MAKİNE MÜHENDİSLİĞİ YÜKSEK LİSANS PROGRAMI
Programın Amacı
Makina Mühendisliği Yüksek Lisans Programlarının amacı makine mühendisliği alanındaki teorik prensipleri karmaşık problemlere uygulayacak ileri seviyede eğitilmiş mühendisleri yetiştirerek ülkemizin kalkınmasına hizmet etmektir. Bu amaca uygun olarak yetiştirilecek mühendislerin uluslararası standartlara göre eğitilerek, problemlere lisansüstü seviyede çözüm bulacak şekilde bilimsel araştırmaya veya endüstriyel problemlere çözüm bulacak şekilde uygulamalı araştırmaya yönlendirilmeleri anabilim dalımızın hedefidir.
Makina Mühendisliği Yüksek Lisans Programı "Tezli Program" ve "Tezsiz Program (2.Öğretim)" şeklinde eğitim vermektedir.
Programın Dili : İngilizce Bilimsel Hazırlık Programı Gerektiren Bilim Alan ve Dalları
Makine Mühendisliğinden farklı bilim dallarından mezun olmuş öğrenciler, fark derslerini Bilimsel Hazırlık Programı’ndan alırlar. Bilimsel Hazırlık Programı’ndan 3 den fazla ders alma gereksinimi olanlar Bilimsel Hazırlık Programı’na katılmak zorundadır. Bilimsel Hazırlık Programı’nda 2 yarıyılda toplam 30 kredi saatinden fazlasını gerektiren dallardan mezun olmuş öğrenciler lisansüstü programına alınmazlar.
DERS İÇERİKLERİ
NUMERICAL METHODS FOR ENGINEERS
Concepts of consistency, stability and convergence of numerical schemes. Initial and boundary value problems for ordinary differential equations. Various finite difference and finite element methods and their applications to fundamental partial differential equations in engineering and applied sciences. Case studies selected from computational fluid mechanics, heat transfer, solid mechanics and structural analysis.
ADVANCED MATHEMATICS FOR ENGINEERS
Series solution of differential equations: Special functions. Gamma, Bessel, Legendre functions. Boundary value problems. Expansion in series of orthogonal functions, including Fourier series. Fourier integral. Vector analysis. Calculus of variations.
ADVANCED FLUID MECHANICS
Survey of principal concepts and methods of fluid dynamics. Mass conservation, momentum and energy equations for continua. Surface tension. Navier-Stokes equations for viscous flows. Similarity and dimensional analysis. Lubrication theory. Boundary layers and separation. Circulation and vorticity theorems. Potential flow. Lift and drag. Introduction to turbulence.
ADVANCED DYNAMICS
Momentum principles and energy principles. Lagrange's equations. Hamilton's principle. Applications to mechanical systems including gyroscopic effects. Study of steady motions and nature of small deviations therefrom. Natural modes and natural frequencies for continuous and lumped parameter systems. Forced vibrations. Dynamic stability theory. Causes of instability.
ADVANCED SYSTEM DYNAMICS AND CONTROL
Analytical and graphical descriptions of state determined dynamic physical systems, time and frequency domain representations, system characteristics. Controllability, observability, stability, linear and nonlinear system responses. Modification of system characteristics using feedback. State observers, Kalman filters. Modeling/performance trade-offs in control system design. Emphasis on application of techniques to physical systems.
ADVANCED THERMODYNAMICS
General foundations of thermodynamics valid for small and large systems, and equilibrium and nonequilibrium states. Definitions of work, energy, stable equilibrium, available energy, entropy, thermodynamic potential, and interactions other than work (nonwork, heat, mass transfer). Applications to properties of materials, bulk flow, energy conversion, chemical equilibrium, and industrial manufacturing.
MECHANICS OF COMPOSITE MATERIALS
Introduction to composite materials, macro mechanical behavior of laminate, micro mechanical behavior of laminae, micro mechanical behavior of laminate, bending buckling and vibration properties of laminates, other properties, design process in composite materials.
DESIGN OPTIMIZATION
Principles of mathematical programming. Unconstrained and constrained nonlinear programming methods. Numerical methods for NLP. Introduction to combinatorial optimization. Branch and bound. Simulated annealing. Genetic algorithms: fundamentals, schema theorem, algorithms. Applications to real life optimum design problems.
COMPUTER-AIDED DESIGN
CAD/CAM system hardware and software. Computer graphics basics and theory in 2-D and 3‑D. Database fundamental. Numerical analysis as applied to CAD. Introduction to optimization theory and applications of multidimensional optimization algorithms to nonlinear engineering problems with constraints. Discussions on engineering problems solved using the CAD approach.
INTRODUCTION CONTINUUM MECHANICS
Introduction to continuum mechanics. Principles of continuum mechanics. Tensors, kinematics of continuum, stress, linear elastic body, some basic problems for various materials as relevant in materials science.
