We consider localized edge vibrations of isotropic cylindrical thin shells that are described by the Kirchhoff–Love theory. This problem is mathematically similar to the surface-wave problem but has so far not benefited from the elegant general theory developed for the latter. We first reformulate the governing equations into a Stroh/Hamiltonian form and then derive a matrix Riccati equation and an integral representation for the edge-impedance matrix, the use of which we wish to promote. We show how to use the Riccati equation and the integral presentation to compute the vibration frequency efficiently.
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