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The effects of hydrodynamics load on the heave and pitch coupling oscillations of a plate

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Abstract

Heave plate is one of the most commonly used plates for controlling the movement of floating structures that are used for offshore deep water operations. Heave plates, in fact, move in both directions simultaneously. Therefore, the primary goal of this work is to examine the coupling motion’s effects on hydrodynamic coefficients caused by the heave and pitch motion of a heave plate. Numerical simulations are used to first simulate coupling motion in phase, and then out of phase which varies from \(0^\circ\) to \(90^\circ\). The effects of added mass and moment, as well as pitching and heaving damping are investigated. Based on the results of the coupling oscillation of the heaving plate at different Keulegan–Carpenter (KC), the results indicate that added mass and pitching damping have more influence than added moment and heave damping coefficient.

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Data availability

Data available on request from the correspounding author.

Abbreviations

\(A\) :

Amplitude

\({A}_{33}\) :

Added mass of heave oscillation

\({A}_{33}^{*}\) :

Non-dimensional added mass

\({A}_{55}\) :

Added moment of inertia

\({A}_{55}^{*}\) :

Non-dimensional added moment of inertia

\({B}_{33}\) :

Damping coefficient of heave oscillation

\({B}_{33}^{*}\) :

Non-dimensional damping coefficient

\({B}_{55}\) :

Damping coefficient of pitch oscillation

\({B}_{55}^{*}\) :

Non-dimensional damping coefficient

\({C}_{33}\) :

Restoring coefficient

\({D}_{d}\) :

Plate diameter

\({F}_{3}\) :

Exciting force

\({F}_{5}\) :

Exciting moment

\({M}_{3}^{*}\) :

Solid mass of plate

\({M}_{5}^{*}\) :

Solid moment of inertia

\(f\) :

Frequency

\({\tau }_{\rm w}\) :

Wall shear stress

\({C}_{\rm f}\) :

Friction coefficient

\(r\) :

Refinement ratio

\(\beta\) :

Frequency parameter

\(\varepsilon\) :

Phase lag

\(\mu\) :

Dynamic viscosity

\(\vartheta\) :

Kinematic viscosity

\(\omega\) :

Circular frequency

\(\theta\) :

Rotational motion

\({\theta }_{\rm max}\) :

Amplitude of rotational oscillation

\(\rho\) :

Density

2DOF:

Two degrees of freedom

CM:

Coarse mesh

FM:

Fine mesh

F s :

Factor of safety

FVM:

Finite volume method

KC:

Keulegan–Carpenter

MM:

Medium mesh

P :

Order of accuracy

Re:

Reynolds number

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Authors and Affiliations

  1. Engineering Department, Persian Gulf University, Bushehr, Iran

    Ebrahim Tahmasebi Boldaji & Sajad Hajizadeh

  2. College of Engineering and Technology, American University of the Middle East, 54200, Egaila, Kuwait

    Javad Farrokhi Derakhshandeh

Authors
  1. Ebrahim Tahmasebi Boldaji
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  2. Sajad Hajizadeh
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  3. Javad Farrokhi Derakhshandeh
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Correspondence to Sajad Hajizadeh.

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Tahmasebi Boldaji, E., Hajizadeh, S. & Farrokhi Derakhshandeh, J. The effects of hydrodynamics load on the heave and pitch coupling oscillations of a plate. J Mar Sci Technol (2024). https://doi.org/10.1007/s00773-023-00983-0

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