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M.Tech Aerospace Engineering MTECH AEROSPACE QUESTION BANK MALLAREDDY COLLEGE OF ENGINEERING & TECHNOLOGY (Autonomous Institution – UGC, Govt. of India) Sponsored by CMR Educational Society (Affiliated to JNTU, Hyderabad, Approved by AICTE - Accredited by NBA & NAAC – ‘A’ Grade - ISO 9001:2008 Certified) Maisammaguda, Dhulapally (Post Via Hakimpet), Secunderabad – 500100, Telangana State, India. Contact Number: 040-23792146/64634237, E-Mail ID: [email protected],website:www.mrcet.ac.in DEPARTMENT OF AERONAUTICAL ENGINEERING M.TECH AEROSPACE ENGINEERING AERONAUTICAL DEPARTMENT Page 1 MTECH AEROSPACE QUESTION BANK M.TECH AEROSPACE ENGINEERING I YEAR I SEMESTER QUESTION BANK CONTENTS S.NO SUBJECT PAGE NUMBER 1 Mathematical Modeling 5 2 Engineering Analysis of Flight Vehicles 14 3 Rocket and Missile Technology 23 4 ELECTIVE-1 1. Fundamentals of Aerospace Engineering * 27 2. Aerodynamics of Flight Vehicles 38 3. Flight Vehicle Structures 47 5 ELECTIVE-2 1.Modeling and Simulation of Fluid Flows 49 2.Computational Structural Analysis 61 3.Integrated Aircraft systems 62 6 OPEN ELECTIVE-I 1.Continuum Mechanics 64 2.Air-breathing Propulsion 71 3.Rotorcraft Aerodynamics 76 AERONAUTICAL DEPARTMENT Page 2 MTECH AEROSPACE QUESTION BANK M.TECH- AEROSPACE ENGINEERING I YEAR I SEMESTER COURSE STRUCTURE I Year I Semester S.NO. SUBJECT SUBJECT L T/P/D C MAX MARKS CODE INT EXT 1 R15D7601 Mathematical Modeling 4 - 3 25 75 2 R15D7602 Engineering Analysis of Flight Vehicles 4 - 3 25 75 3 R15D7603 Rocket and Missile Technology 4 - 3 25 75 Elective-1 4 - 3 25 75 R15D7604 1) Fundamentals of Aerospace Engineering * 4 R15D7605 2)Aerodynamics of Flight Vehicles R15D7606 3)Flight Vehicle Structures Elective-2 4 - 3 25 75 R15D7607 1)Modeling and Simulation of Fluid Flows 5 R15D7608 2)Computational Structural Analysis R15D7609 3)Integrated Aircraft systems Open Elective-I 4 - 3 25 75 R15D7610 1)Continuum Mechanics 6 R15D7611 2)Air-breathing Propulsion R15D7612 3)Rotorcraft Aerodynamics 7 R15D7681 Digital Simulation Lab-I - 3 2 25 75 8 R15D7682 Technical Seminar - I - - 2 50 Total 24 3 22 225 525 NOTE: *Fundamentals of Aerospace Engineering (Required to be taken by all students other than B.Tech Aeronautical/ Aerospace Engineering degree holders) AERONAUTICAL DEPARTMENT Page 3 MTECH AEROSPACE QUESTION BANK I Year II Semester S.NO. SUBJECT SUBJECT L T/P/D C MAX MARKS CODE INT EXT 1 R15D7613 Aircraft Control and Simulation 4 - 3 25 75 2 R15D7614 Aerospace Sensors and Measurement 4 - 3 25 75 Systems 3 R15D7615 Computational Approaches to Aerospace 4 - 3 25 75 Vehicle Design 4 Elective-III 4 - 3 25 75 R15D7616 1)Aero-thermodynamics of Hypersonic Flight R15D7617 2) Advanced Topics in Air Traffic Management Systems R15D7618 3)Spacecraft Dynamics and Control 5 Elective-IV 4 - 3 25 75 R15D7619 1) Communication Navigation and Surveillance Systems R15D7620 2)Space Transportation Systems R15D7621 3)Dynamics and Control of Structures 6 Open Elective- II 4 - 3 25 75 R15D7622 1) Tactical Missile Design R15D7623 2)High Angle of Attack Aerodynamics R15D7624 3)Optimal Control 7 R15D7683 Digital Simulation Lab-II - 3 2 25 75 8 R15D7684 Technical Seminar-II - - 2 50 Total 24 3 22 225 525 