MTech in Mechanical Engineering

(Specialization: Machine Design)

 

Semester - 1

 

Semester - 2

 

 

 

 

 

Course No

Course Name

L-T-P-C

 

Course No

Course Name

L-T-P-C

ME 501

Advanced Engineering Mathematics

3-0-2-8

 

ME 532

Finite Element Methods in Engineering

3-0-0-6

ME 530

Advanced Mechanics of Solids

3-0-0-6

 

ME 533

Engineering Design Methodology

2-0-2-6

ME 531

Mechanical Vibration

3-0-0-6

 

ME 6xx

Elective III

3-0-0-6

ME 6xx

Elective I

3-0-0-6

 

ME 6xx

Elective IV

3-0-0-6

ME 6xx

Elective II

3-0-0-6

 

ME 6xx

Elective V

3-0-0-6

 

 

 

 

 

 

 

 

Total Credits:

15-0-2-32

 

 

Total Credits:

14-0-2-30

 

 

 

 

 

 

Semester - 3

 

 

Semester 4

 

 

 

 

 

 

Course No

Course Name

L-T-P-C

 

Course No

Course Name

L-T-P-C

ME 610

Project Phase I

0-0-24-24

 

ME 690

Project Phase II

0-0-24-24

 

 

 

 

 

 

 

 

Total Credits:

0-0-24-24

 

 

Total Credits:

0-0-24-24

 

ME 501             Advanced Engineering Mathematics   (3-0-2-8)            

 

Vector and Tensor Analysis in Cartesian system, effect of rotation of coordinate systems.

Review of ODEs; Laplace & Fourier methods, series solutions, and orthogonal polynomials.  Sturm-Liouville problem. Review of 1st and 2nd order PDEs.  Linear systems of algebraic equations. Gauss elimination, LU decomposition etc., Matrix inversion, ill-conditioned systems.  Numerical eigen solution techniques (Power,   Householder, QR methods etc.). Numerical solution of systems of nonlinear algebraic equations; Newton-Raphson method.  Numerical integration: Newton-Cotes methods, error estimates, Gaussian quadrature. Numerical solution of ODEs: Euler, Adams, Runge-Kutta methods, and predictor-corrector procedures; stability of solutions; solution of stiff equations.  Solution of PDEs: finite difference techniques. Probability and Statistics – Probability Distribution, Bays Theorem, Parameter Estimation, Testing of Hypothesis, Goodness of Fit.

 

Laboratory: Basics of programming. Numerical experiments with the algorithms covered in class.

 

Texts/References:

 

1.       E. Kreyzig, Advanced Engineering Mathematics, New Age International, 1996.

2.       D. S. Watkins, Fundamentals of Matrix Computations, John Wiley, 1992.

3.       M. K. Jain, S. R. K. Iyengar, and R. K. Jain, Numerical Methods for Scientific and

        Engineering Computation, 3rd Ed., New Age International, 1993.

4.       D.S. Chandrashekaraiah and L. Debnath, Continuum Mechanics, Academic Press, 1994.

5.     M.K. Jain, S.R.K. Iyenger and R.K. Jain, Computational Methods for Partial Differential Equations, New Age International, 1994.

6.       R. Courant and D. Hilbert, Methods of Mathematical Physics, Wiley, 1989.

7.       P.V. O’Neil, Advanced Engineering Mathematics, Cengage Learning, 2007.

8.       4. George B. Arfken, G. B. Arfken, H. J. Weber and F.Harris, Mathematical Methods for Physicists, 5th Ed., Academic Press, 2000.

 

 

ME 530                                                 Advanced Mechanics of Solids                                    (3 0 0 6)

 

Analysis of Stresses and Strains in rectangular and polar coordinates: Cauchy’s formula, Principal stresses and principal strains, 3D Mohr’s Circle, Octahedral Stresses, Hydrostatic and deviatoric stress, Differential equations of equilibrium, Plane stress and plane strain, compatibility conditions. Introduction to curvilinear coordinates. Generalized Hooke’s law and theories of failure. Energy Methods. Bending of symmetric and unsymmetric straight beams, effect of shear stresses, Curved beams, Shear center and shear flow, shear stresses in thin walled sections, thick curved bars. Torsion of prismatic solid sections, thin walled sections, circular, rectangular and elliptical bars, membrane analogy. Thick and thin walled cylinders, Composite tubes, Rotating disks and cylinders. Euler’s buckling load, Beam Column equations. Strain measurement techniques using strain gages, characteristics, instrumentations, principles of photo-elasticity.

 

Text:

1.       L. S. Srinath, Advanced Mechanics of Solids, 2nd Edition, TMH Publishing Co. Ltd., New Delhi, 2003.

 

References:

1.       R. G. Budynas, Advanced Strength and Applied Stress Analysis, 2nd Edition, McGraw Hill Publishing Co, 1999.

2.       A. P. Boresi, R. J. Schmidt, Advanced Mechanics of Materials, 5th Edition, John Willey and Sons Inc, 1993.

3.       S. P. Timoshenko, J. N. Goodier, Theory of Elasticity, 3rd Edition, McGraw Hill Publishing Co. 1970.

4.       P. Raymond,  Solid Mechanics for Engineering, 1st Edition, John Willey & Sons, 2001.

5.       J. W. Dally and W. F. Riley, Experimental Stress Analysis, 3rd Edition, McGraw Hill Publishing Co., New York, 1991.

