Wave propagation along longitudinally periodically supported or stiffened prismatic plate assemblies
✍ Scribed by F.W. Williams; H.J. Ouyang; D. Kennedy; C.B. York
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 423 KB
- Volume
- 186
- Category
- Article
- ISSN
- 0022-460X
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✦ Synopsis
A method is presented for computing propagation constants of longitudinal free wave propagation in a longitudinally prismatic plate assembly which is supported or transversely stiffened at longitudinally periodic intervals. The method combines a special complex Fourier series approach with the Wittrick-Williams algorithm, taking into account the supporting structures or transverse stiffeners by using Lagrangian multipliers. It enables Fourier series based methods and computer programs for natural frequency analysis to be readily used instead to investigate free wave propagation problems. It can be extended to handle other types of periodic structures. Three numerical examples of plate assemblies of different cross-sections are given and lead to some useful conclusions.