Membrane and flexural waves on thin shells

A. N. Norris, D. A. Rebinsky

Research output: Contribution to journalArticlepeer-review

39 Scopus citations


Membrane and flexural waves are limiting short wavelength solutions of the equations of motion for arbitrarily curved, smooth shells. Each distinct wave type is found using a geometrical or ray method based upon asymptotics in the small parameters h/R, where h is thickness and R a minimum radius of curvature. Useful, asymptotic formulae are found for the normal displacement associated with membrane waves, group velocities, and other physically significant quantities. Ray paths on a conical shell are illustrated for each wave type, and it is found that flexural rays form a caustic near the vertex.

Original languageEnglish (US)
Pages (from-to)457-467
Number of pages11
JournalJournal of Vibration and Acoustics, Transactions of the ASME
Issue number4
StatePublished - Oct 1994

All Science Journal Classification (ASJC) codes

  • Acoustics and Ultrasonics
  • Mechanics of Materials
  • Mechanical Engineering


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