# Courses

** **

**AE 201 (AUG) 3:0**

**Flight and Space Mechanics**

Instructor(s) **AE Faculty**

**Reference**

Anderson, J.D. Jr., Introduction to Flight, Fifth Edition, McGraw Hill Higher Education 2007.

** **

**AE 202 (AUG) 3:0**

**Fluid Dynamics**

Instructor(s) **AE Aerodynamics Faculty**

**References**

Kundu, P.K., Cohen, I.M. and Dowling, D.R., Fluid Mechanics, Academic Press, 2016.

Fay, J.A., Introduction to Fluid Mechanics, Prentice Hall of India, 1996.

Gupta, V. and Gupta, S.K., Fluid Mechanics and its Applications, Wiley Eastern, 1984.

Kuethe, A.M. and Chou, S.H., Foundations of Aerodynamics, Wiley, 1972.

** **

**AE 203 (AUG) 3:0**

**Mechanics and Thermodynamics of Propulsion**

Instructor(s) **AE Propulsion Faculty**

**References **

Philip G. Hill and Carl R. Peterson. “Mechanics and thermodynamics of propulsion.” Reading, MA, Addison-Wesley Publishing Co., 1992.

Nicholas Cumpsty and Andrew Heyes, Jet propulsion. Cambridge University Press, 2015.

Jack D. Mattingly, Elements of gas turbine propulsion. McGraw-Hill, 1996.

** **

**AE 204 (AUG) 3:0**

**Flight Vehicle Structures**

Instructor(s) **AE Structures Faculty**

**References**

Sun, C.T., Mechanics of Aircraft Structures, John Wiley and Sons, New York, 2006.

Megson, T.H.G., Aircraft Structures for Engineering Students, Butterworth-Heinemann, Oxford, 2013.

Lecture notes.

** **

**AE 205 (AUG) 3:0**

**Navigation, Guidance**

**and Control**

Instructor(s) **AE Navigation, Guidance and Control (NGC) Faculty**

**References**

AE NGC Faculty, *Lecture Notes*.

Skolnik, M. I., *Introduction to Radar Systems, *2nd edition*, *McGraw Hill Book Company.

Bose A., Bhat, K. N., Kurian T*., Fundamentals of Navigation and Inertial Sensors*, 1st edition, Prentice-Hall India.

Noureldin, A., Karamat, T. B., and Georgy, J*., Fundamentals of Inertial Navigation, Satellite-based Positioning and their Integration*, 1st edition , Springer.

Nise, N.S., *Control Systems Engineering, *6th edition*, *John Wiley and Sons Inc.

Shneydor, N. A., *Missile Guidance and Pursuit: Kinematics, Dynamics and Control, *1st edition*, *Horwood Publishing.

**Non-theory Core Courses**

** **

**AE 296 (AUG) 0:1**

**Experimental Techniques in Aerospace Engineering**

Instructor(s) **AE Faculty**

** **

**AE 297 (4th semester) 1 credit**

**Aerospace Seminar**

**Special topics in Aerospace Engineering**

** **

**AE 291 and AE 292 (2nd (August) and 3rd semester (January)) 3 credits each**

**Special Topics in Aerospace Engineering 1 & 2**

Instructor(s) **AE Faculty**

**MTech Dissertation**

** **

**AE 299 (3rd and 4th semester) 20 credits**

**Dissertation Project**

Instructor(s) **AE Faculty **

**Math requirement**

Math requirement can be AE math courses, or courses from Math@IISc, or courses from CDS@IISc.

** **

**AE 211 (JAN) 3:0**

**Mathematical methods for Aerospace Engineers**

Instructor(s) **AE Faculty**

**References**

Erwin Kreysig, Advanced Engineering Mathematics Wiley 2015.

**Electives**

*Aerodynamics *

*(Course numbers in the range AE 221 – AE 239; AE 321 – AE 339)*

*Aerospace Propulsion *

*(Course numbers in the range AE 241 – AE 249; AE 341 – AE 349)*

*Aerospace Structures *

*(Course numbers in the range AE 251 – AE 269; AE 351 – AE 369)*

*Navigation, Guidance, and Control*

*(Course numbers in the range AE 271 – AE 279; AE 371 – AE 379)*

*Aerodynamics*

*(Course numbers in the range AE 221 – AE 239; AE 321 – AE 339)*

** **

**AE 221 (JAN) 3:0**

**Aerodynamics**

**AE 202**

Introduction to aerodynamics, potential flows, conformal mapping and Joukowski airfoils, Kutta condition, thin airfoil theory, viscous effects and high-lift flows, lifting line theory, vortex lattice method, delta wings, compressibility effect, supersonic flows, unsteady aerodynamics.

Instructor **O N Ramesh or N Balakrishnan **

**References**

Houghton, E.L. and Carpenter, P.W., Aerodynamics for Engineering Students, Butterworth-Heinemann, 2003.

