Abstract
The differential equation of pontoon vibration is derived as a prismatic beam on an elastic foundation, which simulates the buoyancy variation due to rigid body motion. The transient vibration caused by an impulse is solved analytically by applying the mode superposition method. Stability and accuracy of the results are analysed by checking the convergence of deflection, bending moment and shear force harmonic coefficients. Contribution of the higher modes to the total response is also considered. A criterion is given for a proper choice of necessary number of natural modes in the mode superposition method. Results of a numerical example are elaborated and analysed in detail, and the ship dynamic behaviour due to an impact load is made clearer.
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