In the present study, we consider a submerged composite geometrical shape which contains two cylindrical plates in water of finite depth. The present problem of diffraction by these composite structures approach theoretically under the assumption of linear water wave theory. We use eigenfunction expansion method and separation of variable method to obtain an analytical expression of diffracted velocity potential for each region. The analytical expression also allows us to find the wave forces and overturning moment of the cylinders due to diffraction. Also, the theoretical results are present graphically for various parameters of the proposed geometrical structure. And we have seen significant effect on vertical force for different values of the radii of the cylindrical plate. More spike behaviour have been observed for horizontal force rather than vertical force and moment on the structure. Also, a graphical comparison have been done in between the present study and result given by Yao et al. (2015), which gives the accuracy of our results.
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Borah et al. (2024) studied this question.
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