Courses given by the Department of Mechanical Design and Manufacturing
| Course Code | Course Name | METU Credit | Contact (h/w) | Lab (h/w) | ECTS |
|---|---|---|---|---|---|
| MDM501 | ADVANCED ENGINEERING MATHEMATICS | 3 | 3.00 | 0.00 | 8.0 |
Course ContentReview of ordinary differential equations;linear differential equation of the first order;linear differential equations with constant coefficients;particular solitions by variations of parameters.Power series solutions;method of Frobenius;Legendre`s equation;Fourier-Legendre Series;Bessel`s equation; modified Bessel equation.Fourier methods;Fourier series;Sturm-Liouville theory;Fourier integral;Fourier transformation. Partial differantial equations;heat conduction equation; seperation of variables; waves and vibrations in strings;wave equations; D Alembert`s solution; longitudinal vibrations in an elastic rod;two dimensional stress systems;solution of Navier`s equations by the application of Fourier transforms;Laplace equation. | |||||
| MDM502 | NUMERICAL METHODS FOR ENGINEERS | 3 | 3.00 | 0.00 | 8.0 |
Course ContentOrdinary differential equations.Euler,Runge-Kutta multi-step,predictor-corrector methods.Boundary value problems.Matrix and shooting methods.Partial differential equations.Finite difference ,Crank-Nicholson,Gauss-seidel methods. | |||||
| MDM503 | APPLIED ELASTICITY | 3 | 3.00 | 0.00 | 8.0 |
Course ContentIntroduction;strength of materials approach;elasticity approach.Basics of tensor algebra and transformation;index notation;vector transformation;higher-order tensors;Gauss divergence theorem. Analysis of strain;displacement;strain and rotation tensors;geometric construction of small deformation theory; strain transformation; principal strain compatibility.Analysis of stress;body and surface forces;traction vector;equations of equilibrium;stress transformation;principal stress.Constituve relations; generalized Hooke`s law;symmetry properties of the elasticity tensor;planes of elastic symmetry;Lame`s constants;engineering constants of isotropic materials.Formulation of problems in elasticity;boundary conditions and fundamental problem classifications;governing equations of elasticity;displacement based formulation(Navier`s equations);stress based formulation (Beltrami-Michell compatibilitiy equations);principle of superposition.Two-dimensional elasticity;plane strain;plane stress;Airy setress function;two-dimensional problem solution;stress function formulation with polar coordinates;thermoelasticity. | |||||
| MDM504 | ADVANCED DYNAMICS | 3 | 3.00 | 0.00 | 8.0 |
Course ContentThree dimensional kinematics:Coordinate system and transformation.Spatial rotations.Euler angles.Relative velocity and acceleration relationships.Basics of Newtonian mechanics.Inertia tensor.Rigid body dynamics.Gyroscopic effects.Rigid body systems.Analytical mechanics:Genaralized coordinates and forces.Lagrange`s equations.Holonomic and nonholonomic constraints.Lagrange multipliers and Lagrang`s equations with constraints. | |||||
| MDM505 | ADVANCED THERMODYNAMICS | 3 | 3.00 | 0.00 | 8.0 |
Course ContentElements of thermodynamics terminology.The First Law for closed system.Work transfer.The First Law for open system.The second Law for closed systems.The Second Law for open systems. Lost available work.Cycles.Entropy generation and energy destruction.Single-phase systems.Generalized energy analysis. | |||||
| MDM506 | ADVANCED FLUID MECHANICS | 3 | 3.00 | 0.00 | 8.0 |
Course ContentContinuum properties of fluids.system-control volume conceps;Reynolds transport theorem ;integral equations of fluid flow.Gauss divergence theorem;general differential equations of fluid mechanics;vorticity and Bernoulli theorem;Euler,Navier-Stokes ,Crocco, and Bernoulli equations;potential,Couette,Stokes and geostopic flows;Helmholtz`s vorticity transport,circulation,Kelvin`s theorems;concept and samples of flow instabilities. | |||||
| MDM507 | MODERN CONTROL SYSTEMS | 3 | 3.00 | 0.00 | 8.0 |