 

 

ME 531                                                             Mechanical Vibration                                        (3 0 0 6)

 

Generalised co-ordinates, constraints, virtual work; Hamilton's principle, Lagrange's equations; Discrete and continuous system; Vibration absorbers; Response of discrete systems - SDOF & MDOF: free-vibration, periodic excitation and Fourier series, impulse and step response, convolution integral; Modal analysis: undamped and damped non-gyroscopic, undamped  gyroscopic, and general dynamical systems.  Effect of damping; Continuous systems: vibration of strings, beams, bars, membranes and plates, free and forced vibrations; Raleigh-Ritz and Galerkin's methods. Measurement techniques.     

 

Texts:

 

1.     L Meirovitch, Elements of Vibration Analysis, McGraw Hill, Second edition, 1986.

2.     Meirovitch, Principles & Techniques of Vibrations, Prentice Hall International (PHIPE), New Jersey, 1997.

3.     W T Thomson, Theory of Vibration with Applications, CBS Publ., 1990.

4.     F S Tse,  I E Morse and  R T Hinkle, Mechanical Vibrations, CBS Publ., 1983.

5.     J S Rao  and K Gupta, Theory and Practice of Mechanical Vibrations,  New Age Publication, 1995.

 

 

ME 532                                                 Finite Element Methods in Engineering                                   (3 0 0 6)

 

Introduction: Historical background, basic concept of the finite element method, comparison with finite difference method; Variational methods: calculus of variation, the Rayleigh-Ritz  and Galerkin methods; Finite element analysis of 1-D problems: formulation by different approaches (direct, potential energy and Galerkin); Derivation of elemental equations and their assembly, solution and its postprocessing.  Applications in heat transfer, fluid mechanics and solid mechanics. Bending of beams, analysis of truss and frame.  Finite element analysis of 2-D problems: finite element modelling of single variable problems, triangular and rectangular elements;  Applications in heat transfer, fluid mechanics and solid mechanics;  Numerical considerations: numerical integration, error analysis, mesh refinement. Plane stress and plane strain problems; Bending of plates; Eigen  value and time dependent problems; Discussion about preprocessors, postprocessors and finite element packages.

 

Texts:

 

1. J N Reddy, An introduction to the Finite Element Method, McGraw-Hill, New York, 1993.

2. R D Cook,  D S  Malkus and M E Plesha, Concepts and  Applications of Finite Element Analysis, 3d ed., John Wiley, New York, 1989.

3. K J Bathe, Finite Element Procedures in Engineering Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1982.

4. T J T Hughes, The Finite Element Method, Prentice-Hall, Englewood Cliffs, NJ, 1986.

5. O C Zienkiewicz and R L Taylor,  The Finite Element Method, 3d ed. McGraw-Hill, 1989.

 

 

ME 533                                                             Engineering Design Methodology                                (2 0 2 6)

 

Fundamentals: principles of design, systematic approach, need analysis and design of specification; Conceptual design: developing function structure, developing concepts by systematic search with physical principles, classifying schemes; Concept selection: matrix methods, necessity methods, probability methods, fuzzy set based methods, case study on consumer product; Embodiment design: basic rules, system modeling, preliminary design calculations and material selection, design considerations like force alignment, vibration etc., failure modes and effects analysis, design for manufacturability and assembly, case studies on design of machines; Optimal and robust design:  design problem formulation for analytical and numerical solution, design of experiments, Taguchi’s method; Reverse engineering; Physical prototyping; Lab: conceptual design, reverse engineering, design of simple sensors and actuators, hydraulic and pneumatic systems, motors and controller, product teardown and redesign, embodiment design, CAE analysis, prototyping, design project.

 

Texts:

 

1.     Yousef Haik, Engineering Design Process, Vikas Publishing house, New Delhi, 2003.

2.     G. Pahl, and W. Beitz, Engineering Design – A Systematic Approach, Springer – Verlag, 1996.

 

References

1.     K. Otto and K. wood, Product Design – techniques in reverse engineering and new product development, Pearson Education, New Delhi, 2004.

2.     A. Ertas and J. C. Jones, The Engineering Design Process, 2nd ed., John Wiley and Sons, 1996.

3.     A. Kusiak, Engineering Design – Products, Processes and Systems, Academic Press, 1999.

4.     C. L. Dym and P. Little, Engineering Design – A Project based Introduction, John Wiley, 2000.

5.     G. E. Dieter, Engineering Design – A Materials and Processing Approach, 3rd ed., McGraw-Hill International, 2000.

6.     E. Kroll, S. S. Condoor and D. G. Jonsson, Innovative Conceptual Design – Theory and Application of Parameter Analysis, Cambridge Univ. Press, 2001.