HAVACILIK VE UZAY TEKNOLOJİLERİ ENSTİTÜSÜ

HAVACILIK MÜHENDİSLİĞİ ANA BİLİM DALI

Contents of Graduate Courses:

 

HM 500 Master of Science Theses: Program of research leading to M.Sc. degree arranged between the student and a faculty member.

Students register to this course starting from the beginning of their third semester for researching and writing the thesis project.  

HM 501 Engineering Mathematics: Linear Space and Operators. Matrix algebra. Tensor Fields. Complex Analysis. Calculations of Variations. Differential Equations;

Power Series and Solution of Special Functions. Solutions of Boundary-Value Problems. Transformation Methods. Green Function. Partial Differential Equations.

 HM 502 Advanced Engineering Mathematics: Differential Equations, Power Series, Legendre Functions, Gamma Functions, Integration, Bessel Functions,

 Laplace Transformations, Quantative Methods and Numerical Solutions of Differential Equations, Boundary Value Problems  Complex Numbers, and Complex Plane. 

HM 503 Optimization Techniques in Engineering: Basic Ideas. Functions with One Variable. Free Functions with ‘N’ Variables.  Forced Functions with ‘N’ Variables.

 Approach Techniques. Duality. Structural Optimization. General Design Applications.

 HM 504 Advanced Applied Numerical Methods: Matrix Solutions; Gauss Elimination, Jacobi, Gauss-Seidel, SOR , Kylov and Multigrid Methods. Interpolation Method.

 Numerical Integral Method. Numerical Differential Method; Finite Differences, Finite Element, Finite Volume Methods; Validity, Methods of Spectrum and Analysis of Wave Numbers.

Methods for Ordinary Differential Equations; Validity and Stability. Error Analysis. Partial Differential Equations. 

HM 511 Viscous Flow: Basic Laws for Continuum.  Vortices Equation. Viscous Flow of Incompressible Fluids. Exact Solutions. Boundary Layer. Stability of Laminar Boundary Layer.

 Transition to Turbulent Flow. Boundary Layer of Compressible Fluids. 

HM 512 Advanced Gas Dynamics: Unsteady 1-Dimensional Flow. Explosion Waves. Steady 2-Dimensional Flows. Similarity Rules at Subsonic Flows. Processes of Supersonic Flows . Method of Characteristics.

Oblique and Normal Shock Waves. 

HM513 Boundary Layer Theory: Basic Laws and Navier-Stokes Equations. Exact Solutions of Navier-Stokes Equations. Dynamics of Vortices. Low Reynolds Number Flows. Similarity Solutions of Normal and Thin Boundary Layers.

Techniques of Integral Solutions. Jet Wake Regions and Mixed Layers. Hydrodynamics Stability and Turbulence. 

HM 514 Potential Flow: Solving the Linear and Non-linear States of Potential Flow Equations.  Solutions of Oscillating, Random and Stable Flows Around the Profiles and Wings. Theodorsen, Wagner, Küssner and Cicala Functions.

 Obtaining and Solutions of the Aerodynamics Coefficients Matrices. 

HM 515 Internal Fluid Mechanics: General Characteristics of the Internal Flows Around the Compressors and Turbines. Unsteady Cyclic Flows. Theory of Rotors. Viscosity and Effects of Compressibility. Loses and Inefficiency.

Secondary Flows. Instability of Turbo-Machine Flows. 

HM 518 Turbulent Boundary Layers: Laminar and Turbulent Boundary Layer Equations. Falkner-Skan Transformations. Turbulence Models. Finite Difference and Interactive Methods for Boundary Layers. Numerical Solutions. 

HM 519 Computational Fluid Dynamics: Continuum Laws, Euler and Navier-Stokes Equations. Finite Difference Solutions of Parabolic, Elliptic and Hyperbolic Equations and Analysis of their Stability. Techniques of Obtaining Solutions Net.

Analysis of Euler and Navier-Stokes Equations of 2-D and 3-D Compressible Viscous/Inviscid Flows. Finite Volume Method. “Flux-Vector Splitting” Method.

HM 520 Advanced Heat Transfer: Advanced Analysis of Conduction, Convection and Radiation Heat Transfers.

 HM 521 Compressible Flow: In order to give the required information to the students about compressive aerodynamics , basic notions can be met in practical applications. 

HM 522 Advanced Aircraft Engine Design: Characteristics and Performance of Aircraft Engines. 2-D and 3-D Flows. Theories of Compressors and Turbines. Design and Performance Calculation of Aircraft Engines. 

HM 523 Uncompressible Flow: In order to give the required information to the students to perform computer applications letting numerical calculations of flow around 3-D objects without creating solution grids. 

