Accession Number:

ADA046636

Title:

Vibrational Characteristics of Cracked Cantilever Plates.

Descriptive Note:

Final technical rept. Sep 76-Jun 77,

Corporate Author:

AERONAUTICAL SYSTEMS DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s):

Report Date:

1977-10-01

Pagination or Media Count:

50.0

Abstract:

An analytical solution to the vibrational characteristics of a rectangular cantilever plate with a discontinuous boundary condition crack at the root is presented. Mechanical damping which may exist as a result of the contact between the cracks free surfaces during vibration has been eliminated by assuming the crack surface to be a free boundary. The approach to solution involves the use of the method of Ritz applied to Hamiltons Law of Varying Action. A comparison is made to the solution as obtained from conventional finite element theory NASTRAN. No exact solution is available for comparison. The assumptions which underlie both theories are outlined. A comparison is made to the experimental results for a cantilever plate with a narrow slot of varying lengths at the root. Indications are that significant frequency deterioration and nodal pattern variations occur with increasing crack length. Further work on the effect of cracksflaws on plate response is warranted.

Subject Categories:

  • Theoretical Mathematics
  • Mechanics
  • Jet and Gas Turbine Engines

Distribution Statement:

APPROVED FOR PUBLIC RELEASE