Abstract
A rational reduction method using modal analysis is developed in order to analyze accurately a large-scale, global nonlinear system. In the proposed method, the state variables of weakly-nonlinear nodes are transformed into the modal coordinates, and a small number of modal coordinates which have a significant effect on computation accuracy of the vibration analysis are extracted. On the other hands, the remaining modes which have little effect are appropriately approximated and then eliminated. A very accurate low-dimensional model is constructed by these procedures. The effectiveness of this method is verified by the computational results.
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