Development of an Optimal Floating Breakwater Using Numerical
Computation Method
Sistem Pengendalian (4)Marine System EngineeringNaval
Architecture DepartmentEngineering Faculty, Hasanuddin
UniversityFaisal MAHMUDDIN
[email protected] you very much Prof. Kashiwagi for the
chance.Good morning everyone and thank you very much also for
coming to my presentation.Today I will present my dissertation
which is about DesignI guess everyone has seen or knows about
floating breakwater which can be seen in these photos.
1Inverse Laplace TransformReferensi : Invers Transformasi
Laplace, Febrizal MT Even though the analysis was verified using
hydrodynamical relations shown in the previous slide, it is also
important to conduct experiment to further confirmed the
analysis.Besides to check the numerical results, the experiment
could also tell us how different the numerical results to measured
results since the anaylis is based on potential flow.2Definisi
Inverse Laplace Transform3
Pecahan Partial4
Aturan Pecahan Partial5
Contoh (1)6
Contoh (2)7
Contoh (3)8
Contoh (3)9
Sistem Penyimpanan Cairan (1)10
Aturan Cover Up11
Contoh (1)12
Contoh (3)13
Tugas14
Jawaban Tugas15
Transformasi LaplaceEven though the analysis was verified using
hydrodynamical relations shown in the previous slide, it is also
important to conduct experiment to further confirmed the
analysis.Besides to check the numerical results, the experiment
could also tell us how different the numerical results to measured
results since the anaylis is based on potential flow.16Aplikasi
Transformasi Laplace17Persamaan differensial atau model matematis
dapat digunakan untuk merepresentasikan semua atau sebagian sistem
kontrolUntuk mengetahui response dari sebuah sistem, persamaan
differensialnya harus diselesaikan Karena waktu biasanya merupakan
variabel bebas maka solusi biasanya terdiri atas solusi steady
state dan transienMetode matematika klasik biasanya menciptakan
solusi yang rumit untuk persamaan differensial linear diatas orde
satuTransformasi Laplace dapat digunakan untuk menyederhanakan
persamaan dan menentukan solusi dalam dua bentuk yang
dibutuhkanSolusi yang didapatkan kemudian diinverse ke bentuk
aslinya
17Untuk Apa Transformasi18Transformasi digunakan untuk
mentransformasi masalah kepada sebuah masalah yang lebih mudah
diselesaikan kemudian menggunakan inverse dari transformasi
tersebut untuk menyelesaikan masalah aslinya
Time Domain VS Frekuensi Domain19
t adalah variabel realf(t) adalah fungsi real
Time Domain
s adl variabel komplex
F(s) adl fungsi dengan nilai komplex
Frequency Domain
LLaplace TransformL-1InverseLaplace TransformTR. Laplace untuk
Penyelesaian ODE20Differential Equation
Laplace TransformAlgebraic Equation
Solution of theAlgebraic Equation Inverse Laplace
transformSolution of the Differential Equation
Definisi Transformasi Laplace21
Sufficient conditions for existence of the Laplace transform
Contoh Fungsi Orde Pangkat22
Contoh (1)23unit step
Contoh (2)24Shifted Step
Integral by Parts25
Contoh (3)26Ramp
Contoh (4)27Exponential Function
Contoh (5)28
sine Function Contoh (6)29cosine Function
Properti Transformasi Laplace30Addition
Properties of Laplace TransformMultiplication by exponential
Properties of Laplace TransformExamples Multiplication by
exponential
Useful Identities
Examplesin Function
Examplecosine Function
Laplace TransformInverse Laplace TransformProperties of Laplace
TransformMultiplication by time
Properties of Laplace Transform
Properties of Laplace TransformIntegration
Properties of Laplace TransformDelay
Properties of Laplace Transform
Slope =ALProperties of Laplace Transform4Slope =ALLSlope =A__A
LSlope =AL=