Course ContentIntroduction: State Space Approach to Control System analysis,State Space Representation of Dynamic systems;Analysis of control Systems in State Space:Mathematical Tools in State Space Analysis,Transfer Matrix,Controllability,Observability,Canonical Forms,Liapunov Stability Analysis,Liapunov Stability Analysis of linear Time-Invariant Systems,Linear Time Varying Systems Design of Control Systems in State Space:Pole Placement,State Observers,Design of Servo Systems,Optimal Control Systems,Model Reference Control Systems,Adaptive Conrol Systems. | |||||
| MDM509 | VIBRATIONS OF CONTINUOUS SYSTEMS | 3 | 3.00 | 0.00 | 8.0 |
Course ContentGeneralized coordinates and Hamilton`s principle.Boundary value problem.The eigenvalue problem and generalized orthogonality.Vibration of strings,bars and membranes.Variational methods in vibration of plates.Approximate methods.Classical and variational methods in conjunction with finite diffference technique.Modal analysis and response of undamped continuous systems. | |||||
| MDM512 | VICOUS FLOW | 3 | 3.00 | 0.00 | 8.0 |
Course ContentOutline of fluid motion with friction and boundary layer concept.Derivation of the equations of motion of a compressible viscous fluid(Navier-Stokes equations).General properties of Navier-Stokes equations,exact solutions of Navier-Stakes equations,creeping flow.Derivations of boundary layer equations,general properties of the boundary layer equations,exact solutions of the steady state boundary layer equations,approximate methods for the solution of the boundary layer flows.Boundary layer control.Stability of laminar flows.Transition.Fundamentals of turbulent flow. | |||||
| MDM513 | SMART STRUCTURES AND MATERIALS | 3 | 3.00 | 0.00 | 8.0 |
Course ContentDesign of Smart Structures.Modeling Mechanics of Smart Materials.Piezoelectric materials.Fiber optics.Shape memory alloys.Electrorheological and magnetorheological fluids. Magnetorheological elastomers.Carbon nanotubes.Control of structures.Active and semi-active vibration control.Structural health monitoring.Morphing of structures. | |||||
| MDM514 | OPTIMUM DESIGN OF MECHANICAL SYSTEMS | 3 | 3.00 | 0.00 | 8.0 |
Course ContentOptimum design problem formulation. Optimum design concepts.Linear programming.Unconstrained optimization.Constrained optimization.Discrete variable optimization.Genetic algorithms.Multiobjective optimization. | |||||
| MDM516 | INTRODUCTION TO FRACTURE MECHANICS AND FATIGUE | 3 | 3.00 | 0.00 | 8.0 |
Course ContentIntroduction;conventional failure criteria;characteristic brittle failures;Griffith`s work;fracture mechanics.Linear Elastic Stress Fields in Cracked Bodies;crack deformation modes and basic concepts;Westergaard method;crack tip stress and displacement fields; stress intensity factor solutions;three dimensional configurations.Small Scale Yielding; cracktip plastic zone ;Irwin`s model.Energy of Fracture;energy balance during crack growth;Griffith theory;energy release rate and stress intensity factor;crack stability. Critical Stress Intensity Factor Fracture Criterion;fracture criterion;fracture toughness;micromechanics of fracture;experimental determination of KIc;R-curves.Fatigue crack growth;constant amplitude loading;fatigue life prediction using stress intensity factor;variable amplitude loading;retardation; Wheeler`s model;fatigue design philosophies; damage tolerance methodology;fatigue crack behavior in the presence of residual stress;environmentally enhanced fatigue crack propagation (corrossion fatigue). Computational fracture mechanics. | |||||
| MDM517 | FINITE ELEMENT METHOD IN SOLID MECHANICS | 3 | 3.00 | 0.00 | 8.0 |
Course ContentDiscretization and assembly concepts.Variational formulation.One,two and three dimensiomal finite elements.Multi-constraints.Dynamic problems.Stability problems.Thermal effects.Nonlinear problems. | |||||
| MDM518 | MECHATRONICS | 3 | 2.00 | 2.00 | 8.0 |
Course ContentBasic applied concepts in mechatronic components and instrument.System integration via low- and high-level programming.Introduction of embedded and object oriented programming.Laboratory experiments on: identification and classification of mechatronic components,sensors and transducers,machine vision,actuating systems and mechatronic instrumentation. | |||||