Katz, J. and Plotkin, A., Low-speed Aerodynamics, Cambridge, 2001.

Bertin, J.J. and Smith, M.L., Aerodynamics for Engineers, Prentice-Hall, 1989.

** **

**AE 222 (JAN) 3:0**

**Gas Dynamics**

**AE 202**

Fundamentals of thermodynamics, propagation of small disturbances in gases, normal and oblique shock relations, nozzle flows, one-dimensional unsteady flow, small disturbance theory of supersonic speeds, generation of supersonic flows in tunnels, supersonic flow diagnostics, supersonic flow over two-dimensional bodies, shock expansion analysis, method of characteristics, one-dimensional rarefaction and compression waves, flow in shock tube.

Instructor **G Jagadeesh or Srisha Rao or J Mathew**

**References**

Liepmann, H.W. and Roshko, A., Elements of Gas Dynamics, John Wiley, 1957.

Becker, E., Gas Dynamics Academic Press, New York, 1968.

Anderson, J.D., Modern Compressible Flow, McGraw Hill, 1990.

Zucrow, M.J. and Hoffman, J.D., Gas Dynamics, Vols. 1-2, Wiley, 1976.

Zucker, R.D. and Biblarz, O., Fundamentals of Gas Dynamics, Wiley, 2002.

** **

**AE 223 (AUG) 3:0**

**Hypersonic Flow Theory**

**AE 202, AE 222**

Characteristic features of hypersonic flow, basic equations boundary conditions for inviscid flow, shock shapes over bodies, flow over flat plate, flow over a wedge, hypersonic approximations, Prandtl-Meyer flow, axisymmetric flow over a cone. Hypersonic small disturbance theory, applications to flow over a wedge and a cone, blast wave analogy, Newtonian impact theory, Busemann centrifugal correction and shock expansion method, tangent cone and tangent wedge methods. Introduction to viscous flows, hypersonic boundary layers, non-equilibrium high enthalpy flows. High enthalpy impulse test facilities and instrumentation. Computational fluid mechanics techniques for hypersonic flows, methods of generating experimental data for numerical code validation at hypersonic Mach numbers in hypervelocity facilities.

Instructor **G Jagadeesh **

**References**

Cherynl, C.G., Introduction to Hypersonic Flow, Academic Press, 1961.

Hayes, W.D. and Problein, R.F., Hypersonic Flow Theory, Academic Press, 1959.

Cox, R.N. and Crabtree, L.P., Elements of Hypersonic Aerodynamics, London, 1965.

** **

**AE 224 (JAN) 3:0**

**Advanced Fluid Dynamics**

**AE 202 or equivalent**

Viscosity, stress tensor, Navier-Stokes equations, boundary conditions. Parallel flows in ducts, Stokes/Rayleigh problems, laminar boundary layers, viscous compressible flow. Nature of turbulent flows, Reynolds decomposition and equations, turbulence modelling and computation, free shear and wall-bounded flows, DNS/LES.

Instructor **J Mathew **

**References**

White, F.M., Viscous Fluid Flow, McGraw-Hill, 2005.

Kundu, P.K., Cohen, I.M. and Dowling, D.R., Fluid Mechanics, Academic Press, 2016.

Pope, S.B., Turbulent Flows, Cambridge, 2000.

** **

**AE 225 (JAN) 3:0**

**Boundary Layer Theory**

**AE 202 or equivalent**

Discussions on Navier-Stokes equation and its exact solutions, boundary layer approximations, two-dimensional boundary layer equations, asymptotic theory, Blasius and Falkner Skan solutions, momentum integral methods, introduction to axisymmetric and three-dimensional boundary layers, compressible boundary layer equations, thermal boundary layers in presence of heat transfer, higher-order corrections to the boundary layer equations, flow separation – breakdown of the boundary layer approximation and the triple deck analysis, transitional and turbulent boundary layers – introduction and basic concepts.

Instructor **Sourabh S Diwan**

**References**

Schlichting, H., Boundary Layer Theory, McGraw-Hill, 1968.

Rosenhead (ed.), Laminar Boundary Layers, Clarendon Press, 1962.

van Dyke, M., Perturbation Methods in Fluid Mechanics, Academic Press, 1964.

Recent Literature.

** **

**AE 226 (JAN) 3:0**

**Turbulent Shear Flows**

**AE 202 or equivalent**

Origin of turbulence, laminar-turbulent transition, vortex dynamics, statistical aspects of turbulence, scales in turbulence, spectrum of turbulence, boundary layers, pipe flow, free shear layers, concepts of equilibrium and similarity, basic ideas of turbulence modeling, measurement techniques.

Instructor **O N Ramesh or J Mathew**

**References**

Tritton, D.J., Physical Fluid Dynamics, Oxford University Press.

Tennekes, H. and Lumley, J., A First Course in Turbulence, M.I.T. Press.

Townsend, A.A., The Structure of Turbulent Shear Flow, Cambridge Univ. Press.

