Penerapan Metode Multiple Scales untuk Masalah Galloping pada Mooring Cable FPSO

  • Eristia Arfi Program Studi Matematika Jurusan Sains Institut Teknologi Sumatera
  • Tri Utomo Program Studi Matematika Jurusan Sains Institut Teknologi Sumatera
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Abstract

In essence, all objects in the universe have a natural frequency and when an object get an external force same with their natural frequency a resonance phenomenon will occur. In this study will be examined how the dynamic behavior of the mooring cable type  Catenary Anchor Leg Mooring (CALM) on the Floating Production Storage Offloading (FPSO) when it gets external force with a very small frequency but near to the natural frequency itself. In the case of transmission cable,  the phenomenon that describe this event is called the Galloping Phenomenon. The mathematics model of CALM system with the very small frequency will be solved using Multiple Scales method. The equilibrium point obtained is in the form of a center (stable). For  negative, the amplitude value will be positive when the phase is zero (in-phase), at this condition if the initial conditions are chosen close enough to the equilibrium point then the cable will periodically oscillate with a limited phase value. Then if the initial conditions are selected a little further from the point of equilibrium, the cable will oscillate with amplitude the initial is the maximum amplitude and the value added of the dependent phase  against time.

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Author Biographies

Eristia Arfi, Program Studi Matematika Jurusan Sains Institut Teknologi Sumatera

Program Studi Matematika Jurusan Sains

Tri Utomo, Program Studi Matematika Jurusan Sains Institut Teknologi Sumatera

Program Studi Matematika Jurusan Sains

References

[1] Arda, Eko B. Djatmiko, dan Murdjito. 2012. Studi Pengaruh Gerak Semi-submersible rilling Rig dengan Variasi Pre-tension Mooring Line terhadap Keamanan Drilling Riser. Jurnal Teknik ITS Vol. 1.
[2] Arfi, E. 2015. Penerapan Metode Multiple Scales untuk Masalah Galloping pada Dua Spans Kabel Transmisi. Ejournal.uin-suska.ac.id
[3] Berlian Arswendo Adietya, Wisnu Wardhana,& Aries Sulisetyono. Analisa Seakeping FPSO Dengan Sistem Tambat Turret Mooring. Jurusan Teknik Kelautan FTK. ITS Surabaya. Indonesia.
[4] M. F. Van Sluijs and J. H. Blok. 1977. The Dynamic Behavior of Mooring Lines. 9th Annual Offshore Technology Conference. Houston.
[5] Yang Min-dong, Teng Bin. 2010. Static and Dynamic Analysis of Mooring Linesby Nonlinear Finite Element Method. China Ocean Engineering, Vol. 24, No.3, pp. 417-430.
Published
2019-05-09
Section
Articles