Vibration and stability of cracked rectangular plates

B. Stahl*, L. M. Keer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

162 Scopus citations


The present paper deals with eigenvalue problems of cracked rectangular plates. Vibration and buckling problems are solved for a plate with a crack emanating from one edge and for a plate with a centrally located internal crack. The problems are formulated as dual series equations and reduced to homogeneous Fredholm integral equations of the second kind. The singularity of the solution in each case is isolated and treated analytically. Numerical results for the natural frequencies and moment distributions are compared with the work of other investigators. Vibration and buckling mode shapes are also illustrated for a cracked plate.

Original languageEnglish (US)
Pages (from-to)69-91
Number of pages23
JournalInternational Journal of Solids and Structures
Issue number1
StatePublished - Jan 1972

ASJC Scopus subject areas

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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