ARTIFICIAL INTELLIGENT TECHNIQUES IN ENGINEERING APPLICATIONS
Scope and elements of artificial intelligence. Knowledge representation, search structures and search techniques. Expert systems: knowledge base, inference engines. Expert system applications and case studies. Handling uncertain knowledge and fuzzy logic. Engineering applications of fuzzy logic. Associative memory and neural networks. Neural network techniques and back propagation. Neural fuzzy systems. Application on neural networks and neural fuzz systems. quasi-random search techniques and genetic algorithms. Genetic algorithm aid to fuzzy systems. Case studies.
ADVANCED MATERIALS SCIENCE
Advanced studies of deformation and failure in materials. macroscopic and microscopic aspects of deformation. Elasticity and plasticity theories. Micromechanisms responsible for strengthening and deformation in structural materials. Physical properties of ceramics and polymers.
ADVANCED PROBABILITY
Advanced studies of deformation and failure in materials. Macroscopic and microscopic aspects of deformation. Elasticity and plasticity theories. Micromechanisms responsible for strengthening and deformation in structural materials. Physical properties of ceramics and polymers.
SOLAR ENERGY UTILIZATION
Review of fundamentals of solar energy utilization, solar collectors, concentrating collectors and their applications, passive systems, building heat transfer, solar power production. Design considerations of various concentrating collectors for thermal and photovoltaic applications. Solar thermal energy storage. Economic considerations. Design projects in selected areas.
INTERNAL COMBUSTION ENGINE MODELING
Mathematical models of diesel engines, single-zone models, multizone models, atomization & breakup regimes, mathematical models of SI engines, single & multizone models, one-dimensional models, multi-dimensional models, modeling emissions & knock, modeling ignition, mathematical models of gas exchange process & two- stroke cycle engines.
ADVANCED HEATING, VENTILATION AND AIR CONDITIONING
Review of psychrometrics, heat loss and gain calculations, computer modelling of building heat transfer, pipe flow losses, flow in ducts, pressure drop calculations, new codes and regulations, VAV control, air distribution control, introduction to air handling unit design.
IDEAL FLUID FLOW
Vorticity theorems of Helmholtz and Kelvin. Potential flow, the complex potential, flow around bodies. Conformal mapping and free streamline theory. Rotational flow, stability, Kelvin-Helmholtz and Rayleigh-Taylor instabilities. Motion of point vortices and vortex regions. Chaotic vortex motions. Vortex filaments and vortex sheets.
FLUID POWER CONTROL
Theory and design of hydraulic and pneumatic control systems and components, and their applications. Pressure-flow relationships for hydraulic and pneumatic valves. Valve configurations, valve operating forces. Closed loop systems. Control and measurement of pressure, flow speed, position, force and other quantities. Application of basic principles to component and system design.
SPECIAL TOPICS IN DESIGN AND MANUFACTURING
Graduate level topics in the areas of design and manufacturing that are not covered in the existing curriculum. Arranged depending on available faculty and student interest.
SPECIAL TOPICS IN THERMO-FLUID SYSTEMS
Graduate level topics in the areas of thermo-fluid systems that are not covered in the existing curriculum. Arranged depending on available faculty and student interest.
Prerequisite: Permission of instructor
SPECIAL TOPICS IN MECHANICS AND CONTROL
Graduate level topics in the areas of engineering mechanics and control that are not covered in the existing curriculum. Arranged depending on available faculty and student interest.
Prerequisite: Permission of instructor
ADVANCED STRENGTH OF MATERIALS
Fundamentals of the mechanical behavior of materials. An application oriented approach is used to deal with performance controlling phenomena in design for total service life, as well as material behavior during material processing based on stiffness, deformation and fracture resistance under steady and cyclic loads. Main topics include: elasticity, rubber elasticity, creep, plasticity, viscoelasticity, fracture, fatigue and wear.
MATHEMATICAL METHODS FOR ENGINEERS
Complex calculus, Cauchy-Riemann equations, power series, Cauchy integral formula, residue theorem, improper integrals. Solutions of classical partial differential equations including application of conformal mapping, Fourier and Laplace Transformation. Introduction to tensor calculus.
ADVANCED HEAT AND MASS TRANSFER
General heat conduction equation, one dimensional steady state conduction, heat transfer from extended surfaces, two dimensional steady state conduction, transient conduction, convection boundary layers, momentum and energy equations, exact solutions, approximate methods, flow in tubes, external flow, free convection, fundamental concepts of radiation, exchange between surfaces, diffusion mass transfer.
PRINCIPLES OF DESIGN
Introduction to design and design processes; introduction to design axioms, corollaries and theorem; mathematical representation of design; formulation of design matrix; analysis of functional independence; graphical representation of functional independence; measure of information content; application to process planning; case studies involving real industrial problems. Introduction to Taguchi Methods and their applications.
KINEMATIC AND DYNAMIC ANALYSIS OF MECHANISMS
Use of vectors in kinematic analysis. Matrix representation in mechanism analysis. Position, velocity and acceleration analysis of elemanter groups. Computer-aided design of planar mechanisms using elemanter groups. Dynamics of mechanisms. Force and moment balancing of linkages. Mass and stiffness matrices.
