Abstract
The transverse vibration of stiffened plates with elastic support boundary conditions is studied in this paper. First, strain energy and kinetic equations of the deck, girders and ribs are respectively established. Second, governing equations for the structure are obtained according to the theorem of conservation of energy and solved using Ritz method. According to the relationship between the motherboard and the main girder deformation coordination, the displacement function of the deck can be got based on the displacement function of the main girder. At last, finite element model is built to check the accuracy of theoretical analysis. It can found that the theoretical solution and the finite element solution have the same variation trend, and the error between the two methods is small. Theoretical analysis method is reliable, and it has certain significance for further research and engineering design.
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