Analysis of a nonlinear beam in contact with a foundation

The paper investigates the contact between a nonlinear dynamic Gao beam and a rigid or reactive foundation. The contact is modeled with the normal compliance condition for the deformable foundation and with the Signorini condition for the rigid foundation. The existence and uniqueness of the weak so...

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Bibliographic Details
Published inZeitschrift für angewandte Mathematik und Physik Vol. 65; no. 4; pp. 783 - 796
Main Author Mbengue, Mbagne F.
Format Journal Article
LanguageEnglish
Published Basel Springer Basel 01.08.2014
Subjects
Engineering
Mathematical Methods in Physics
Theoretical and Applied Mechanics
Dynamic contact
Normal compliance
49J40
74H20
Signorini condition
35Q74
74M15
Rigid foundation
35L86
Nonlinear Gao beam
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ISSN0044-2275
1420-9039
DOI10.1007/s00033-013-0348-7

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Summary:The paper investigates the contact between a nonlinear dynamic Gao beam and a rigid or reactive foundation. The contact is modeled with the normal compliance condition for the deformable foundation and with the Signorini condition for the rigid foundation. The existence and uniqueness of the weak solution for the problem with normal compliance are obtained. The solution of the Signorini condition for the rigid foundation is obtained by passing to the limit when the normal compliance approaches infinity.
ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-013-0348-7