Program tanımları
DOCTOR OF PHILOSOPHY PROGRAM
The Ph.D. program in Mechanical Engineering includes a minimum of 25 credits of course work and dissertation carried out according to regulations of the Institute. The required courses for the program are:
ME 501 and ME 502 Advanced Engineering Mathematics I and II
Students who have previously taken one of these courses, or its equivalent, are required to take the second course. Those who have taken either one or both of these courses, or their equivalents may instead take elective courses approved by their advisor and the Institute.
Ph.D. students are required to identify a Major field which corresponds to one of the five Mechanical Engineering options listed above. Three courses for the Major field are chosen from among courses not taken in the M.S. program. Subject to the approval of the advisor, a Minor field consisting of a sequence of two courses is also determined. Students complete their course requirements with an elective course complementing their Ph.D. program.
OPTIONS IN MECHANICAL ENGINEERING
A. Dynamics and Control:
ME 530 Advanced Dynamics
ME 537 State Space and Control Theory
ME 622 Advanced Vibrations
ME 634 Robotics
ME 636 System Modeling and Identification
B. Fluid Mechanics:
ME 551 Advanced Fluid Mechanics
ME 503 Mechanics of Continua I
ME 602 Mechanics of Continua II
ME 610 Finite Elements
ME 632 Approximate Solution Techniques
ME 652 Viscous Flow Theory
ME 653 Turbulent Flow Theory
ME 654 Gas Dynamics
ME 656 Computational Fluid Dynamics
ME 662 Convective Heat Transfer
C. Materials and Manufacturing:
ME 511 Principles of Material Science and Eng.
ME 512 Principles of Manufacturing Processes
ME 610 Finite Elements
ME 613 Deformation of Engineering of Materials
ME 614 Materials Processing
ME 618 Mechanical Behavior of Materials
ME 620 Fracture
D. Solids and Design:
ME 521 Engineering Design
ME 523 Elasticity
ME 530 Advanced Dynamics
ME 503 Mechanics of Continua I
ME 602 Mechanics of Continua II
ME 610 Finite Elements
ME 618 Mechanical Behavior of Materials
ME 620 Fracture
ME 622 Advanced Vibrations
ME 632 Approximate Solution Techniques
ME 641 Wave Propagation
E. Thermal Sciences:
ME 561 Conduction Heat Transfer
ME 503 Mechanics of Continua I
ME 602 Mechanics of Continua II
ME 610 Finite Elements
ME 632 Approximate Solution Techniques
ME 660 Advanced Thermodynamics
ME 662 Convective Heat Transfer
ME 663 Radiation Heat Transfer
ME 664 Two-Phase Heat Transfer
In addition to the option courses listed above,
ME 581-589 Special Topics; 591-596 Special Studies
ME 681-689 Special Topics; 691-696 Special Studies
ME 597,598-697,698 Mechanical Engineering Seminars I, II
may be considered as being a part of one of the options, depending on the course content given in the particular semester. Thesis work is carried out using
ME 790 Ph.D. Thesis
COURSE DESCRIPTIONS
ME 501 Advanced Engineering Mathematics I (3+0+0) 3
(Ileri Muhendislik Matematigi I)
Systems of linear equations; linear vector spaces; theory of matrices and the eigenvalue problem; multivariable differential calculus; ordinary differential equations; vectors in R3; vector field theory, Fourier series and Fourier transform; Laplace transform; calculus of variations.
ME 502 Advanced Engineering Mathematics II (3+0+0) 3
(Ileri Muhendislik Matematigi II)
Partial differential equations; Laplace, diffusion, and wave equations; Bessel and Legendre functions; integral equations; functions of a complex variable; conformal mapping; complex integral calculus; series expansion and residue theorem.
ME 511 Principles of Materials Science and Engineering (3+0+0) 3
(Malzeme Bilimi ve Muhendisligi Prensipleri)
Atomic bonding and crystal structure, imperfections in crystals, x-ray and electron diffraction, thermodynamics of crystals, kinetics, transport in materials, phase transformations, annealing processes, deformation and fracture of materials, examples of technological materials.
ME 512 Principles of Manufacturing Processes (3+0+0) 3
(Imalat Surecleri Esaslari)
Fundamentals of production and processing of metallic, ceramic and polymeric materials. Manufacturing processes based on heating/cooling. Casting techniques. Near net shape processes. Principles of metal forming. Thermomechanical treatment. Surface modification.
