Dynamic contact of two GAO beams

Simple item page
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.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.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.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

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
2012 shillor electronic journal of differential equations dynamic contact of two gao beams.pdf
Size:
3.73 MB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
3.41 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Mathematics and Statistics Faculty Scholarship