** **

**AE 227 (JAN) 3:0**

**Numerical Fluid Flow**

**AE 202 or equivalent**

Introduction to CFD, equations governing fluid flow, hyperbolic partial differential equations and shocks, finite difference technique and difference equations, implicit difference formula, time discretization and stability, schemes for linear convective equation, analysis of time integration schemes, monotonicity, schemes for Euler equations, finite volume methodology. Introduction to unstructured mesh computations.

Instructor **N Balakrishnan **

**References**

Charles Hirsch, Numerical Computation of Internal and External Flows, Vols.1-2, Wiley-Interscience publication, 1990.

** **

**AE 228 (AUG) 2:1**

**Computation of Viscous flows**

**AE 227**

Review of schemes for Euler equations, structured and unstructured mesh calculations, reconstruction procedure, convergence acceleration devices, schemes for viscous flow discretization, positivity, turbulence model implementation for unstructured mesh calculations, computation of incompressible flows. Introduction to LES and DNS.

Instructor** N Balakrishnan **

** **

**AE 229 (JAN) 3:0**

**Computational Gas Dynamics**

**AE 202, AE 222, courses in Numerical Analysis/Numerical Methods, and any programming language.**

Governing equations of compressible fluid flows, classification of partial differential equations, analysis of hyperbolic conservation laws, basics of discretization, finite difference and finite volume methods, numerical diffusion, numerical methods for scalar and vector conservation laws, central and upwind discretization methods, flux splitting methods, Riemann solvers, kinetic (Boltzmann) schemes, relaxation schemes.

Instructor **S V Raghurama Rao **

**References**

Laney, B., Computational Gas Dynamics.

Toro, E.F., Riemann Solvers and Numerical Methods for Fluid Dynamics.

Godlewski, E., and Raviart, P., Numerical Approximation of Hyperbolic System of Conservation Laws.

** **

**AE 230 (JAN) 3:0**

**Numerical Grid Generation and Flow Computations**

Instructor **Prakash S Kulkarni **

**References**

Tannehill, J.C., Anderson, D.A. and Fletcher, R.H., Computational Fluid Mechanics and Heat Transfer.

Anderson, Computational Fluid Dynamics – Basics and applications.

Joe Thompson, Numerical Grid Generation.

** **

**AE 231 (AUG) 3:0**

**Aerodynamic Testing Facilities and Measurements**

**AE 202 or equivalent**

Aerodynamic testing in various speed regimes, requirements of aerodynamic testing, design aspects of low speed wind tunnels, flow visualization methods, measurement methods for flow variables. Wind tunnel balances, elements of computer-based instrumentation, measurements and analyses methods. Elements of high speed wind tunnel testing: design aspects to supersonic and hypersonic wind-tunnels, other high speed facilities like shock tube shock tunnels, free piston tunnels, ballistic ranges and low density tunnels, special aspects of instrumentation for high speed flows.

Instructors **Duvvuri Subrahmanyam, Sourabh S Diwan, and Srisha Rao**

**References**

William H Roe Jr., and Alan Pope, Low Speed Wind Tunnel Testing Wiley and Sons, 1984.

Pankhrust, R.C., and Holder, D.W., Wind-Tunnel technique, Sir Isaac Sons Ltd., London, 1968.

Lukasiewicz, J., Experimental methods of Hypersonic, Marcel Dekker in New York, 1973.

Alan Pope and Kenneth L Going, High-Speed Wind Tunnel Testing, Wiley and Sons, 1965.

** **

**AE 321 (JAN) 3:0**

**Hydrodynamic Stability**

Prerequisite **AE 202 or equivalent and consent of Instructor.**

Hydrodynamic stability theory for laminar-turbulent transition. Linearized flow equations, normal mode analysis, the eigenvalue problem (EVP) and instability criteria: Rayleigh equation, discussion of Kelvin- Helmholtz and other instabilities. Boundary layer stability: Orr-Sommerfeld equations, Tollmien-Schlichting waves, dual role of viscosity. Introduction to spatio-temporal, absolute and convective instabilities, secondary instability theories. Weakly non-parallel shear flow instability: parabolized stability equation (PSE) methods, extensions to include nonlinearity. Global stability theory, non-parallel two and three-dimensional flow with multiple inhomogeneous directions. Nonmodal treatment of hydrodynamic stability as an initial value problem (IVP), optimal perturbations.

Instructor **Arnab Samanta **

**References**

Schmid, P. and Henningson, D., Stability and transition in shear flows, Springer, 2001.

Drazin, P.G. and Reid, W.H., Hydrodynamic stability, Cambridge University Press, 2004.

Recent Literature.

