The full nonlinear crack detection problem in uniform vibrating rods Articles uri icon

publication date

  • November 2014

start page

  • 99

end page

  • 111


  • 339

International Standard Serial Number (ISSN)

  • 0022-460X

Electronic International Standard Serial Number (EISSN)

  • 1095-8568


  • The basic problem in structural diagnostics via dynamic methods consists in determining the position and severity of a single open crack in a beam from the knowledge of a pair of resonant or antiresonant frequencies. A well-established theory is available for longitudinally vibrating uniform beams when the severity of the crack is small. In this paper we fill the gap present in the literature by showing that the results of the linearized theory for slight damage can be extended to a crack with any level of severity. (C) 2014 Elsevier Ltd. All rights reserved.


  • beam structures; frequency measurements; natural frequencies; damage detection; identification