpavanam S., “Mathematical Methods in Chemical Engineering”, Prentice Hall of

    India.

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    FW9151 THEORY AND PRACTICE OF LEATHER MANUFACTURE 3 0 0 3

    (BRIDGE ELECTIVE COURSE FOR B.E. MECHANICAL ENGG. STUDENTS)

1. HIDES & SKINS & PRESERVATION 9

    Hides and skins origin, availability, flaying technique, histological characteristics, leather making materials, ante-mortem and postmortem defects and its effects in shoe making. Comparisons between different hides and skins from shoe maker point of view.

2. LEATHER PROCESS TECHNOLOGY 10

    Principles and techniques involved in different unit processes and operations in leather processing (pre and post tanning). Bio processing of leather, Eco processing. Process device and importance machines in leather processing and costing of leathers.

3. FINISHING

     7 Chemicals and auxiliaries used in leather finishing, its compatibility with shoe finishes. Application techniques. Texture and special finishes. Assortment.

4. FOOTWEAR LEATHER MANUFACTURING 12

    Process parameters and control for unit operations for Upper leather manufacturing from different kinds of raw materials. Special process techniques for Kid leather, soft upper and upper from sheep. Processes for the manufacture of sole and lining leathers.

    5. TANNERY EFFLUENTS 7

    Source of generation of liquid and solid wastes in tanneries. Characterization of liquid, wastes and assessment of critical parameters of pollution (solids, BOD, COD, nutrients, metals and phenolics)

    Total Number of Periods = 45

REFERENCES:

1. Sarkar, K.T., “Introduction to the Principles of Leather Manufacture”, Ajoy Sorcor,

    Madras, 1981.

    2. Dutta, S.S.,” Introduction to the Principles of Leather Manufacture”, Indian Leather

    Technologists Association, Calcutta, 1980.

    3. Thorstenson, T.C.,” Practical Leather Technology”, Robert E. Krieger Publishing Co.,

    Malabar, Florida, 1985.

    4. Fred O Flaherty, Roddy, T.W. and Lollar, R.M., “The Chemistry and Technology

    of Leather”, Vol.I & II, Type of tannages, Rober E. Krieger Publishing Co., New

    York, 1977.

    5. Tchobanoglous, G., Burton, F.L. and Stensel, H.D. (Eds), “Waste water Engineering, rdtreatment, disposal and reuse: Metcalf and Eddy”, 3 edn. Tata-McGraw Hill

    Publishing, New Delhi, 1991.

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    FW9152 MECHANICS OF MACHINERY 3 0 0 3 (BRIDGE ELECTIVE COURSE FOR B.E. MECHANICAL ENGG. STUDENTS)

    1. POWER TRANSMISSION 10

    Principles of Hydraulic, Pneumatic and mechanical systems of power transmission, Use of these systems either alone or in combination in the working parts of the machine. Electronic, magno-electric, photo-cell and control safety systems.

    2. MECHANICAL PROPERTIES AND TRANSMISSION 10

    Mechanical properties - Tensile strength, Yield strength, Creep strength, Impact strength, Effect of temperature, Wear resistance- Laws of friction and application - Transmission of power/belt, rope and chain drives, Length Types, Creep, Tensions, Pulleys, conditions for maximum power Transmission.

    3. MOTION AND INERTIA 10

    Kinematics - Velocity and Acceleration, Analysis of motion of simple mechanisms with special reference to footwear machines, Kinetics- Application of forces in machines - Inertia forces and torque - Fluctuation of energy and speed - Flywheel effect and punching press.

    4. CAMS AND GEAR TRAINS 9

Cams - Types and classification of cams and followersConstruction of cam profiles for

    different type of followers with simple harmonic, uniform acceleration and retardation motion - Application of simple, compound, reverted and epicycle gear trains.

    5. TRANSPORT SYSTEM 6

    Different types of material handling system in footwear industry. Manual, semi-automatic and automatic conveyors.

     Total Number of Periods = 45

REFERENCES:

1. Shigley, J.E. and Vicker, J.J., “Theory of Machines and mechanisms”, McGraw

     Hill,1995.

    2. Paul, B., “Kinematics and Dynamics of Planar Machinery”, Prentice Hall,

     1979.

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    FW9111 ANATOMY AND SOLID MODELLING OF FOOT 3 0 0 3

    1. ANATOMY OF HUMAN FOOT 9

    Lower limb - bones, muscles, nerves and fascia, their functions in structural stability (static & dynamic) muscles in helping in walking, muscle relate to limb functions like flexion, extension, etc. Science in Shoe Design.