ME 521 Engineering Design (Muhendislik Tasarimi) (3+0+0) 3
Nature and properties of materials; advanced topics of strength of materials; analysis of composite, honeycomb and reinforced materials; pressure vessel design; residual stresses, thermal stresses; failure theories, beyond the elastic range; buckling; shock; impact and inertia.
ME 523 Elasticity (Elastisite) (3+0+0) 3
Cartesian tensor notation. Analysis of strain, components and compatibility of strain. Analysis of stress; definitions and components of stress; equations of equilibrium. Constitutive equations, generalized Hook's law; governing equations of elasticity. Plane strain and plane stress; problems some examples of 2-D problems of elasticity. Energy principles. Sample problems of applied elasticity.
ME 530 Advanced Dynamics (Ileri Dinamik) (3+0+0) 3
Kinematics of rigid body motion. Coordinate tranformaitons. Rigid body dynamics. Euler's equations of motion. Eulerian angles. Motion under no force. Lagrange equations and their first integrals. Hamilton's equations. Applications to mechanical engineering systems.
ME 537 State Space Control Theory (Durum Uzayi Kontrol Kurami) (3+0+0) 3
State space representation of systems. Dynamic response from state equations. Stability, controllability and observability. Canonical form, control with state feedback. Pole placement. Observer based controllers. Reference input traking. Introduction to optimal control and Lyapunov stability. Example applications.
ME 551 Advanced Fluid Mechanics (Ileri Akiskanlar Mekanigi) (3+0+0) 3
Dynamics of motion, constitutive equations. Incompressible flows; potential flows, wing theory; waves. Compressible flows; thermodynamics of flow; two dimensional potential flows, theory of small perturbations; shock waves. Viscous flows; some exact and approximate solutions of Navier-Stokes equations.
ME 561 Conduction Heat Transfer (Iletim ile Isi Transfer) (3+0+0) 3
Steady and unsteady heat conduction involving various boundary conditions. Methods of formulation. Analytical solutions and approximate methods.
ME 579 Graduate Seminar (Lisansustu Seminer) (0+1+0) 0 P/F
The widening of the students' perspectives and awareness of topics of interest to mechanical engineers through seminars offered by faculty, guest speakers and graduate students.
ME 581, 582, 583, 584, 585, 586, 587, 588, 589 Special Topics (3+0+0) 3
(Özel Konular)
Special topics of current interest in mechanical engineering selected to suit the individual interests of the students and faculty in the department. The course is designed to give the student of advanced level an opportunity to learn about the most recent advances in the field of mechanical engineering.
ME 591, 592, 593, 594, 595, 596 Special Studies (Özel Calismalar) (3+0+0) 3
Study of special subjects not covered in other courses at the graduate level.
ME 597, 598 Mechanical Engineering Seminars (1+0+0) 1
(Makina Muhendisligi Seminerleri)
Subjects and speakers to be arranged.
ME 599 Guided Research (0+4+0) 0 (ECTS :8) P / F
(Yonlendirilmis Caliþmalar)
Research in the field of Mechanical Engineering, supervised by faculty.
ME 503 Mechanics of Continua I (Surekli Ortamlar Mekanigi I) (4+0+0) 4
Vectors, matrix algebra, tensor analysis. Deformation and strain tensors. Length, angle, area and volume changes. Kinematics of motion, mass, momentum, moment of momentum, and energy. Fundamental axioms of mechanics. Stress; thermodynamics of continuous media. Constitutive equations; ideally elastic solids. Stokesian fluids.
ME 602 Mechanics of Continua II (Surekli Ortamlar Mekanigi II) (3+0+0) 3
Constitutive equations; thermomechanical materials, elastic materials. Stokesian fluids. Elasticity, fluid dynamics, thermoelasticity, visco-elasticity. Linear and nonlinear physical interactions in continuous media. Selected problems of practical importance in engineering disciplines.
ME 610 Finite Elements (Sonlu Elemanlar) (3+0+0) 3
Strong and weak statements of boundary value problems. The concept of finite element discretization and finite interpolatory schemes. The isoparametric concept. Programming techniques for numerically integrated finite elements. Implemntation of finite element model and solution methods. Preprocessing and postprocessing. Time-stepping algorithms and their implementation approximation errors in the finite element method and error analysis.
ME 613 Deformation of Engineering Materials (3+0+0) 3
(Muhendislik Malzemelerinin Sekil Degistirmesi)
Fundamental of the mechanical behavior of materials. Elements of dislocation theory. Plastic deformation of crystalline materials. The relationship between microstructure and mechanical behavior at ambient and elevated temperatures.
