Graduate Courses Syllabus

 | Last update: 2025/01/1 | 
STRUCTURAL HEALTH MONITORING SHM introduction
Finite Element Modeling 
Vibration based SHM methods
Wavelet Based method
Static Methods
Statistical Methods
ADVANCED SHIP VIBRATIONS Introduction of Mathematics of Stochastic Processes
Types of Probabilistic Distributions
Continuous and discrete spectrums
Correlation and spectral density functions
Numerical calculation of correlation and spectral density functions
Time-independent dynamic linear systems
Impact Response and Frequency Response Function
Structural vibrations under random excitation
Structural vibration under support excitation
Functions of Spectral Density of Wave Force and Response of Marine Structures to Wave Load
Distribution of maximums and crossing a certain level
Failure due to random loading
Fatigue due to random loads
Broad band and narrow band process
Vibration of Multi-Degree Freedom Structures
Response of Multi-Degree Freedom Structures to Random Loads
Stochastic Vibration of Systems with Extended Properties
Finite Element Method and Advanced Numerical Analysis - Introduction to the general principles of the finite element method and its various applications in the design and analysis of structures
- One-dimensional finite elements (spring finite elements, truss finite elements, beam finite elements, frame finite elements, grillage finite elements)
- Beam finite elements with axial stiffness, bending-shear stiffness in two planes and torsional stiffness
- Plane strain and plane stress finite elements
- Plate bending finite elements
- Thermal finite elements
- Practical considerations in modeling and analysis using the finite element method
- Recommended guidelines for modeling and analyzing marine structures using the finite element method
Design of Ship Structure - Methods of design and analysis of ship structures
- Analysis of the response of ship hull girder
- Analysis of the response of ship hull modules
- Analysis of secondary and tertiary responses of ship structures
- Integration of results from ship structure analysis at different levels
- Evaluation of longitudinal strength of ship structures
- Evaluation of transverse strength of ship structures
- Evaluation of zone and local strengths of ship structures
- Evaluation of buckling and ultimate strength of ship structures
Advanced Ship Vibrations
1.  Ship vibration definitions, Rigid body and elastic body vibrations, Ship vibration sources and excitations, Global and local vibration of structures.
2.  Standards and rules for assessment, Effects of vibrations on humans, Acceptance criteria for ship vibrations, Vibration limits for local structures and machinery.
3.  Vibration of discrete multi-degree-of-freedom systems, Equations of motion, Modal analysis of a system, Modes of vibration and natural frequencies.
4.  Coupling of the equations of motion, Generalized coordinates and coordinate transformations, Orthogonality of modes of vibration and its applications.
5.   Forced vibration of multi-degree-of-freedom systems, Properties of stiffness, inertia, and flexibility matrices.
6.  Methods of analytical dynamics in vibration, Work and energy principle, Hamilton’s principle, Virtual work method in dynamics, Lagrange’s equations of motion and its application.
7.  Vibration of continuous systems, Boundary value problems in vibration, Partial differential equation of motion, Geometrical and natural boundary conditions.
8.   Lateral vibration of strings, Longitudinal vibration of bars, Torsional vibration of shafts, Bending vibration of beams.
9.  Modal analysis of a continuous system, Eigenvalue problems of continuous systems, Modes of vibration and natural frequencies, Definition of the orthogonality of modal functions.
10. Vibration equation of motion for Euler beam, Euler-Rayleigh beam, Timoshenko beam, Kirchhoff plate, and Kirchhoff-Rayleigh plate.
11. Approximation numerical methods in vibration, Rayleigh energy method, Rayleigh-Ritz method, Assumed modes method.
12. Ship structural vibration analysis, Analytical continuous models, Computational methods, Finite element method, Boundary conditions for a ship, Added mass.
13. Ship loading conditions, Harmonically forced ship vibration, Propeller and engine excitation harmonic force.
14.       Measurement of ship vibrations, Measurement systems and procedures, Evaluation and assessment, Vibration sensors, Accelerometers.
Engineering Mathematics
  1. Fourier Series and Fourier Transform: Definition of Fourier series, various forms, properties of the Fourier transform, and its application to solving equations.
  2. Partial Differential Equations: Solving equations using the separation of variables method and analyzing wave types.
  3. Complex Analysis and Complex Integrals: Exploring complex functions, mappings, differentiability, and neighborhoods of complex functions.
  4. Integration in the Complex Plane: Introducing integral theorems and their application in computing line and surface integrals.
Seminar
  • Teaching the fundamentals and stages of conducting research, ethical principles, and methods for presenting findings both orally and in writing.
  • Reviewing and selecting practical research topics aligned with national needs and the student’s area of expertise.
  • Conducting focused research to prepare for the master's thesis topic.
  • Preparing a final report in written form and presenting it orally by the student.
Thermodynamics (1) The main topics of this course include an introduction to thermodynamic definitions, material properties, work and heat, and the first and second laws of thermodynamics. These topics cover concepts such as phase equilibrium of materials, equations of state for gases, quasi-equilibrium processes, and energy and work laws in closed and open systems. Additionally, students will learn to analyze reversible and irreversible processes, thermodynamic cycles, and the efficiency of thermal systems.
Dynamics of Marine Vehicles 1.Introduction .2Wave theory .3Ship motion in regular waves, uncoupled .4Ship motion in regular waves, coupled .5Ship motion in Irregular waves .6Motion induced phenomena in regular and irregular waves .7Seakeeping criteria .8model experiment of ship dynamics in waves .9Ship motion analysis using non-linear methods Appendix1: Calculation methods of hydrodynamic coefficients of ship sections
Stability of Damaged Ships 1.Introduction
2.Basic formulation of the floodable length
3.Evaluation of damaged ships stability using deterministic method
4. Probability distribution function of flooding ships compartments subdivided just by transverse bulkheads
5. Probability distribution function of flooding ships compartments subdivided by longitudinal bulkheads
6.A review on survivability of ships in damaged condition
7.A review on SOLAS concerning damaged ships stability
8. Analysis of damaged ships motion in sea waves
9. Analysis of collision of two ships



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