Journal article
An Euler-Bernoulli Beam with Dynamic Frictionless Contact: Penalty Approximation and Existence
Numerical functional analysis and optimization, Vol.28(9-10), pp.1003-1026
10/02/2007
DOI: 10.1080/01630560701587759
Abstract
In this work, we consider the dynamic frictionless Euler-Bernoulli equation with the Signorini contact conditions along the length of a thin beam. The existence of solutions is proved based on the penalty method. Employing energy functional with the penalty method, we bound integral of contact forces over space and time. Hölder continuity of the fundamental solution plays an important role in the convergence theory.
Details
- Title: Subtitle
- An Euler-Bernoulli Beam with Dynamic Frictionless Contact: Penalty Approximation and Existence
- Creators
- Jeongho Ahn - Purchase CollegeDavid E Stewart - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Numerical functional analysis and optimization, Vol.28(9-10), pp.1003-1026
- Publisher
- Taylor & Francis Group
- DOI
- 10.1080/01630560701587759
- ISSN
- 0163-0563
- eISSN
- 1532-2467
- Language
- English
- Date published
- 10/02/2007
- Academic Unit
- Mathematics
- Record Identifier
- 9984240863202771
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