ME 614 Materials Processing (Malzeme Uretimi) (3+0+0) 3
Control of microstructure and alternation of material properties. Heat treatment of steel. Precipitation hardening. Shape memory alloys. Processing of electronic and magnetic materials. Processing of glasses. Powder metallurgy.
ME 618 Mechanical Behavior of Materials (3+0+0) 3
(Malzemelerin Mekanik Davranisi)
Treatment of elastic, plastic and creep deformation under steady and cyclic loads. Emphasis on approximate solutions which enable the prediction of service performance from simple tests. Failure due to fatigue, creep rupture and plastic instability. Treatment of fracture from engineering point of view.
ME 620 Fracture (Kirilma) (3+0+0) 3
Stress analysis of cracked members; applications of linear elastic fracture mechanics; experimental determination of fracture toughness; microstructural aspects of fracture toughness. Fracture prediction beyond linear elastic range: the transition temperature approach, crack opening displacement, J-integral. Fatigue crack initiation, propagation and stress corrosion cracking.
ME 622 Advanced Vibrations (Ileri Titresimler) (3+0+0) 3
Vibratory response of multi-degree-of-freedom systems, matrix formulation, concepts of impedance, frequency response, and complex mode shapes. Nonlinear vibrations, parametric resonance. Vibration of elastic bodies. Modal analysis.
ME 625 Optimum Structural Design (En Iyi Yapisal Tasarim ) (3 +0+0) 3 (ECTS : 8)
Basic concepts of design optimization: Classical techniques in structural optimization (differential calculus, variational calculus, Lagrange multipliers); Karush-Kuhn-Tucker conditions. Application of linear and nonlinear programming to structural problems. Advanced topics in structural optimization.
ME 626 Mechanics of Composite Materials (3+0+0) 3
(Kompozit Malzemelerin Mekanigi)
Types of composite materials; matrix materials, thermosets, thermoplastics, fiber materials. Effective moduli:rule of mixtures. Constitutive relation for anisotropic materials. Laminates: constitutive relations, transformation equations. Strength and failure criteria. Classical theory of laminated plates; governing relations, higher order theories, energy methods. Cylindirical bending and vibration of laminated plates.
ME 631 Engineering Analysis (Muhendislik Analizi) (3+0+0) 3
Planning and design of project of a comprehensive character requiring the correlation of principles and procedures drawn from a variety of areas in engineering and related branches of science.
ME 632 Approximate Solution Techniques (3+0+0) 3
(Yaklasik Cozum Yontemleri)
Method of weighted residuals; boundary value, eigenvalue and initial value problems in heat and mass transfer. Application to fluid mechanics, chemical reaction systems, convective instability problems. Variational principles in heat and mass transfer. Convergence and error bounds.
ME 634 Robotics (Robot Sistemleri) (3+0+0) 3
Fundamental aspects of robotics and type of robots. Rotation matrices. Homogeneous transformations. Direct kinematics. Inverse kinematics. Jacobean matrix. Dynamic force analysis via Newton-Euler formulation. Motion equations via Lagrangian formulation. Trajectory planning. Control methods of manipulators.
ME 636 System Modeling and Identification (3+0+0) 3
(Sistem Modelleme ve Tanilama)
Systems and models. Modeling of complex systems. Lagrange equations. Bond graphs. System identification. Estimation from transient response. Spectra and frequency functions. Least squares estimation. Parameter estimation in dynamic models. Model validation.
ME 641 Wave Propagation (Dalga Yayilmasi) (3+0+0) 3
Basic equations of elastodynamics, methods of solutions. Navier's equations. Selected problems in one and two space dimensions. Impact problems, explosion, reflection, refraction, Rayleigh surface waves, and various other selected problems of practical importance in diverse engineering disciplines.
ME 652 Viscous Flow Theory (Viskos Akis Kurami) (3+0+0) 3
Equation of Motion for Viscous flow Exact solutions of Navier-Stokes equations. Creeping flow: Stokes and Oseen solutions, lubrication theory. Boundary layer theory: similar solutions, approximate methods of solution, computer methods of solution, stability, turbulent boundary layers. Introduction to three-dimensional compressible boundary layer flows.
ME 653 Turbulent Flow Theory (Turbulansli Akislar Kurami) (3+0+0) 3
Basic concepts. Scales of time, velocity, space. Time averaging of fundamental equations. Turbulent flow theories and models. Dynamics of turbulence. Turbulent pipe, boundary layer and force shear flows. Turbulent transport. Statistical description of turbulence. Spectral dynamics.