** **

**AE 322 (JAN) 3:0**

**Aeroacoustics**

**AE 202 or equivalent and consent of instructor.**

Review of classical acoustics: linearized equations of motion; classical wave equation: plane and spherical waves, wave propagation in homogeneous and inhomogeneous media; models for acoustic sound sources: point sources, monopoles, dipoles and quadrupoles, Green’s function solutions for wave equations, Kirchhoff-Helmholtz theorem for rigid boundaries. Aeroacoustic sources: Lighthill’s acoustic analogy, integral solutions and far-field approximations; effect of solid surface: Curle’s theory and Ffowcs Williams-Hawkings’ equation. Computational approaches: numerical aspects; direct methods: Reynolds-averaged Navier-Stokes equations (RANS), direct numerical simulations (DNS), application of large eddy simulations (LES); hybrid methods: flow-sound separation, numerical evaluation of Lighthill’s integral.

Instructor **Arnab Samanta **

**References**

Pierce, A.D., Acoustics, Acoustical Society of America, 1989.

Howe, M.S., Theory of Vortex sound, Cambridge, 2003.

Crighton, D.G., Basic principles of aerodynamic noise generation, Prog. Aerospace Sci., 16(1), 1975, pp. 31-96.

Crighton, D.G., Dowling, A.P.,Ffowcs Williams, J.E., Heckl, M. and Leppington, F.G., Modern methods in analytical acoustics, Springer, 1992.

Lecture notes.

*Aerospace Propulsion *

*(Course numbers in the range AE 241 – AE 249; AE 341 – AE 349)*

** **

**AE 241 (JAN) 3:0**

**Combustion**

Instructor **K N Lakshmisha **

**References**

Turns, S.R., An Introduction to Combustion, McGraw-Hill, 2000.

Strehlow, R.A., Combustion Fundamentals, McGraw-Hill, 1985.

Kuo, K.K., Principles of Combustion, Wiley, 1986.

Law, C.K., Combustion Physics, Cambridge University Press, 2006.

Williams, F.A., Combustion Theory, 1985.

** **

**AE 242 (JAN) 3:0**

**Aircraft Engines**

Instructor **T S Sheshadri or D Sivakumar **

**References**

Zucrow, M.J., Aircraft and Missile Propulsion, Vols. I and II John Wiley, 1958.

Hill, P.G., and Peterson, C.R., Mechanics and Thermodynamics of Propulsion, Addison Wesley, 1965.

Shepherd, D.G., Aerospace Propulsion, American Elsevier Pub., 1972.

** **

**AE 243 (JAN) 3:0**

**Rocket Propulsion**

I

nstructor **Charlie Oommen or NKS Rajan **

**References**

Sutton, G.P., Rocket Propulsion Elements, John Wiley and Sons, 2001.

Barrare, M., et al., Rocket Propulsion, Elsevier Co., 1960.

Huzel, D.K., and Huang, D.K., Modern engineering for design of liquid-propellant rocket engines, AIAA, 1992.

** **

**AE 244 (AUG) 3:0**

**Introduction to Acoustics - I**

Instructor **T S Sheshadri **

**Reference**

Allan d’Pierce, Acoustics McGraw Hill Book Company, 1981.

** **

**AE 245 (AUG) 3:0**

**Advanced Combustion**

**AE 203 or AE 241 or AE 242 or AE 243, or equivalent. These can however be waived after discussion with the course instructors.**

Introduction: review of chemical equilibrium, heat of combustion, adiabatic flame temperature,

kinetics. Review of Reynolds transport theorem and conservation equations. Non-premixed flames: mixture fraction, coupling functions. Burke Schumann flame and droplet combustion. Premixed flames: Thermodynamic considerations – Rankine Hugoniot relations: deflagration and detonation, flame speed and thickness phenomenology. Adiabatic flame speed and flame speed with heat loss. Flame stretch, flame speed with stretch, experimental techniques to determine laminar flame speed.Chemical structure of a premixed flame. Introduction to Turbulent Combustion: RANS equations, Favre averaging, length scales, energy spectra, mixing, intermittency. Turbulent Premixed Flames: Regime Diagrams, Turbulent flame speed. Turbulent Non-Premixed Flames: Mixing, scalar dissipation rates, extinction. Introduction to Combustion Instabilities

Instructors

**Santosh Hemchandra or Swetaprovo Chaudhuri**

**References**

Combustion Physics by C. K. Law, Cambridge 2006.

Combustion Theory by F. A. Williams, Westview Press 1994.

Turbulent Combustion by N. Peters, Cambridge 2000.

Unsteady Combustor Physics by T. Lieuwen, Cambridge 2012.

Turbulent Flows by S. B. Pope, Cambridge, 2000.

Recent literature.

*Aerospace Structures *

*(Course numbers in the range AE 251 – AE 269; AE 351 – AE 369)*

** **

**AE 251 (JAN) 3:0**

**Energy and Finite Element Methods**

Prerequisite **AE 204 or ME 242 or CE 214 and knowledge of MATLAB**

Introduction to Energy Methods; Principle of Virtual Work, Principle of Minimum Potential Energy, Raleigh Ritz Method, Hamilton’s Principle. Introduction to Variational Methods, Weak form of Governing Equation, Weighted residual method, Introduction to Finite elements, and Galerkin Finite elements. Finite Element Method – Various element formulations for metallic and composite structures, isoparametric element formulation, Numerical Integration, concept of consistency, completeness and mesh locking problems. Finite element methods for structural dynamics and wave propagation, Mass and damping matrix formulation, Response estimation through modal methods, direct time integration, Implicit and Explicit Methods. Introduction to super convergent finite element formulation and spectral finite elements.

