Large deflection of thin plates in cylindrical bending - Non-unique solutions

Vivek A. Jairazbhoy, Pavel Petukhov, Jianmin Qu

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

Considered in this paper is the large deflection of a thin beam. One end of the beam is fixed (clamped) to a rigid wall, while the other end is placed on a flat surface of arbitrary orientation. It is shown that under certain conditions, the solution to the deflected shape of the plate is not unique. Conditions for the existence of multiple solutions are identified. Numerical methodologies are developed to obtain the multiple solutions. Experiments were conducted to verify the numerical predictions. Excellent agreements are found between the predicted deflection and the experimental measurements.

Original languageEnglish
Pages (from-to)3203-3218
Number of pages16
JournalInternational Journal of Solids and Structures
Volume45
Issue number11-12
DOIs
StatePublished - 15 Jun 2008

Keywords

  • Analytical solutions
  • Beam
  • Boundary value problem
  • Cylindrical bending
  • Large deflection
  • Non-unique solutions
  • Plate

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