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- W2085460069 abstract "The derivation of one-dimensional wave equations for axially symmetric waves in elastic rods is discussed. By series expansions in the radial coordinate a hierarchy of wave equations is derived. As the lowest reasonable approximation the usual simple wave equation for the rod is recovered. At the next level a fourth order wave equation is obtained. The dispersion relation and the displacements for these approximations and for Love's equation are compared with the lowest branch of the exact Pochhammer-Chree equation. An excitation problem with a shear force is also solved and compared among the theories." @default.
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- W2085460069 date "2000-04-01" @default.
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- W2085460069 title "On Wave Equations for Elastic Rods" @default.
- W2085460069 doi "https://doi.org/10.1002/(sici)1521-4001(200004)80:4<245::aid-zamm245>3.0.co;2-p" @default.
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