Instructor **S Gopalakrishnan **

**References**

Cook, R.D., Malkus, D.S., and Plesha, M.E., Finite Element Analysis, John Wiley & Sons, New York, 1995.

Bathe, K.J., Finite Element Procedures, Prentice Hall, New York, 1996.

Varadan, V.K., Vinoy, K.J., and Gopalakrishnan, S., Smart Material Systems and MEMS, John Wiley & Sons, UK, 2006.

Gopalakrishnan, S., Chakraborty, A., and Roy Mahapatra, D., Spectral Finite Elements, Springer Verlag, UK, 2008.

** **

**AE 252 (JAN) 3:0**

**Analysis and Design of Composite Structures**

Instructor **Dineshkumar Harursampath, G Narayana Naik**

**References**

Gibson, R.F., Principles of Composite Material Mechanics, CRC Press, 2nd Edition, 2007.

Jones, R.M., Mechanics of Composite Materials, 2nd Edition, Taylor & Francis, 2010 (Indian Print).

Daniel, I.M., and Ishai O., Engineering Mechanics of Composite Materials, Oxford University Press, 2nd Edition, 2005.

Reddy, J.N., Mechanics of Laminated Composite Plates and Shells – Theory and Analysis, CRC Press, 2nd Edition, 2004.

** **

**AE 253 (AUG) 3:0**

**Multi-Body Dynamics using Symbolic Manipulators**

Instructor **Dineshkumar Harursampath **

**References**

Kane, T., and Levinson, D., Dynamics Online: Theory and implementation with AUTOLEVTM. Online Dynamics Inc., Sunnyvale, CA, USA, 2000. Mitiguy, P. Advanced Dynamics and Motion Simulation, MotionGenesis, San Mateo, CA, USA, 2008.

Wolfram, S., The Mathematica® book, Cambridge University Press, 5th Edition, 2003.

** **

**AE 254 (AUG) 3:0**

**Fatigue and Failure of Materials**

Instructor **Suhasini Gururaja **

**References**

S Suresh, Fatigue of Materials, Cambridge University Press, 1991.

J Schijve, Fatigue of Structures and Materials, Kluwer Academic Publ 2001.

TL Anderson, Fracture Mechanics: Fundamentals and Applications, 3rd Edition, CRC Press 2005.

** **

**AE 255 (JAN) 3:0**

**Aeroelasticity**

**A course in solid or fluid mechanics.**

Effect of wing flexibility on lift distribution; Torsional wing divergence; Vibration of single, two, and multi-degree of freedom models of wing with control surfaces; Unsteady aerodynamics of oscillating airfoil; Bending-torsion flutter of wing; Gust response of an aeroelastic airplane; Aeroservoelasticity of wing with control surfaces.

Instructor **Kartik Venkatraman **

**References**

Wright, J.R., and Cooper, J.E., Introduction to Aircraft Aeroelasticity and Loads, John Wiley, 2008.

Hodges, D.H., and Alvin Pierce, G., Introduction to Structural Dynamics and Aeroelasticity, Cambridge University Press, 2002.

Fung, Y.C., An Introduction to the Theory of Aeroelasticity, Dover edition, 2002.

Bisplinghoff, R.L., Ashley, H., and Halfman, R.L., Aeroelasticity, Dover edition, 1996.

** **

**AE 256 (JAN) 3:0**

**Wave Propagation in Structures**

Instructor **S Gopalakrishnan **

**References**

Doyle, J.F., Wave propagation in Structures, Springer Verlag, New York, 1989.

Grof, K.F., Wave motion in Elastic Solids, Dover, New York, 1975.

** **

**AE 257 (JAN) 3:0**

**Engineering Optimization**

Instructor **Ranjan Ganguli **

**Reference**

Ranjan Ganguli, Engineering Optimization: A Modern Approach, Universities Press, 2010.

** **

**AE 258 (JAN) 3:0**

**Non-Destructive Testing and Evaluation**

Prerequisite **AE 204 or equivalent**

Fundamentals and basic concepts of NDT & E, Principles and applications of different NDE tools used for testing and evaluation of aerospace structures viz., ultrasonics, radiography, electromagnetic methods,

acoustic emission, thermography. Detection and characterization of defects and damage in metallic and composite structural components.

Instructor **M R Bhat **

**Reference**

Sharpe, R.A., Research Techniques in NDT, Metals Handbook -Vol.17.

