On the use of the domain decomposition method for vibration of symmetric laminates having discontinuities at the same edge

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Original languageEnglish
Pages (from-to)243-264
Journal / PublicationJournal of Sound and Vibration
Issue number2
Publication statusPublished - 1 Jan 1994
Externally publishedYes


A free vibration analysis of symmetrically laminated plates with mixed edge boundary conditions is presented. A highly efficient and accurate domain decomposition method is employed. To establish the model, the original domain is first assumed to be an assemblage of small subdomains, with the admissible functions of each subdomain represented by sets of orthogonal polynomials. These polynomials are generated by using the Gram-Schmidt procedure. The continuity matrices resulting from the geometric compatibilities between the subdomains are used to couple the eigenvectors of adjacent subdomains. The stiffness and mass matrices of each subdomain, after pre- and post-multiplying by the respective continuity matrices, are assembled to form the global stiffness and mass matrices. To demonstrate this method, the free vibrations of symmetrically laminated plates of various types of mixed edge boundaries are calculated.