Abstract
A combined finite element-transfer matrix (FETM) method is developed to study the dynamics of orthogonally stiffened structures. Finite element procedures are used in FETM to formulate transfer matrices for structural components which are not one-dimensional. The resulting transfer matrices are used to reduce the large number of unknowns occurring in a standard finite element analysis by obtaining transfer matrix relationships over large units of the structure. A reduction in computer storage and computation time is obtained since the dimension of the final matrix equation to be solved is considerably reduced. The accuracy of the FETM results are verified by comparison with an exact solution to the limiting modes and frequencies of a periodically stiffened structure of infinite length. A reduction of computer time was demonstrated for the FETM by a comparison with the SAP-4 finite element program. The efficiency of the FETM method was further demonstrated by computing the frequency response of a two row-five span orthogonally stiffened plate structure using ordinary transfer matrix procedures.
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