Dynamic frictionless contact of a nonlinear beam with two stops

Jeongho Ahn, Eun-Jae Park

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this work, we consider mathematical and numerical approaches to a dynamic contact problem with a highly nonlinear beam, the so-called Gao beam. Its left end is rigidly attached to a supporting device, whereas the other end is constrained to move between two perfectly rigid stops. Thus, the Signorini contact conditions are imposed to its right end and are interpreted as a pair of complementarity conditions. We formulate a time discretization based on a truncated variational formulation. We prove the convergence of numerical trajectories and also derive a new form of energy balance. A fully discrete numerical scheme is implemented to present numerical results.

Original languageEnglish
Pages (from-to)1355-1379
Number of pages25
JournalApplicable Analysis
Volume94
Issue number7
DOIs
Publication statusPublished - 2015 Jan 1

Fingerprint

Frictionless Contact
Dynamic Contact
Energy balance
Trajectories
Energy Balance
Complementarity
Time Discretization
Variational Formulation
Dynamic Problem
Contact Problem
Numerical Scheme
Contact
Trajectory
Numerical Results
Form

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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Dynamic frictionless contact of a nonlinear beam with two stops. / Ahn, Jeongho; Park, Eun-Jae.

In: Applicable Analysis, Vol. 94, No. 7, 01.01.2015, p. 1355-1379.

Research output: Contribution to journalArticle

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