Longitudinal impact of cylindrical shells with discontinuous cross-sectional area

R. W. Mortimer, Joseph Lawrence Rose, A. Blum

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The reflections and transmissions of longitudinal strain pulses in cylindrical shells having cross-sectional area discontinuities are studied both analytically and experimentally. Three different theories were used to analyze this problem: the first, termed “bending” theory, includes the transverse shear, radial inertia, and rotary inertia effects; the second is based on a modified “membrane” theory; the last is derived from the “uniaxial” theory. Solutions were obtained by solving each of the three systems of governing equations by the method of characteristics. The longitudinal and circumferential incident, reflected, and transmitted strain pulses calculated from the bending and membrane theories are shown to be in good agreement with the experimental results, whereas the uniaxial comparisons are poor. In addition, the calciduted reflected and transmitted stress ratios are in good agreement with the experimental results; the ratios obtained from the uniaxial theory are shown to be generally inadequate.

Original languageEnglish (US)
Pages (from-to)1005-1010
Number of pages6
JournalJournal of Applied Mechanics, Transactions ASME
Volume39
Issue number4
DOIs
StatePublished - Jan 1 1972

Fingerprint

bending theory
cylindrical shells
structural analysis
inertia
stress ratio
Membranes
method of characteristics
pulses
discontinuity
shear

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Mortimer, R. W. ; Rose, Joseph Lawrence ; Blum, A. / Longitudinal impact of cylindrical shells with discontinuous cross-sectional area. In: Journal of Applied Mechanics, Transactions ASME. 1972 ; Vol. 39, No. 4. pp. 1005-1010.
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Longitudinal impact of cylindrical shells with discontinuous cross-sectional area. / Mortimer, R. W.; Rose, Joseph Lawrence; Blum, A.

In: Journal of Applied Mechanics, Transactions ASME, Vol. 39, No. 4, 01.01.1972, p. 1005-1010.

Research output: Contribution to journalArticle

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