The radiation potentials will be derived first. In order to account for the elastic deformation of the plate, the mode-expansion method is employed (see Newman 1994). As expressed by Eq. (3.3), the deflection of the plate w(x) is represented by a superposition of arbitrarily chosen modal functions flS(x) (l = 1, . . . , NS) and flA(x) (l = 1, . . . , NA) including both rigid body motions and elastic deformations with modal amplitudes ζlS and ζlA, respectively. Here, the suffixes S and A indicate the symmetry and anti-symmetry of the solution with respect to the yz plane, respectively. The total radiation potential φR(x, z) is then decomposed using the same modal amplitudes ζlS and ζlA and the corresponding unit-amplitude radiation potentials φlS(x, z)and φlA(x, z) are given by
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