Asymptotic analysis of the clamped-pinned elastica

Journal article


Singh, P. and Goss, VGA (2018). Asymptotic analysis of the clamped-pinned elastica. Archives of Mechanics. 70 (4), pp. 1-20.
AuthorsSingh, P. and Goss, VGA
Abstract

Asymptotic solutions for the clamped-pinned elastica when the displacement of the pinned end is small (immediately after buckling) and when it approaches its limiting displacement (when the force in the rod tends to infinity) are presented. Simple leading order relationships describing the force as a function of the pinned end’s displacement are derived. Those approximate the force-displacement behaviour of the clamped-pinned elastica for small and limiting end displacements. All our results are valid for the clamped-pinned elastica in any mode.

Keywordselastica, .; clamped-pinned; asymptotic,.; force-displacement; post-buckling.; 0203 Classical Physics; 0913 Mechanical Engineering; Mechanical Engineering & Transports
Year2018
JournalArchives of Mechanics
Journal citation70 (4), pp. 1-20
PublisherPolish Scientific Publishers Pwn
ISSN0373-2029
Publication dates
Print04 Sep 2018
Publication process dates
Deposited15 Aug 2018
Accepted04 Aug 2018
Publisher's version
License
CC BY 4.0
File Access Level
Open
Permalink -

https://openresearch.lsbu.ac.uk/item/8698v

  • 10
    total views
  • 5
    total downloads
  • 2
    views this month
  • 1
    downloads this month

Related outputs

The Euler Spiral of Rat Whiskers
Starostin, E., Grant, R.A., Dougill, G., van der Heijden, G.H.M. and Goss, G. (2020). The Euler Spiral of Rat Whiskers. Science Advances. 6 (3).
Reach of an Inclined Cantilever with a Tip Load
Singh, P. and Goss, V.G.A. (2019). Reach of an Inclined Cantilever with a Tip Load. Archives of Mechanics. 71 (6), pp. 595-614.
The Clamped-Free Rod Under Inclined End Forces and Transitions Between Equilibrium Configurations
Singh, P. and Goss, V.G.A. (2019). The Clamped-Free Rod Under Inclined End Forces and Transitions Between Equilibrium Configurations. Journal of Engineering Mathematics. 117 (1), pp. 65-78.
Critical Points of the Clamped-Pinned Elastica
Singh, P and Goss, VGA (2018). Critical Points of the Clamped-Pinned Elastica. Acta Mechanica.
Large Llamas with Silver Shoes
Goss, VGA (2017). Large Llamas with Silver Shoes. Society & Animals. 25 (2), pp. 144-162.
Loading paths for an elastic rod in contact with a flat inclined surface
Goss, VGA (2016). Loading paths for an elastic rod in contact with a flat inclined surface. International Journal of Solids and Structures. 88-89, pp. 274-282.