II Year I Semester S.NO. SUBJECT SUBJECT L T/P/D C MAX MARKS CODE INT EXT 1 - Project Review Seminars - - 4 - - 2 - Project Work - - 18 - - Total - - 22 - - II Year II Semester S.NO. SUBJECT SUBJECT L T/P/D C MAX MARKS CODE INT EXT 1 - Project Work - - 22 - - 2 - Project Viva-voce - - - - - Total - - 22 - - AERONAUTICAL DEPARTMENT Page 4 MTECH AEROSPACE QUESTION BANK MALLAREDDY COLLEGE OF ENGINEERING & TECHNOLOGY L T/P/D C I Year M. Tech, ASP-I SEM (R15D7601) MATHEMATICAL MODELING 4 - 3 UNIT-I: INTRODUCTION TO MODELING AND SINGULAR PERTURBATION METHODS Definition of a model, Procedure of modeling: problem identification, model formulation, reduction, analysis, Computation, model validation, Choosing the model, Singular Perturbations: Elementary boundary layer theory, Matched asymptotic expansions, Inner layers, nonlinear oscillations UNIT-II: VARIATIONAL PRINCIPLES AND RANDOM SYSTEMS Variational calculus: Euler’s equation, Integrals and missing variables, Constraints and Lagrange multipliers, Variational problems: Optics-Fermat’s principle, Analytical mechanics: Hamilton’s principle, Symmetry: Noether’s theorem, Rigid body motion, Random systems: Random variables, Stochastic processes, Monte Carlo method UNIT-III: FINITE DIFFERENCES: ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS ODE: Numerical approximations, Runge-Kutta methods, Beyond Runge-Kutta, PDE: Hyperbolic equations-waves, Parabolic equations-diffusion, Elliptic equations-boundary values CELLULAR AUTOMATA AND LATTICE GASES Lattice gases and fluids, Cellular automata and computing UNIT- IV: FUNCTION FITTING AND TRANSFORMS Function fitting: Model estimation, Least squares, Linear least squares: Singular value decomposition, Non-linear least squares: Levenberg-Marquardt method, Estimation, Fisher information, and Cramer-Rao inequality, Transforms:Orthogonal transforms, Fourier transforms, Wavelets, Principal components FUNCTION FITTING ARCHITECTURES Polynomials: Pade approximants, Splines, Orthogonal functions, Radial basis functions, Over-fitting, Neural networks: Back propagation, Regularization UNIT-V: OPTIMIZATION AND SEARCH Multidimensional search, Local minima, Simulated annealing, Genetic algorithms FILTERING AND STATE ESTIMATION Matched filters, Wiener filters, Kalman filters, Non-linearity and entrainment, Hidden Markov models TEXT BOOK 1. The Nature of Mathematical Modeling, Neil Gershenfeld, Cambridge University Press, 2006, ISBN 0-521-57095-6 REFERENCE BOOKS 1. Mathematical Models in the Applied Sciences, A. C. Fowler, Cambridge University Press, 1997, ISBN 0-521-46140-5 2. A First Course in Mathematical Modeling, F. R. Giordano, M.D. Weir and W.P. Fox, 2003, Thomson, Brooks/Cole Publishers 3. Applied Numerical Modeling for Engineers, Donald De Cogan, Anne De Cogan, Oxford University Press, 1997 AERONAUTICAL DEPARTMENT Page 5 MTECH AEROSPACE QUESTION BANK COURSE COVERAGE SUMMARY FOR MATHEMATICAL MODELING TEXT BOOK CHAPTERS IN UNITS/TOPICS AUTHOR PUBLISHERS EDITION & TITLE TEXT BOOK COVERED YEAR The Nature Of 2-9 1-5 Neil Cambridge 2006 Mathematical Gershenfeld University Press Modeling AERONAUTICAL DEPARTMENT Page 6 MTECH AEROSPACE QUESTION BANK Code No: R15D7601-151 MALLAREDDY COLLEGE OF ENGINEERING & TECHNOLOGY