Abstract
A matrix approach is proposed to investigate waves in circular cylindrical thin shells jointed with circular plates. Both the general propagator matrix and S-matrix formalisms are presented, with emphasis on the latter. The loss of computational accuracy due to the inevitable exponentially growing terms in a propagator matrix is completely avoided by using the S-matrix. This paper demonstrates implementation of S-matrix methods for analyzing waves in complex shell structures with axial symmetry. The basic elements are laid out in detail, including the S-matrix for cylindrical shells, the propagator matrix and the asymptotic S-matrix for plates, and both the propagator matrix and the S-matrix for junctions of cylindrical thin shells with internal and/or external circular plates and for multi-channel elements. The general approach is demonstrated for several examples of cylindrical shells with periodic stiffeners and sub-elements. Dispersion curves are computed and compared with previous results.
Published Version
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