** **

**AE 259 (JAN) 3:0**

**Rotary Wing Aeroelasticity**

Instructor **Ranjan Ganguli **

**References**

Bielawa, R.L., Rotary Wing Structural Dynamics and Aeroelasticity, AIAA Education Series, 1992. Johnson, W., Helicopter Theory, Dover, 1994.

Bramwell, Done, Balmford, Bramwell’s Helicopter Dynamics, Butterworth-Heineman, 2001.

** **

**AE 260 (JAN) 3:0**

**Modal analysis: Theory and Applications**

Instructor **S B Kandagal **

**References**

Ewins, D.J., Modal analysis: Theory and Practice, Research Studies Press Ltd., England, 2000.

Clarence W. de Silva, Vibration: Fundamentals and Practice, CRC press New York, 1999

G. McConnel, Vibration testing: Theory and Practice, John Wiley & Sons, Inc., New York, 1995.

** **

**AE 261 (AUG) 3:0**

**Structural Vibration Control**

Instructor **S B Kandagal **

**References**

Nashif, D.N., Jones, D.I.G., and Henderson, J.P., Vibration damping, John Wiley, New York, 1985. Srinivasan, A.V., and McFarland, D.M., Smart Structures: Analysis and Design, Cambridge University Press, Cambridge, 2001.

Inman, D.J., Vibration with Control, John Wiley, New York, 2006.

**AE 262 (JAN) 3:0**

**Introduction to Helicopters**

Instructors **Ranjan Ganguli and S N Omkar **

**References**

Gessow, A., and Myers, G.C. Jr., Aerodynamics of the Helicopter. Frederick, Unger Publishing Co., New York, 1967.

Leishman, G.J., Principles of Helicopter Aerodynamics, Cambridge University Press, 2000.

**AE 263 (JAN) 3:0**

**Atmospheric Flight Dynamics**

**AE 201 or equivalent**

Review of equations of motion, stability derivative estimation, static stability and control, longitudinal and lateral modes, transfer function and response characteristics, feedback and automatic control, response to atmospheric gust and turbulence. Handing qualities, human pilot modelling case studies of typical airplanes, roll and spin characteristics, flight simulators, stability and control derivative estimation from wind tunnel and flight tests.

Instructors **Dinesh K Harursampath and Radhakant Padhi**

**References**

Babistor, A.H., Aircraft Stability and Control, Pergamon Press.

Elkin, B., Dynamics of Atmospheric Flight, John Wiley and Sons.

Mcroer D Ashikenbars I and Graham D., Aircraft Dynamics and Automatic Control, Princeton University Press.

ESDU Data Sheets

**AE 351 (AUG) 3:0**

**Research Techniques in Non-Destructive Evaluation**

**Ae 258 or equivalent and consent of instructor**

Quantitative non destructive evaluation involved probabilistic methods of quality control and life assessment. Signal analysis and image processing in NDE, ultrasonic, thermographic and tomographic methods for evaluation of composites.

Instructor **M R Bhat **

**References**

American Society of Metal (ASM) Hand Book, Volume 17.

Thompson, D.O., and Chimenti, D.E. Eds, Review of progress in quantitative Non Destructive Evaluation. Annual Conference proceedings.

**AE 352 (JAN) 3:0**

**Nonlinear Mechanics of Composite Structures**

**AE 252 or equivalent and consent of instructor**

Introduction to classical geometrical and physical non-linearities and non-classical geometrophysical non-linearities in structural mechanics. Mechanics of composite lamina and laminates including response and failure as affected by nonlinearities. Variational asymptotic methods of constructing nonlinear composite beam, plate and shell theories. Non-classical effects resulting from non-linearities. Effects of nonlinearities on stability of thin-walled structures. Introduction to nonlinear finite element analysis including mixed formulations. Applications to engineering structures like pipes, springs and rotor blades.

Instructor **Dineshkumar Harursampath **

**References**

Hodges, D.H., Nonlinear Composites Beam Theory, Progress in Astronautics & Aeronautics Series, 2013.

Berdichevsky, V.L., Variational Principles of Continuum Mechanics, I. Fundamentals & II. Applications. Interaction of Mechanics & Mathematics Series, Springer, 2009.

Current literature in International Journal of Nonlinear Mechanics, International Journal of Solids and Structures etc.

**AE 353 (JAN) 3:0**

**Micromechanics of composites**

Prerequisites

**Solid mechanics or equivalent and consent of instructor**

Introduction to tensors, properties of tensors, concepts of isotropy and anisotropy, micromechanical homogenization theory, Eshelby’s approach, self-consistent schemes, Mori-Tanaka Mean field theory, bounds on effective properties, concentric cylinder models, introduction to computational homogenization, introduction to damage mechanics, statistical aspects of microstructure

Instructor **Suhasini Gururaja **

**References**

Micromechanics of defects in solids, T. Mura 1982

Micromechanics of composite materials, Brett Bendnarcyk et al, 2012

Open literature

*Navigation, Guidance, and Control*

*(Course numbers in the range AE 271 – AE 279; AE 371 – AE 379)*

**AE 271 (JAN) 3:0**

**Guidance Theory and Applications**

**AE 205 or equivalent**

Fundamentals of guidance; interception and avoidance; taxonomy of guidance laws, classical and empirical guidance laws; applied optimal control and optimal guidance laws; differential games and pursuit evasion problems. Recent advances in guidance theory. Collision detection and avoidance strategies. Applications to guided missiles. Unmanned aerial vehicles and mobile robots.