ME 654 Gas Dynamics (Gaz Dinamigi) (3+0+0) 3
Basic equations of compressible flow. Wave propagation in compressible media. One dimensional compressible flow. Equations of motion for multidimensional flow. Methods for solution. Oblique shock. Introduction to hypersonic flow. Introduction to rarefied gas dynamics.
ME 655 Advanced Turbine Design (Ileri Turbin Tasarimi) (3+0+0) 3
Review of gas dynamics and thermodynamics. Velocity triangles. Two dimensional flow in turbine stages. Turbine cascades. Calculation of design point efficiency of turbine stages using cascade data. Potential flow and methods of solution. Three dimensional design of turbines. Radial equilibrium theory. Off-design performance. Introduction to turbine cooling.
ME 656 Computational Fluid Dynamics (Sayisal Akiskanlar Dinamigi) (3+0+0) 3
Fundamentals of computational fluid dynamics and high performance computing; basic flow models; grid generation; discretization techniques. Analysis of linear and nonlinear systems; algorithm development; convective-diffusive systems; turbulence modeling; combustion modeling.
Prerequisite: ME 551
ME 660 Advanced Thermodynamics (Ileri Termodinamik) (3+0+0) 3
An advanced study of the first and second laws of thermodynamics and their application to engineering systems and flow processes. Equilibrium conditions. Thermodynamic potentials; systems of variable mass. Chemical equilibrium and thermodynamics of chemical reactions. Emphasis is placed on the relationship of thermodynamics to the broad fields of engineering and applied science.
ME 662 Convective Heat Transfer (Tasinim ile Isi Transferi) (3+0+0) 3
Basic equations of fluid flow. Differential and integral equations of the boundary layer. Forced convection in internal and external laminar flows. Momentum-heat transfer analogies for turbulent flow. Natural convection.
ME 663 Radiation Heat Transfer (Isinim ile Isi Transferi) (3+0+0) 3
Basic laws of thermal radiation. Radiation properties of solids and liquids. Exchange of thermal radiation between surfaces separated by transparent media; non-gray and non-diffuse surfaces. Gas radiation in enclosures. Radiation combined with conduction and/or convection.
ME 664 Two-Phase Heat Transfer (Iki Fazli Isi Transferi) (3+0+0) 3
Nucleation and bubble growth in boiling. Pool boiling heat transfer. Critical heat flux. Film boiling. Kinematics and dynamics of adiabatic two-phase flow. Two phase flow with boiling and/or evaporation. Stability of two-phase flows. Condensation.
ME 681, 682, 683, 684, 685, 686, 687, 688, 689 Special Topics (3+0+0) 3
(Özel Konular)
Advanced special topics of current interest in mechanical engineering selected to suit the individual interests of the students and faculty in the department. The course is designed to give the student of advanced level an opportunity to learn about the most recent advances in the field of mechanical engineering.
ME 691, 692, 693, 694, 695, 696 Special Studies (Özel Calismalar) (3+0+0) 3
Study of special subjects not covered in other courses at the graduate level.
ME 697, 698 Mechanical Engineering Seminars (1+0+0) 1
(Makina Muhendisligi Seminerleri)
Subjects and speakers to be arranged.
ME 699 Guided Research (Yonlendirilmis Calicmalar I) (2+0+4) 4(ECTS :8)
Research in the field of Mechanical Engineering, by arrangement with members of the faculty; guidance of doctoral students towards the preparation and presentation of a research proposal.
ME 69A Guided Research II (0+4+0) 0 (ECTS :8) P / F
(Yonlendirilmis Calismalar II )
Continued research in the field of Mechanical Engineering, supervised by faculty; preparation and presentation of a research proposal.
ME 69B Guided Research III (0+4+0) 0 (ECTS :8) P / F
(Yonlendirilmis Calismalar III )
Continued research in the field of Mechanical Engineering, supervised by faculty; preparation and presentation of a research proposal.
ME 69C Guided Research IV (0+4+0) 0 (ECTS :8) P / F
(Yonlendirilmis Calismalar IV)
Continued research in the field of Mechanical Engineering, supervised by faculty; preparation and presentation of a research proposal
ME 69D Guided Research V (0+4+0) 0 (ECTS :8) P / F
(Yonlendirilmis Calismalar V)
Continued research in the field of Mechanical Engineering, supervised by faculty; preparation and presentation of a research proposal.
ME 790 Ph.D. Thesis (Doktora Tezi)