| MDM519 | ADVANCED HEAT TRANSFER | 3 | 3.00 | 0.00 | 8.0 |
Course ContentFormulation of steady,unsteady,multidimensional conduction Methods of solution including separation of variables, integral transformations. Approximations and numerical means.Equations of motion. Formulation of laminar,free and forced convection including integral techniques. Methods of solution: Similarity,perturbation.Turbulent convection in term of molecular and eddy diffusivities.Prandtl and Karman`s theories.Analogy between heat and momentum transfer. Reynolds,Taylor,Prandtl and Martinelli analogies. | |||||
| MDM520 | COMPUTATIONAL FLUID DYNAMICS | 3 | 3.00 | 0.00 | 8.0 |
Course ContentConservation laws and boundary conditions,finite volume method for diffusion problems,finite volume method for convection-diffusion problems,solution algorithms for pressure-velocity coupling in steady flows,solution of discretization equations,implementation of SIMPLE algorithm for steady flows, implementation of SIMPLE algorithm for unsteady flows. | |||||
| MDM521 | KINEMATIC SYNTHESIS | 3 | 3.00 | 0.00 | 8.0 |
Course ContentIntoduction to synthesis,graphical and analytical methods in dimensional synthesis.Two,three and four positions of a plane.Correlation of crank angles.Classical transmission angle problem.Optimization for the transmission angle.Chebyshev theorem.Current topics in mechanism synthesis. | |||||
| MDM524 | COMBUSTION | 3 | 3.00 | 0.00 | 8.0 |
Course ContentScope of combustion.Combustion thermodynamics.Basic transport phenomena.Chemical kinetics;reaction rate.Explosions in gases.Laminar and turbulent flames in premixed combustible gases.Structure of detonation.Diffusion flames; liquid droplet combustion.Theory of thermal ignition.Combustion of coal; burning rate of ash forming coal ,fluidized bed combustion.Pollutant formation.Propellants and rocket propulsion. | |||||
| MDM525 | VIBRATION CONTROL AND ISOLATION | 3 | 3.00 | 0.00 | 8.0 |
Course ContentVibration control.Viscoelastic damping.Design of surface damping treatments.Design of dynamic vibration absorbers.Air-film damping.Piezoelectric shunt circuits.Impact dampers.Friction damping.Vibration isolation.Design of vibration isolators.Active and Semi-active vibration control and isolation.Design for structural dynamics behavior. | |||||
| MDM526 | MACHINE DYNAMICS | 3 | 3.00 | 0.00 | 8.0 |
Course ContentKinematic influence coefficients.Equation of motion and dynamics response of single degree-of-freedom machines:analytical and numerical solution methods.Shaking forces and moments.Balancing of a four-bar linkage.Dynamically equivalent mass systems.Analysis of unbalance in multi-cylinder engines.Kinetostatics: effects of dry friction,power flow in simple and planetary gear trains.Jump phenomenon in rigid cam-followers systems. | |||||
| MDM527 | CONTINUUM MECHANICS | 3 | 3.00 | 0.00 | 8.0 |
Course ContentGeneral aspects,basic assumptions about continuum idealization of real materials.Development of mathematical tools and tensors.Kinematics of continuum.Stresses.General principles including conservation of mass,linear and angular momenta,energy and second law of thermodynamics.Theory of constitutive equations.Basic material laws. | |||||
| MDM528 | COMPRESSIBLE FLUID FLOW | 3 | 3.00 | 0.00 | 8.0 |
Course ContentIsentropic flows,normal shock Waves,flow in constant are ducts with friction,flow in ducts with heating and cooling,steady and two-dimensional supersonic flows,wave propagation,multi-dimensional equations of gas dynamics,flow with small perturbations,methods of characteristics,solution of unsteady one-dimensional flows. | |||||
| MDM531 | NONCONVENTIONAL MACHINING OPERATIONS | 3 | 3.00 | 0.00 | 8.0 |
Course ContentA brief overview and evaluation of nontraditional manufacturing processes and their comparison to traditional manufacturing processes.Classification of nontraditional machining processes acording to energy used in material removal and overview of process principles,equipment,machining parameters,process capabilities and applications.Mechanical energy:Ultrasonic machining; abrasive jet machining,water jet machining. Electrochemical energy:Electrochemical machining,electrochemical grinding,electrochemical honing.Chemical energy:Chemical machining.Thermal energy:Electric discharge machining (EDM)wire EDM,laser beam machining ,plasma machining.Overall comparisons of nontraditional machining processes. | |||||