    2. GROWTH AND DEFORMITIES 7

    Growth of foot from infancy to maturity, arches of foot, relationship between foot shape and last. Different types of foot deformities like Pes Cavus, Valgus, Blisters, Gangrene, injuries in sports, methods of prevention etc footcare and protection.

    3. BIO MECHANICS 7

    Free body diagram, analysis - biomechanics of walking, running and other sports. Types of forces - friction, moments.

    Gait analysis and foot comfort - gait patterns, pressure distribution etc. in case of normal and abnormal feet.

    4. ESSENTIALS OF THERAPEUTIC FOOTCARE 7

    Footwear Criteria to address foot problems; comfort Elements; Principles of protective footwear; Common features of therapeutic footwear.

    5. SOLID MODELLING 15

    Basic principles of solid modelling and surface modelling using contours and geometry. Use of solid modelling in designing and developing modern foot wear.

    Lasts: Different measurement of feet and lasts - methods, units, sizing systems such as English, French, American, German, Japan Mondo-point their conversion and comparison. Materials for last making, manufacturing technique. Model development. Principles of grading - Manual, machine and computer grading.

    Total Number of Periods = 45

    REFERENCES:

1. Hollinshead, H., “Text book of Anatomy”, Oxford IBH London 1967.

    2. Morton, D.J., “The Human Foot”, Hafner Publishing Co., New York, London,

     1964.

    3. Thornton, J.H., “Text book of Footwear Manufacture”, National Trade Press Ltd.,

    London, 1970

    4. Edwards, C.A., “Orthopaedic shoe technology”, Precision Printing Co., Indiana,

     . 1964

    5. Whittle, M., “Gait Analysis: An introduction,” butterworth – Heinemann

    Publication, 2002.

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FW9112 TECHNOLOGY OF FOOTWEAR MANUFACTURING 3 0 0 3

1. DESIGN AND PATTERN DEVELOPMENT 7

    History of shoe purposes and styles fashions & designs selection criteria for last,

    Forming, conceptual design (Manual & Computer) - Grading Preparation of bottom and insole patterns Preparation of standards and section for Men, Ladies & Children classic and other types of shoes and boots.

2. CUTTING 6

    Selection of materials Layout preparation Materials Economy - Principles of cutting

    Hand, machine, Scope for automation, Standard time Quality Control Clicking room

    design and management. Fabric, rolls and sheet materials cutting technique.

3. PRE-CLOSING & CLOSING 11

    Checking incoming work, stitch making, skiving, punching and gimping, heat embossing, flow moulding, toe puff attachment, attaching linings and scrims, trimming linings, finishing off closed seams. Top line and other edge treatments, local reinforcements, attaching fasteners and trims.

    Threads, needles, Seam and stitch types, preparing for stitching, Dealing with thread breakages, automatic stitching, working environment faults and remedies, Types of stitching machines

4. LASTING 9

    Principles and methods of pre lasting and lasting operation Manual and mechanical

    method. Effect of temperature, humidity and materials in lasting and making operations. Types of machinery and the principles involved in mechanical operations. Bottom stock preparation

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    5. POST LASTING & FINISHING

    Principles and methods of various post lasting and finishing operation ; Sole attaching

    preparation of lasted margin, upper preparation, sole preparation, sole cementing, upper cementing, halogenations; bottom fillers and shanks adhesive drying, heat activation, spotting, pressing, last slipping, health and safety, quality control and fault finding problems- solving, recommended bonding systems. Shoe room technique ,packing and storing technique, Dress shoe, casual footwear, women footwear, work shoe .Ethnic footwear. Jodhpur boot and various boot. Safety footwear.

    Total Number of Periods = 45

REFERENCES:

1. Patrick, H.J., “Modern pattern cutting and design”, Mobbs and Lewis Ltd., Kettering,

    England, 1983. nd2. Lyon, D., “Modern approach to Footwear pattern cutting”, 2 Edn. 1979.

    3. Thornton, J.H., “Text book of Footwear Manufacture”, National Trade Press Ltd.,

    London, 1970.

    4. “Manual of Shoe Making” – Clarks Ltd. (London) 1978.

    5. Wilhelm, A., “Tips for shoe production” Vol. I, II & III, Huthig Buch Verlag, Heidelberg,

    1988.

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    FW9114 FOOTWEAR FABRICATION I 0 0 6 2

1. LAST 30

Central line drawing Measurements Design Insole pattern Sole pattern Forming

    clotted, Fabric, Tape & Vaccum Method. Men’s shoe standard and sction preparation (Derby, Oxford, Mocassins, Ankle boots, long boots etc.) Ladies & Children’s standard and section preparation. Design of Toe-Puff, Stiffeners, Sock.

