Journal article
A VISCOELASTIC TIMOSHENKO BEAM WITH DYNAMIC FRICTIONLESS IMPACT
Discrete and continuous dynamical systems. Series B, Vol.12(1), pp.1-22
07/01/2009
DOI: 10.3934/dcdsb.2009.12.1
Abstract
Two coupled partial differential equations which describe the motion of a viscoelastic (Kelvin-Voigt type) Timoshenko beam are formulated with the complementarity conditions. This dynamic impact problem is considered a boundary thin obstacle problem. The existence of solutions is proved. A major concern is to pursue an investigation into conservation of energy (or energy balance), which is performed both theoretically and numerically.
Details
- Title: Subtitle
- A VISCOELASTIC TIMOSHENKO BEAM WITH DYNAMIC FRICTIONLESS IMPACT
- Creators
- Jeongho Ahn - Arkansas State UniversityDavid E Stewart - Univ Iowa, Dept Math, Iowa City, IA 52242 USA
- Resource Type
- Journal article
- Publication Details
- Discrete and continuous dynamical systems. Series B, Vol.12(1), pp.1-22
- Publisher
- AMER INST MATHEMATICAL SCIENCES
- DOI
- 10.3934/dcdsb.2009.12.1
- ISSN
- 1531-3492
- eISSN
- 1553-524X
- Number of pages
- 22
- Language
- English
- Date published
- 07/01/2009
- Academic Unit
- Mathematics
- Record Identifier
- 9984241154502771
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