HM 530 Advanced Aircraft Design: Introduction. Methods of Aircraft Designs. Roskam Method of Aircraft Design. Specification of Aircraft Missions. Calculation of Aircraft Weights (Total Weight, Payload Weight, Fuel Weight etc.). Pre-sizing. 

HM 531 Fundamentals of Solid Mechanics: Analysis of Deformations and Stresses. Introduction to Elasticity, Generalized Hook Law and Boundary Conditions. Principle of Minimum Potential Energy, Stresses; Torque, Bending and Shearing on Beams.

Torque Analysis of Non-circular Beams. 

HM 532 Structural Dynamics: Introduction.  Lagrange Equations. Continuous Systems. Euler Equations for Beams. Finite Element Method.  Vibrations.  Superposition of Modes.  Method of Direct Integration. 

HM 533 Theory of Vibration: Free and Forced Vibrations. Characteristic Frequencies and Modes. Generalized Coordinates and Normal Modes. Free and Forced Vibrations of Simple and Continuous Systems. Axial and Torque Oscillation of Sticks.

 HM 534 Stability of Structures: Basic Elastic Stability Theory. Balance of Deformed Systems. Equilibrium of Stable and Unstable Conditions. Branching Points, Limit Points and Critical Loads. Energy Method. Rayleigh-Ritz Method. Stability of Straight Columns.

Torque Analysis of Twisted Beams. Stability of Plates. Stability of Shells. Non-Linear Problems. Stability of Real Beams, Plates and Shells.

 HM 535 Aeroelasticity: Introduction. Nature of Problems and Experiments. Errors Caused by the Flutter Effect. Flight-Flutter Tests.  Linear Theoretical Aeroelasticity Models.  Non-linear Theoretical Aero-elasticity Models.  Theories of Aerodynamics.

Structural Behaviors of Turbulent Boundary under Variable Pressures. Comparison of Theoretical and Experimental Solutions.  

HM 537 Mechanics of Composite Materials: Plastic Deformation of Materials, Stress Equations, Motion Equations. Stress and Plastic Deformation Equations of Layers. Strength of Fibred Layers. Hygro-Thermal Behavioral Analysis of Layers.

Theories of Layered Beams. Classical Plate Theory and Analysis of Torque, Bending and Vibration Effects on Beams. Introduction to Linear and Elastic Refractions. 

HM 540 Finite Element Methods: Introduction. Basic principles of Finite Element Method. Principle of Minimum Potential Energy. Coordinate Transformations. Unification and Application of Boundary Conditions. Analysis of joints and Frames. Space Joint Element.  Space Frame Element.

 Plane Frame Element. Rod Element.  Analysis of Plates.  Membrane Element.  Bending Behavior of Plates. Shell Elements.  Using Softwares.  Application of Finite Element Method on Some Aircraft Structures. Vibration  Problems.

 HM 541 Mechanical Properties of Materials: Mechanical Behaviors of Composites, Ceramics, Polymers and Metals being used in the Field of Aeronautics. Simple and Joint Tensed Systems, Elastic and Plastic Behaviors, Mechanical Strengthen, Fatigue and Mechanical Tests.

 HM 551 Advanced Flight Mechanics: Flight Mechanics and Advance Topics at Control. Optimum Control, Separate Data Control Systems. Aeroelasticity Effects. Pilot Models and Non-linear Effects. 

HM 552 Flight Control Systems I: Introduction to Motion Equations of an Aircraft.  Stability and Dynamics of Aircraft. Dynamic Effects of Structural  Elasticity. Discomfiture Effecting Aircraft Motion.  Flight and Control.  Methods of Designing Control Systems.

 

HM 553 Flight Control Systems II: Stability of Complex Structures. Altitude Control Systems. Navigation Control Systems.  Active Control Systems.  Helicopter Flight Control Systems.  Digital Control Systems.  Adaptable Flight Control Systems.

  

HM 555 Advanced Flight Dynamics: Reference Coordinates and Transformations. General Equations of Non-perpetual Motion and Applications on Aircraft, Helicopter and Space Vehicles. Stability Effects. Flight at Turbulent Atmosphere. 

HM 560 Avionics and Navigation Systems: Navigation Element Related to the Position and Motion of an Aircraft. Ground Radio-Navigation Systems, Satellite Radio-Navigation Systems, Global Positioning System (GPS), Differential Global Positioning System (DGPS),

Inertia Navigation System (INS), Gimballed Inertia Navigation System, Analytic (Strapdown) Inertia Navigation System, Air Data System, Doppler and Altitude Radars, Landing Systems, Joint Navigation Systems, GPS Supported Inertia Navigation System.