Instructors** A Ratnoo and Debasish Ghose **

**References**

Zarchan, P., Tactical and Strategic Missile Guidance, AIAA Publications, 4th Edition, 2002.

G.M. Siouris, Missile Guidance and Control Systems, Springer Verlag, 2004.

N.A.Sneyhdor, Missile Guidance and Pursuit, Ellis Horwood Publishers, 1998.

**AE 272 (AUG) 3:0**

**Biologically Inspired Computing and its Applications**

**Working knowledge of MATLAB or any other programming language**

Introduction, neural networks – different learning techniques, McCulloch-Pitts neuron, perceptrons, delta rule, multilayer perceptron networks, radial basis function network, self-organizing networks. Introduction to evolutionary computing and GA, GA terminology and operators (mutation, crossover, inversion). Selection, replacement and reproduction strategies. Fitness, proportional, random, and tournament and rank based selection. Swarm intelligence – basic ideas, swarm behavior, flocking, self-organization, adaptation, multi-agent systems, trail laying, self-assembling, task handling, combinatorial optimization. Applications of biologically inspired algorithms in engineering.

Instructor **S N Omkar **

**References**

Bonabeau, E., Dorigo, M., and Theraulaz, G., Swarm Intelligence: From Natural to Artificial Systems, Oxford University Press, 1999.

Simon Haykin, Neural Networks – A Comprehensive Foundation, 2nd Edition, Prentice-Hall, Inc., 1999.

Michalewicz, Z., Genetic Algorithms+Data Structures=Evolution Programs, 3rd Edn, Springer-Verlag, Berlin, 1996.

**AE 273 (JAN) 3:0**

**Unmanned Aerial Vehicles**

**AE 201 and AE 205**

History of Unmanned Air Vehicle (UAV) development. Unmanned aircraft systems: coordinate frames, kinematics and dynamics, forces and moments, lateral and longitudinal autopilots. UAV navigation: accelerometers, gyros, GPS. Path planning algorithms: Dubin’s curves, way-points, Voronoi partitions.

Path following and guidance: Straight line and curve following, vision based guidance; Future directions and the road ahead.

Instructor **Ashwini Ratnoo **

**References**

Randal W.Beard and Timothy W.McLain: Small Unmanned Aircraft: Theory and Practice, Princeton University Press, 2012.

Kimon P.Valavanis: Advances in Unmanned Aerial Vehicles: State of the Art and the Road to Autonomy, Springer, 2007.

**AE 274 (JAN) 3:0**

**Topics in Neural Computation**

**Knowledge of algebra, numerical methods, calculus and familiarity with programming in Python and MATLAB.**

Foundation of neural networks: perceptron, multi-layer perceptron, radial basis function network, recurrent neural network; Evolving/online learning algorithms; Deep neural networks: Convolutional neural network, restricted Boltzmann machine; Unsupervised learning; Advanced topics: Reinforcement learning and deep-reinforcement learning; Spiking neural network— spiking neuron, STDP, rank-order learning, synapse model, SEFRON.

Instructors **Suresh Sundaram**

**References**

S. Haykin, Neural Networks, Pearson Education, 2ed, 2001.

**AE 371 (AUG, 3:0): ANALYSIS AND SYNTHESIS OF DYNAMICAL SYSTEMS**

**Syllabus:**

Introduction and motivation; Review of linear algebra and matrix theory; Basic numerical methods in system theory; Solution of ordinary differential equations; State space representation of dynamical systems; Linearization of nonlinear systems; Time response of linear systems in state space form; Stability, Controllability and Observability of linear systems; Pole placement control design; Fundamentals of Optimal Control Design, Linear Quadratic Regulator (LQR) for Linear time-invariant systems, Observer Design for Linear Systems.

Lyapunov stability theory for Autonomous nonlinear systems; Back-stepping design; Dynamic inversion (Feedback linearization); Optimal dynamic inversion for lumped and distributed parameter systems; Applications of neural networks in control system design; Neuro-adaptive control; Nonlinear observers; Lyapunov stability theory for Non-autonomous Systems; Adaptive control for uncertain dynamical systems.

Pre-Requisite: Consent of the Instructor; Familiarity with other dynamical/control system course(s) and/or MATLAB will be an advantage.

