LONGITUDINAL IMPACT OF A SEMI-INFINITE ELASTIC CYLINDRICAL SHELL

Abstract

The axially symmetric pressure signal produced by the longitudinal impact of a semi-infinite elastic cylindrical shell upon a rigid obstacle is determined by using membrane theory. In the equivalent problem for a solid cylindrical rod, a Laplace transform was used, and the major term of the solution was determined by an asymptotic approach. Proceeding along a similar plan in the case of the shell, it was possible to obtain not only the leading term of an asymptotic expansion for large values of the time, but also further terms. Consequences of the use of the membrane theory are discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1961
Accession Number
AD0255869

Entities

People

  • Harvey Martin Berkowitz

Organizations

  • Columbia University

Tags

DTIC Thesaurus Topics

  • Anatomy
  • Asymptotic Series
  • Biological Sciences
  • Mathematical Analysis
  • Mathematics
  • Membranes
  • Sequences
  • Sequences (Mathematics)

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.