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Static deformation of a heavy spring due to gravity and centrifugal force
KTH, School of Engineering Sciences (SCI), Mechanics, Theoretical and Applied Mechanics.
KTH, School of Engineering Sciences (SCI), Mechanics.
2010 (English)In: European journal of physics, ISSN 0143-0807, E-ISSN 1361-6404, Vol. 31, no 3, 603-609 p.Article in journal (Refereed) Published
Abstract [en]

The static equilibrium deformation of a heavy spring due to its own weight is calculated for two cases: first for a spring hanging in a constant gravitational field, and then for a spring which is at rest in a rotating system where it is stretched by the centrifugal force. Two different models are considered: first a discrete model assuming a finite number of point masses connected by springs of negligible weight, and then the continuum limit of this model. In the second case, the differential equation for the deformation is obtained by demanding that the potential energy is minimized. In this way a simple application of the variational calculus is obtained.

Place, publisher, year, edition, pages
2010. Vol. 31, no 3, 603-609 p.
Keyword [en]
Centrifugation, Differential equations, Gravitation, Phase equilibria, Variational techniques
National Category
Mechanical Engineering
URN: urn:nbn:se:kth:diva-28230DOI: 10.1088/0143-0807/31/3/017ISI: 000277150500017ScopusID: 2-s2.0-77951702631OAI: diva2:389445
QC 20110119Available from: 2011-01-19 Created: 2011-01-12 Last updated: 2011-01-19Bibliographically approved

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Essén, HannoNordmark, Arne
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