Instructor:

**RADHAKANT PADHI**

*References:*

Lecture Notes

E. Kreyszig: Advanced Engineering Mathematics, 10th Ed., Wiley, 2015.

J. M. Ortega: Matrix Theory: A Second Course, Springer, 2013

S. K. Gupta: Numerical Methods for Engineers, New Age International Pvt. Ltd., 2015.

N. Nise: Control Systems Engineering, Wiley, 7th Ed., 2015.

K. Ogata: Modern Control Engineering, 5th Ed., Pearson, 2009.

H. J. Marquez: Nonlinear Control Systems – Analysis and Design, Wiley, 2003.

J-J E. Slotine and W. Li: Applied Nonlinear Control, Pearson, 1991.

Current Literature

**AE 372 (JAN) 3:0**

**Applied Optimal Control and State Estimation**

**AE 205 or equivalent and familiarity with MATLAB**

Introduction and motivation review of static optimization, calculus of variations and optimal control formulation; numerical solution of two-point boundary value problems: shooting method, gradient method and quasi-linearization; Linear Quadratic Regulator (LQR) design: Riccati solution, stability proof, extensions of LQR, State Transition Matrix (STM) solution; State Dependent Riccati Equation (SDRE) design; dynamic programming: HJB theory; approximate dynamic programming and adaptive critic design; MPSP Design; optimal state estimation: Kalman filter, extended Kalman filter; robust control design through optimal control and state estimation; constrained optimal control systems: Pontryagin minimum principle, control constrained problems, state constrained problems; neighbouring extremals and sufficiency conditions. Discrete time optimal control: Generic formulation, discrete LQR.

Instructor **Radhakant Padhi **

**References**

Naidu, D.S., Optimal Control Systems, CRC Press, 2002.

Sinha, A., Linear Systems: Optimal and Robust Control, CRC Press, 2007.

Bryson, A.E., and Ho, Y-C, Applied Optimal Control, Taylor and Francis, 1975.

Stengel, R.F., Optimal Control and Estimation, Dover Publications, 1994.

Sage, A.P., and White, C.C. III, Optimum Systems Control, 2nd Ed., Prentice Hall, 1977.

Kirk, D.E., Optimal Control Theory: An Introduction, Prentice Hall, 1970. Lewis, F.L., Optimal Control, Wiley, 1986.

Lecture Notes.

**AE 373 (JAN) 3:0**

**Cooperative Control with Aerospace Applications**

Instructor **D Ghose **

**References**

Shamma, J. (ed), Cooperative Control of Distributed Multi-Agent Systems, John Wiley, 2008.

Qu, Z., Cooperative Control of Dynamical Systems, Springer Verlag, 2009.

Ren, W., and Beard, R., Distributed Consensus in Multi-vehicle Cooperative Control: Theory and Applications, Springer, 2007.

Rasmussen, S., and Shima, T. (Eds.), UAV Cooperative Decision and Control: Challenges and Practical Approaches, SIAM Publications, 2008.

**AE 372 (JAN): Applied Optimal Control and State Estimation**

**AE 372 (JAN): Applied Optimal Control and State Estimation**

**Pre-requisite: **AE 205 or Equivalent

**Syllabus: **

Review of State Space Approach and Matrix Theory; Static Optimization; Calculus of Variation; Optimal Control Formulation through Calculus of Variation: Necessary Conditions of Optimality and TPBVP formulation, Transversality conditions; Classical Techniques to Solve TPBVP: Shooting, Gradient, Quasi-Linearization Methods; Transcription Method: Model Predictive Control (MPC); Pseudo-spectral Method; Model Predictive Static Programming (MPSP) Design and Guidance Applications; Linear Quadratic Regulator (LQR) Theory, Extensions of LQR; State Transition Matrix (STM) Solution, Linear Optimal Missile Guidance; State-Dependent Riccati Equation (SDRE) Design; Dynamic Programming: Hamilton-Jacobi-Bellman (HJB) theory; Approximate Dynamic Programming and Adaptive Critic Design; Discrete-time Optimal Control: Generic Formulation, Discrete LQR; Optimal Impulse Control; LQ Observer and Overview of State Estimation; Review of Probability and Random Variable Theory; Optimal State Estimation using Kalman Filter: CKF, DKF, CDKF and EKF; LQG Design; Sufficiency condition for optimality; Neighbouring optimal control; Constrained Optimal Control: Pontryagin’s Minimum Principle, Time, and Energy Optimal Control of LTI systems, State Constrained Problems

**Radhakant Padhi**

**References:**

*Lecture notes*- D. S. Naidu:
*Optimal Control Systems*, CRC Press, 2002. - A. E. Bryson and Y-C Ho:
*Applied Optimal Control*, Taylor and Francis, 1975. - A. P. Sage and C. C. White, III:
*Optimum Systems Control (2*, Prentice Hall, 1977.^{nd}Ed.) - D. E. Kirk:
*Optimal Control Theory: An Introduction*, Prentice Hall, 1970. - J. L. Crassidis, J. L. Junkins,
*Optimal Estimation of Dynamic Systems*,*CRC Press, 2012.* *D. Simon, Optimal State Estimation, Wiley, 2006.*