 HM 561 Linear Control Systems: Introduction to the Theory of Modern Control Systems. Equations of Position Variables and Position Space. Vectors. Canonical Forms and Independent Systems. Time Response of Position Space Systems. Transformation Methods. Control and Observation.

Lyapunov Stability Analysis. Design of Control Element for Position Space.  Quadratic Optimal Control Systems. 

HM 563 Genetic Algorithms: The purpose of this course is to teach Genetic Algorithms and the basics of Evolutionary Algorithms methods and demonstrate the application of these algorithms to the Aeronautical Engineering problems and create projects for different problems.  

HM 570 Aircraft Materials and Inspection: In this course, production and the evaluation of metallic, ceramic, composite, and polymer materials that increase the aircraft performance and have strength against mechanical ,physical and chemical effects is taught.

The direction of aircraft materials developments is addressed. In addition experimental forces analysis and inspection without fault is taught. Thus it is aimed to have graduate students in Aeronautical engineering who has advanced knowledge on aircraft materials and inspection.

 HM 590 Graduate Seminar: Presentation involving current research given by graduate students and invited speakers in the aim of increasing the interests of the other students about different subjects of aeronautics. This course is obligatory for the graduate students.  

HM 591 M.Sc. Specialization Field Course: Investigation on study fields and developments on these study fields of all students, under the supervision of an advisor, who are progressing their M.Sc. thesis.

 HM 600 Ph.D. Thesis: Program of research leading to Ph.D. degree arranged between the student and a faculty member. Students register to this course in all semesters starting from the beginning of their fifth semester while the research program or write-up of thesis is in progress. 

HM 622 Hypersonic Aerodynamics: Specialties of Hypersonic Flows and Inviscid Hypersonic Flow Theory. Similarities, Small Perturbation and  Surface Inclination Methods. Burst Waves Method, Low Density Aerodynamics, High Temperature Aerodynamics. 

HM 623 Turbulence: Mass Averaged and Reynolds Time Averaged Navier-Stokes Equations, Related Problems, Turbulent Energy and Vortex Equilibrium. Internal and External Turbulent Flow. Statistical Turbulence Model. Transition from Laminar to Turbulent Flow.

 HM 624 Combustion: Chemical Thermodynamics. Chemical Kinetics. Conservation Equations of Multi-Input Reactions. Detonation of Pre-Mixed gases. Laminar Flames of Pre-Mixed Inputs. Gas Diffusion Flames and Combustion of Liquid Droplets. Turbulent Flames.

Combustion of Two Phase Systems. Chemically Reacted Boundary Layer Flow. 

HM 636 Theory of Plates and Shells: Bending of Rectangular Plates. Simply Bended of Plates. Circular Plates. Simply Supported Rectangular Plates. Navier Solution. Different Boundary Conditions of Rectangular Plates. Approximate Solution Method of Plate Theory. General Theory of Cylindrical Shells. 

HM 638 Random Vibrations of Structures: Probability Distribution, Averages, Group Averages. Correlations, Fourier Analysis. Spectrum Density Narrow and Wide Band Processes. Response of Linear Systems. Transfer of Random Vibrations. Statistics of Narrow Band Processes.

Multi-Dimensional Spectrum Analysis. Response of Steady Linear Systems under Random Perturbations. 

HM 641 Materials Selection and Processing: Methods of Selection Processes for Materials being used at Aeronautical Industry. Methods of Determination of Risk and Cost Evaluations. 

HM 645 MEMS (Micro-Electro-Mechanical Systems): This course is an introduction to MEMS intended for graduate and senior students. Silicon-based integrated MEMS promise reliable performance, miniaturization and low-cost production of sensors and

actuator systems with broad applications in data storage, biomedical systems, inertial navigation, micromanipulation, optical display and microfluid jet systems. The course covers such subjects as materials properties, fabrication techniques, basic structure mechanics, sensing and actuation principles,

circuit and system issues, packaging, calibration and testing. 

HM 690 Ph.D. Seminar: To increase the interest of the students for studying in different fields of Aeronautical engineering science. Ph.D. students have to take this course and to fulfill their requirements.

 HM 691 Ph.D. Specialization Field Course: Investigation on study fields and developments on these study fields of all students, under the supervision of an advisor, who are progressing their Ph.D. thesis.

 

 

 

|BİLGİSAYAR MÜH.A.B.D.|ELEKTRONİK MÜH. A.B.D.|ENDÜSTRİ MÜH.A.B.D.|

|HAVACILIK MÜH.A.B.D.|UZAY BİLİMLERİ A.B.D.|


|GENEL BİLGİLER|PERSONEL|SEMİNERLER|BAŞVURU KOŞULLARI|HUTEN'DE YAŞAM|