Abstract

The response of infinite and semi-infinite periodic structures to harmonic loads is investigated. The method developed requires the eigenvalues of the transfer matrix of a typical substructure. Consequently, the algorithm is capable of analyzing an infinite periodic structure with the same computational effort necessary to analyze a single substructure. Furthermore, the solution is given in terms of known boundary conditions and no eigenvectors of the transfer matrix are required. Several examples are included. Additional simplifications can be obtained when the substructure is symmetric.

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