This study explores the deflection behavior of a circular floating elastic plate under the action of a transient force, taking into account the presence of multiple porous barriers in time-domain. These barriers are positioned both along the point of forcing, inner barrier, and along the plate’s edge, outer barrier. Exploiting the plate’s radial symmetry, the eigenfunction matching method is employed to obtain solutions in the frequency domain, while the Fourier transform is used to analyze the time-domain response under Gaussian forcing. The study examines the deflection characteristics across various barrier configurations, considering the number, spacing, placement of barriers, and the location of the applied force. Results indicate that the deflection is most pronounced when both porous barriers are present, in comparison to scenarios with a single barrier or no barrier. Furthermore, in double-barrier configurations, deflection is amplified when the porous parameter of the outer barrier is smaller than that of the inner barrier. Numerical findings are validated through comparison with existing literature, supporting the accuracy and significance of the results.