Derivation of the equations of motion and boundary conditions of a thin plate via the variational method

V. S. Pachas, A. D. Paredes, J. Beltran

Research output: Contribution to journalArticlepeer-review

Abstract

Small deflections in both a thin rectangular plate and a thin circular plate are studied via the variational method. In order to apply Hamilton’s principle to this system, the potential energy is expressed in terms of strain and stress tensors. Quantities such as the gradient displacement tensor and the traction vector are reviewed. It is showed the advantage of the variational method as a technique which allows to obtain the equations of motion and the boundary conditions simultaneously

Original languageEnglish
Article numbere20210387
JournalRevista Brasileira de Ensino de Fisica
Volume44
DOIs
StatePublished - 2022
Externally publishedYes

Keywords

  • Hamilton principle
  • Strain
  • Stress
  • Thin plate

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