Asymptotic expansions for the coupled wavenumbers in an infinite orthotropic flexible fluid-filled cylindrical shell.

摘要: Analytical expressions are found for the coupled wavenumbers in flexible, fluid-filled, circular cylindrical orthotropic shells using asymptotic methods. These valid arbitrary circumferential orders. The Donnell-Mushtari shell theory is used to model and effect of fluid introduced through fluid-loading parameter mu. problem posed as a perturbation on corresponding isotropic by defining suitable orthotropy epsilon, which measure degree orthotropy. For first study, an considered (by setting epsilon = 0) expansions regular approach. In second limit small (epsilon << 1). each isotropy orthotropy, large values All solutions compared with numerical dispersion relation match seen be good. differences between discussed. main contribution this work lies extending existing literature beyond vacuo studies case fluid-filled (isotropic orthotropic).