| MDM533 | ROCKET PROPULSION TECHNOLOGY | 3 | 3.00 | 0.00 | 8.0 |
Course ContentFundamentals of rockets propulsion.The ideal rocket.Rocket equation.Rocket performance parameters.Real rockets:classification of losses and efficiencies.Multi-stage rockets. Types of chemical rocket propulsion systems.Design and performance of rocket propulsion components and systems.Solid and liquid propellants.Classification of solid propellants and their ingredients.Propellant combustion mechanisms and models.Propellant burning-rate laws.Propellant grain configuration and grain design.Advanced rocket propulsion concepts. | |||||
| MDM534 | FINITE ELEMENT ANALYSIS IN THERMOFLUIDS | 3 | 3.00 | 0.00 | 8.0 |
Course ContentVariational techniques,methods of weighted residuals,Ritz methods,Galerkins tecnique.Review of two-dimensional finite elements.Inviscid incompressible flows,inviscid compressible flows,incompressible viscous flows without inertia and incompressible viscous flows with inertia.Three-dimensional isoparametric finite elements.Three-dimensional unsteady Euler equations. | |||||
| MDM535 | COMPUTER AIDED DESIGN AND MANUFACTURING | 3 | 3.00 | 0.00 | 8.0 |
Course ContentIn this course overview CAE systems,orthographic and perspective display transformations,parametric representation of curves and surfaces,elementary differential geometry;interactive graphics;bicubic surface paths,image generation.This course presents advanced mechanical design techniques using a CAD/CAM software.It explains advanced methods and techniques about assembly management and mechanisms design,kinematic and dynamic analyses,(FEA),and CNC manufacturing.The material is presented based on extensive hands-on examples.The CAM sections include practical examples with 3-4 axes Vertical Machining Centers and a Turning CNC center.Rapid Prototyping Methods,Automation in Manufacturing,Automatic Programming,Robots,CIM,Group Technology ,Reverse Engineering | |||||
| MDM537 | FLUID MACHINERY | 3 | 3.00 | 0.00 | 0.0 |
Course ContentIntroduction,Review of Fluid Mechanics,Fundamental Relations for the Flow Through an Arbitrary Turbo machine,Energy Relations Through an Arbitrary Turbomachine, Momentum Relations Through an Arbitrary Turbomachine,Theoretical Operational Characteristics of turbomachinery,Dimensional Analysis and Similitude,Actual Operational Characteristics and pump system Combinations,Hydraulic pumps,Hydraulic Turbines,Centrifugal Compressors and Fans,Axial Compressors and Fans,Design Considerations,Positive Displacement Fluid Machinery. | |||||
| MDM540 | IMPACT OF SOLIDS | 3 | 3.00 | 0.00 | 8.0 |
Course ContentStereomechanical impact:Stress waves in solids. Elementary elastic stress wave theory.Applications of elementary one dimensional elastic stress wave theory.Momentum traps.Spalling in bars and flat plates.Fractures with stress waves in bars. | |||||
| MDM541 | DYNAMIC LOADING OF SIMPLE STRUCTURES | 3 | 3.00 | 0.00 | 8.0 |
Course ContentIntroduction.Dynamic properties of materials.One-dimensional elastic-plastic stress waves in bars.Impulsive loading of beams.Static and dynamic loading of rings and frames.Dynamic response of some axi-symmetric solids. | |||||
| MDM599 | TERM PROJECT | 0 | 0.00 | 4.00 | 10.0 |
Course ContentA term project on mechanical engineering topics carried out under the supervision of a project advisor. Project topics are announced by the department at the beginning of each semester. Students are required to submit a written report at the end of a semester. | |||||
| MDM761 | BASICS OF RESEARCH METHODS AND ETCHICS IN ENGINEERING | 1 | 1.00 | 0.00 | 1.0 |
Course ContentThe aim of this course is to provide students with an understanding of how to make research, manage data and communicate their findings, with consideration of ethical implications. | |||||