FREE BOUNDARY PROBLEM AND STABILITY FOR THE NONLINEAR BEAM.

E. Miersemann, Hans Mittelmann

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

The stability bound for the classical nonlinear Euler Beam is determined in the case that its deflection is limited by an obstacle parallel to the plane of the beam. Let a clamped or simply supported beam be axially compressed by a force P greater than P//0, where P//0 denotes the critical load. So far only a linear theory has been applied to analyze the stability of the solutions in contact with the obstacle and the jumping to a different state. Utilizing a free boundary problem formulation we analytically as well as numerically answer these questions for the nonlinear beam.

Original languageEnglish (US)
Pages (from-to)516-532
Number of pages17
JournalMathematical Methods in the Applied Sciences
Volume8
Issue number4
StatePublished - 1986

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Free Boundary Problem
Contacts (fluid mechanics)
Critical Load
Deflection
Euler
Contact
Denote
Formulation

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

FREE BOUNDARY PROBLEM AND STABILITY FOR THE NONLINEAR BEAM. / Miersemann, E.; Mittelmann, Hans.

In: Mathematical Methods in the Applied Sciences, Vol. 8, No. 4, 1986, p. 516-532.

Research output: Contribution to journalArticle

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