Parametric Roll Motion Reduction of a Ship with a Passive Anti-Roll Tank

Abstract

In this study, the influence of a U-tube passive anti-roll tank on parametric roll motion has been investigated as a mechanical absorber of a dynamic system. Specifically, this paper concentrates on how the initial conditions of a coupled roll motion and fluid motion in the tank act on the performance of an anti-roll tank. Parametrically excited roll motion was modeled as a single degree of freedom system incorporating heave and pitch effects by means of a time-varying restoring moment. Fluid motion in the tank was modeled as a single degree of freedom system. Coupled equations of motion were solved numerically and the results were presented in the time domain. Furthermore, the results were comparatively depicted as maximum roll amplitudes vs. initial values for a ship with and without an anti-roll U-tube tank.

Keywords

• Parametric roll motion
• Initial values
• anti-roll tanks
• passive tanks

Pasif Yalpa Tankı ile Gemilerde Parametrik Yalpa Hareketinin Sönümlenmesi

Öz

Bu çalışmada U tüp şeklindeki pasif yalpa tankının parametrik yalpa hareketi üzerindeki sönümleyici etkisi incelenmiştir. Bu çalışmada özellikle adi diferansiyel denklem olan yalpa hareketi ve tank içindeki sıvı hareketi denklemlerinin başlangıç şartlarının yalpa sönümle üzerindeki performansına dikkat çekilmiştir. Parametrik yalpa hareketi, dalıp çıkma ve baş kıç vurma hareketlerinin zamanla değişen doğrultma moment terimi içine gömüldüğü bir serbestlik dereceli lineer olmayan bir denklem olarak modellenmiştir. Tank içindeki sıvı hareketi de 1 serbestlik derecesinde modellenmiştir. Denklem çifti sayısal olarak çözülmüş ve sonuçları zamana bağlı olarak gösterilmiştir. Ayrıca başlangıç şartlarının pasif yalpa tanklı ve tanksız durumlar üzerindeki etkisi karşılaştırmalı olarak sunulmuştur.

Anahtar Kelimeler

• Paramatrik yalpa hareketi
• başlangıç değerleri
• yalpa önleme tankları
• pasif tanklar

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