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  •   Open Research
  • AUT Faculties
  • Faculty of Design and Creative Technologies (Te Ara Auaha)
  • School of Engineering, Computer and Mathematical Sciences - Te Kura Mātai Pūhanga, Rorohiko, Pāngarau
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Solvability of a hybrid model for a vertical slender structure

Labuschagne, A; van Rensburg, NFJ; van der Merwe, AJ
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JNAIAM 2009.pdf (201.4Kb)
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http://hdl.handle.net/10292/3989
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Abstract
We consider the solvability of a hybrid model for the vibration of a vertical slender structure mounted on an elastic seating. The slender structure is modeled as a Rayleigh beam and gravity is taken into account. The seating and foundation block are modeled as rigid bodies connected by elastic springs with damping mechanisms. We show how an existence result for a general linear vibration problem in variational form may be applied to the weak variational problem for this system.
Keywords
Existence results; Beam vibration; Damping; Hybrid model
Date
2009
Source
Journal of Numerical Analysis, Industrial and Applied Mathematics, vol.4(3-4), pp.181 - 191
Item Type
Journal Article
Publisher
European Society of Computational Methods in Sciences and Engineering (ESCMSE)
Publisher's Version
http://www.jnaiam.org/index.php?/archives/69-Solvability-of-a-Hybrid-Model-for-a-Vertical-Slender-Structure.html
Rights Statement
Journal of Numerical Analysis, Industrial and Applied Mathematics is available free of charge as an Open Access journal on the Internet.

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