R15 (Autonomous Institution – UGC, Govt. of India) M.Tech. I Year - I Semester, February 2016 Sub: MATHEMATICAL MODELING (Aerospace Engineering) Time: 3 hours Max. Marks: 75 Note: Question paper Consists of 5 SECTIONS (One SECTION for each UNIT) and answer FIVE Questions, Choosing ONE Question from each SECTION. Each Question carries 15marks. * * * * * * SECTION – I 1. a) Explain the Elementary boundary layer theory for singular Perturbations b) Explain the Steps Involved in the Procedure of mathematical modeling (Or) 2. a) Write a short note on b) Inner layers of Perturbations c) Singular perturbations d)Truncation Error b) Discuss briefly about Matched asymptotic expansions for singular Perturbations SECTION – II 3. Derive the equations of Optics-Fermat’s principle and Hamilton’s principle for variational problems. (Or) 4. a) Discuss briefly about Rigid body motion and random variables b) Explain Monte Carlo method for a random system c) Explain Stochastic processes for a random system SECTION – III 5, a)Descritise the following one-dimensional diffusion equation using finite difference approximation and conduct the stability analysis. ∂u / ∂t = D (∂2u / ∂ x2) b) Describe the fourth-order Runge-Kutta method for a system of first order ordinary differential equations 6. a) Describe cellular automata model for a gas. b) Discuss through diagrams how FHP lattice gas operates in two dimensions with the help of triangular lattice. SECTION – IV 7. a) How do you distinguish between parametric and non parametric function fitting? b) Describe the procedure of linear least squares fitting from observation data AERONAUTICAL DEPARTMENT Page 7 MTECH AEROSPACE QUESTION BANK c) Explain the principle of Singular Value Decomposition (SVD). (Or) 8. a) Explain the concept of Radial basis functions of polynomials b) Give the brief description about Neural Networks with the help of a diagram the procedure involved in building a mathematical model. SECTION – V 9. Explain briefly about a)Matched Filters b) Kalman Filters c) Weiner Filters (Or) 10. How are Genetic algorithms different from simulated annealing? Explain the steps involved in applying genetic algorithm in optimization and search problems. AERONAUTICAL DEPARTMENT Page 8 MTECH AEROSPACE QUESTION BANK R15 Code No: R15D7601-151-S MALLAREDDY COLLEGE OF ENGINEERING & TECHNOLOGY (Autonomous Institution – UGC, Govt. of India) M.Tech. I Year - I Semester supplementary Examinations, Aug 2016 Mathematical Modeling (ASP) Time: 3 hours Max. Marks: 75 Note: This question paper Consists of 5 Sections. Answer FIVE Questions, Choosing ONE Question from each SECTION and each Question carries 15 marks. * * * * * * SECTION – I 1 a) what are the different types of mathematical models? b) Explain the Steps Involved in the Procedure of mathematical modeling (Or) 2. a) Write a short note on i) Approximation error ii) Round-off error iii) Truncation Error b) Differentiate the differences between Singular Perturbations and regular Perturbations SECTION – II 3. Explain the differences between Newtonian Mechanics and Analytical Mechanics. Derive Euler-Lagrange Equations for a conservative system using Himiltons principle and
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