The present paper covers the methodology of mathematical simulation of floating anchored structures behaviour under the external loads influence. The paper also describes the realization of the dynamic ice loads calculation method. The technique can be used in research or design works related to the development of the new floating objects for the Arctic conditions. The paper considers the mathematical models of the floating anchored structure behaviour under the influence of the level ice, the consolidated part and the keel of ridge. All listed models are combined into one algorithm for the description of floating structure behaviour under the influence of the ice formations. There are some results of comparative calculations which confirm the working capacity of the offered techniques presented in this paper. The paper also provides the results of some floating anchored structures modelling under the influence of the level ice and ridges. They confirm the importance of the dynamic effects in the task level in question as well as the necessity of using the offered mathematical modelling methods to adequately describe the anchored structures behaviour under the influence of ice.

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