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| GIML5035 | Nonlinear effects on ship stability | 3+0+0 | ECTS:7.5 | | Year / Semester | Spring Semester | | Level of Course | Third Cycle | | Status | Elective | | Department | DEPARTMENT of NAVAL ARCHITECTURE and MARINE ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | Doç. Dr. Emre PEŞMAN | | Co-Lecturer | | | Language of instruction | Turkish | | 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 Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | PO - 1 : | Learn roll motion and damping coefficient of roll motion | 4,5 | 1, | | PO - 2 : | learn how to solve linear and nonlinear differential equations | 4,5 | 1, | | PO - 3 : | have knowledge about biffurcations and caotic motions | 4,5 | 1, | | 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 | | |
| 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 |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | roll motion equations | | | Week 2 | roll motion equations | | | Week 3 | roll motion equations | | | Week 4 | damping coefficients | | | Week 5 | damping coefficients | | | Week 6 | damping coefficients | | | Week 7 | mid-term exam | | | Week 8 | solution methods of linear and nonlinear differantial equations | | | Week 9 | solution methods of linear and nonlinear differantial equations | | | Week 10 | mid-term exam | | | Week 11 | solution methods of linear and nonlinear differantial equations | | | Week 12 | solution methods of linear and nonlinear differantial equations | | | Week 13 | inovative soltions for roll damping | | | Week 14 | bifurcations and coatic motion | | | Week 15 | bifurcations and coatic motion | | | Week 16 | final exam | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 7 | 21/11/2021 | 1,5 | 20 | | In-term studies (second mid-term exam) | 10 | 19/12/2021 | 1,5 | 30 | | End-of-term exam | 16 | 16/01/2021 | 1,5 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 13 | 3 | 39 | | Arasınav | 1 | 2 | 2 | | Kısa sınav | 1 | 2 | 2 | | Dönem sonu sınavı | 1 | 2 | 2 | | Total work load | | | 45 |
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