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A mathematical model of a ribbon pontoon bridge subjected to moving loads was formulated using the theory of simply supported beams. Two types of moving load models were used, the first a moving-constant-force model and the second a moving-mass model. Using both types of loads, the dynamic behavior of a ribbon pontoon bridge was simulated while subjected to a single moving load and then multiple moving loads. Modeling was done with the Simulink package in MATLAB software. Results indicated that the model is correct. The two types of moving load models made little difference to the response ranges when loads moved on the bridge, but made some difference to the response phases. When loads left, the amplitude of the dynamic responses induced by the moving-constant-force model load were larger than those induced by the moving-mass model. There was a great deal more difference when there were more loads.