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GRADUATE INSTITUTE of NATURAL and APPLIED SCIENCES / DEPARTMENT of NAVAL ARCHITECTURE and MARINE ENGINEERING

Course Catalog
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GRADUATE INSTITUTE of NATURAL and APPLIED SCIENCES / DEPARTMENT of NAVAL ARCHITECTURE and MARINE ENGINEERING /
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GIML5035Nonlinear effects on ship stability3+0+0ECTS:7.5
Year / SemesterFall Semester
Level of CourseThird Cycle
Status Elective
DepartmentDEPARTMENT of NAVAL ARCHITECTURE and MARINE ENGINEERING
Prerequisites and co-requisitesNone
Mode of Delivery
Contact Hours14 weeks - 3 hours of lectures per week
LecturerDoç. Dr. Emre PEŞMAN
Co-Lecturer
Language of instructionTurkish
Professional practise ( internship ) None
 
The aim of the course:
Solving ordinary differential equations of nonlinear roll motion with approximate analytical methods and numeric methods
 
Programme OutcomesCTPOTOA
Upon successful completion of the course, the students will be able to :
PO - 1 : Learn roll motion and damping coefficient of roll motion1,41,
PO - 2 : learn how to solve linear and nonlinear differential equations1,41,
PO - 3 : have knowledge about biffurcations and caotic motions1,41,
CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), PO : Learning Outcome

 
Contents of the Course
Nonlinear roll motion models for beam, following and head seas (Duffing, Mathieu Hill, Duffing-Mathieu equations), numerical solutions of nonlinear equations in time domain, approximate analytic solution of nonlinear equations in time and frequency domain, Stability of solutions, fold and pitchfork bifurcations, influence of nonlinearity on ship stability
 
Course Syllabus
 WeekSubjectRelated Notes / Files
 Week 1roll motion equations
 Week 2roll motion equations
 Week 3roll motion equations
 Week 4damping coefficients
 Week 5damping coefficients
 Week 6damping coefficients
 Week 7mid-term exam
 Week 8solution methods of linear and nonlinear differantial equations
 Week 9solution methods of linear and nonlinear differantial equations
 Week 10mid-term exam
 Week 11solution methods of linear and nonlinear differantial equations
 Week 12solution methods of linear and nonlinear differantial equations
 Week 13inovative soltions for roll damping
 Week 14bifurcations and coatic motion
 Week 15bifurcations and coatic motion
 Week 16final exam
 
Textbook / Material
1Nayfeh, A. H., Mook, D.T. 1995, Nonlinear Oscillations, WILEY/VCH Verlag GmbH & Co. KGaA
2Pesman, E., 2012, Gemi Stabilitesinde Nonlineer Etkiler, Trabzon.
 
Recommended Reading
 
Method of Assessment
Type of assessmentWeek NoDate

Duration (hours)Weight (%)
Mid-term exam 7 15/04/2024 2 20
In-term studies (second mid-term exam) 10 13/05/2024 2 30
End-of-term exam 16 03/06/2024 2 50
 
Student Work Load and its Distribution
Type of workDuration (hours pw)

No of weeks / Number of activity

Hours in total per term
Yüz yüze eğitim 3 14 42
Sınıf dışı çalışma 4 12 48
Arasınav için hazırlık 8 2 16
Arasınav 2 1 2
Uygulama 4 10 40
Ödev 6 10 60
Kısa sınav 2 1 2
Dönem sonu sınavı için hazırlık 4 4 16
Dönem sonu sınavı 2 1 2
Total work load228