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dc.contributor.authorAhn, Jeongho
dc.contributor.authorKuttler, Kenneth
dc.contributor.authorShillor, Meir
dc.date.accessioned2016-03-30T17:04:43Z
dc.date.available2016-03-30T17:04:43Z
dc.date.issued2012-11
dc.identifier.citationAhn J., Kuttler K.L., and Shillor M. (2012). Dynamic contact of two GAO beams. Electronic Journal of Differential Equations, 2012(194), 1-42.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttp://hdl.handle.net/10323/4222
dc.description.abstractThe dynamic contact of two nonlinear Gao beams that are connected with a joint is modeled, analyzed, and numerically simulated. Contact is modeled with either (i) the normal compliance condition, or (ii) the unilateral Signorini condition. The model is in the form of a variational equality in case (i) and a variational inequality in case (ii). The existence of the unique variational solution is established for the problem with normal compliance and the existence of a weak solution is proved in case (ii). The solution in the second case is obtained as a limit of the solutions of the first case when the normal compliance stiffness tends to infinity. A numerical algorithm for the problem is constructed using finite elements and a mixed time discretization. Simulation results, based on the implementation of the algorithm, of the two cases when the horizontal traction vanishes or when it is sufficiently large to cause buckling, are presented. The spectrum of the vibrations, using the FFT, shows a rather noisy system.en_US
dc.language.isoen_USen_US
dc.subjectDynamic contacten_US
dc.subjectGao beamen_US
dc.subjectMechanical jointen_US
dc.subjectNormal complianceen_US
dc.subjectSignorini conditionen_US
dc.subjectWeak solutionsen_US
dc.subjectNumerical schemeen_US
dc.titleDynamic contact of two GAO beamsen_US
dc.typeArticleen_US


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