APPLIED ELASTICITY
Plane stress, plane strain, biharmonic solutions. Problem formulation in Cartesian and polar coordinates, Fourier series and complex variable solutions. Energy theorems and variational techniques. Three-dimensional elasticity. Saint-Venant torsion and bending theory. Navier equation and Galerkin vector. Structural mechanical approximations for beams, plates and shells. Introduction to wave propagation
FINITE ELEMENTS METHOD
Introduction finite element method, spring elements, Bar elements and truss systems, 2 dimensional problems, Axysymmetric elements, 3 dimension elements, finite element method in heat transfer, Dynamic systems
COMPUTATIONAL METHODS IN DYNAMICS
Formulation of finite element methods for analysis of dynamic problems in solids, structures, fluid mechanics and heat transfer. Computer calculation of matrices and numerical solution of equilibrium equations by direct integration and mode superposition. Effective eigensolution techniques for calculation of frequencies and mode shapes. Digital computer coding techniques and use of an existing general purpose finite element analysis program. Modeling of problems and interpretation of numerical results.
PRINCIPLES OF ROBOTICS
Survey of robotics and robotic manipulators. Hartenberg-Denavit convention. Rotation matrices. Homogeneous transformations. Direct kinematics. Inverse kinematics. Jacobian matrix. Velocity and acceleration analysis. Dynamic force analysis via Newton-Euler formulation. Motion equations via Lagrangian formulation. Trajectory planning. Independent joint control. Control with computed torque method. Compliant motion control. Hybrid control with position and force feedbacks.
ANALYSIS AND DESIGN OF DISCRETE TIME SYSTEMS
The use of discrete time methods in the analysis and monitoring of physical processes. Data sampling and reconstruction methods. The design and analysis of mixed continuous and discrete time systems, the design and implementation of digital filters, and on-line system identification methods. The discrete Fourier Transform and applications. Statistical signal analysis methods, including spectral analysis and correlation methods.
INDUSTRIAL PROCESS CONTROL
Review of process modeling principles. Mass balance, energy balance, models of representative processes. Dynamic response and linearization. Process identification using time and frequency domain techniques. Time delay, Smith predictor. Basic and advanced control strategies, PID, feedforward, feedback, internal model and supervisory control. Time domain controller design. Controller tunning. Controller design in frequency domain. Introduction to digital control. Case studies. Term project.
NON-TRADITIONAL PRODUCTION PROCESSES
Classification of non-traditional production (machining and forming) processes. Ultrasonic machining (USM), abrasive jet machining (AJM), chemical machining, electro-chemical machining (ECM), electric discharge machining (EDM), laser beam machining (LBM), electron beam machining (EBM), plasma arc machining (PAM). Explosive forming, electro-magnetic forming. Other non-traditional production processes.
COMPUTATIONAL FLUID DYNAMICS I
Statement of conservation laws for transport phenomena involving fluid flows. Transport equations for mass, momentum, energy. Classification of partial differential equations. Hyperbolic (supersonic/wave phenomena), parabolic (boundary layer type), and elliptic (conduction/potential flows) problems. Steady and unsteady flows. Finite difference form of equations. Control volume method. Discretization. Equation discretization. Explicit and implicit methods for transient flows. Solution algorithms. Systems of algebraic discretization equations. Accuracy, stability and convergence. Boundary conditions. Structure of a CFD code, programming aspects, boundary conditions. Industrial case studies.
COMBUSTION
Review of chemical thermodynamics and reaction kinetics, fuel characteristics and explosion limits, conservation equation, Schvab-Zeldovic formulation, diffusion flame, premixed flames ignition and pollution.
DESIGN OF THERMO-FLUID SYSTEMS
System design concepts, models and simulation. Application of linear and nonlinear optimization methods. Economic considerations. Application to various thermo-fluid systems. Use of general purpose and package programs. Design term projects.
INTRODUCTION TO RENEWABLE ENERGY SYSTEMS AND TECHNOLOGIES
Energy and the environment, review of thermal pollution aspects, introduction to solar, wind and other renewable technologies, active solar systems, wind turbine design considerations, geothermal energy and related technologies, special topics in renewable energy sources.
SECOND LAW ANALYSIS AND THERMOECONOMICS OF ENERGY SYSTEMS
Presentation of the exergy concept and exergy losses, applications in energy systems encountered in thermal energy and/or power generation and manufacturing industries, application of principles of thermoeconomics towards exergy based costing and exergy aided cost minimization.
TURBULENT FLOW
Fundamentals of turbulent flows, the basic equations and the characteristic scales, statistical description of turbulence. Stability and transition. Description of turbulence phenomena. Derivation of Reynolds equation and Reynolds stress tensor, various averaging methods. turbulence energy spectrum, correlations. Homogeneous turbulence. Zero, one and two equation models and Reynolds stress models. Shear turbulence, rotating turbulence.
EXPERIMENTAL METHODS IN FLUIDS
Force and pressure measurements, data acqusition, temperature measurements, pressure differential devices, flowmeters, turbulence quantities and data reduction techniques, hot wire anemometry, requirements for measurements in 2-phase flows and combustion, laser doppler velocimetry, particle sizing and aerosols, wind tunnel design and components, flow visualisation techniques, IC engine instrumentation and exhaust gas analysis.