2. UPPER PREPARATION 30

    Leather Assortment Grading cuttability etc. Layout preparation on paper & leather. Leather consumption calculation; parallelogram and other methods. Hand and Machine cutting Fabric and other sheet materials; Layout; Preparation and cutting Pre Assemble operation Closing Operation.

     Total Number of periods = 60

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    SEMESTER II

    FW9121 TECHNOLOGY FOR SPECIALTY & NON LEATHER FOOTWEAR

    MANUFACTURING

    3 0 0 3

1. LASTING 5

Principles and methods of lasting for different types of construction Manual and

    mechanical method. Effect of temperature, humidity and materials in lasting and making operations. Types of machinery and the principles involved in mechanical operations. Management of the lasting and making department.

    2. GOOD YEAR WELTED CONSTRUCTION 9

Principle of Good Year Welted construction; preparation of uppers; Insoles Rib

    attaching Sewing in welt sole attaching Variation in the welted method. Finishing

    and machinery.

3. STITCHDOWN AND OTHER CONSTRUCTION 11

    Principle and methodology of Stitchdown Construction. Upper preparation- The machine

    & sewn method; Veldtschoen construction: Veldtschoen Turnshoes & Little way

    method. California , Sanfranscino, DVP and DMS.

4. SPORTS & MOULDED FOOTWEAR 11

     Footwear’s for sports . Relation between surface, activity and footwear. Materials and method of construction Preparation of uppers, sequence of operations, sponge rubber, moulded on slippers, soled rubber moulded on footwear, thermoplastic injection moulded on footwear, cellular polyurethane moulded on footwear, Health and Safety

6. ORTHOPEDIC & THERAPEUTIC FOOTWEAR

     9

    Need of Pedorthic and anatomically-correction, friction reduction and comfort qualities, off loading technique, materials and construction, evaluation technique

     Total Number of Periods = 45

    REFERENCES:

    1. Thornton, J.H., “Text book of footwear Manufacture”, National Trade Press

    Book Ltd., London, 1970.

    2. Skoggard, I.A., “Modern Shoe Making Lasting”, SATRA Publication,

     Sharpe,1996

     3. Miller, R.G., “Manual of Shoe Making”, Clarks Ltd., London, 1978

     9

    CR9111 MATERIALS SCIENCE 3 0 0 3

    Course deals about various non leather materials in Footwear Industries. Mechanical Properties, Elasticity and their behaviour towards water

1. CHARACTERISATION OF MATERIALS 10

    Outline of spectroscopy methods, x-ray diffraction, electron microscopy, optical microscopy and applications to material characterization and Identification of polymeric materials, glass transition in polymers, methods of measuring it.

    2. COMPONENTS 8

    Insole: Raw material - Kind of insoles: Leather Board of stock preparation - Board making. Heel: Injection moulded heels: mould design, raw materials selection - injection moulding and finishing.

3. GRINDERIES AND CHEMICALS 9

    Last: Raw material - Manufacture of wooden last, Plastic last and metal last. Constitutents and Manufacture of fibreboards. Plastic back part insole and stiffener board. Shank, Raw Material - Wood, Fibre board Steel, combined wooden board or steel and board, manufacture technique.

    Adhesive: Types of adhesives used in shoe making, raw materials - formulation and manufacture.

    Grinderies: Metallic grinderies - tack, rivet and nails, wires - raw materials - sorting and polishing.

4. FASTENERS & ACCESSORIES 9

    Fasteners: Threads, Lace Fabrics: Raw Material Manufacture Technique and Finishing.

    Eyelets: Raw materials - designing and manufacturing processes.

    Slide fasteners: Types of materials used in slide fasteners - manufacturing processes. Accessories

    Ornaments, embellishments, studs, methods of manufacture, moulding, electroplating and polishing.

5. REINFORCEMENTS 9

    Toe-puff and Stiffeners: Types of Toe-puff and stiffeners, manufacture techniques - Paint on liquids, impregnated fabrics, print on hot-melt resin, filmic. Recommended use. Non-metallic grinderies: Reinforcement tape - tape preparation - Vulcanization of adhesive. Fibre fastening, Velcro, etc.

     Total Number of Periods = 45

REFERENCES:

1. Thornton, J.H., “Text book of Footwear Materials”, The National Trade Press

     Ltd., London, 1970.

    2. Harvey, A.J., “Footwear Materials and Process Technology”, N.Z. Leather &

    Shoe Research Association, New Zealand,1982.

    3. Ahuja, S. and Jespersen, N., “Modern Instrumental Analysis”, Elsevier, 2006.

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