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The Euler-Bernoulli beam on a tensionless Winkler foundation: a simple problem of receding contact

The Euler-Bernoulli beam on a tensionless Winkler foundation: a simple problem of receding contact
The Euler-Bernoulli beam on a tensionless Winkler foundation: a simple problem of receding contact
A steel ruler supported by a flexible foam foundation, modelled as an Euler-Bernoulli beam on a Winkler foundation, exhibits receding contact when subjected to a point load. The system is analysed using simple beam theory and Laplace transformation – both of which are typically covered in the first two years of a UK Mechanical Engineering undergraduate programme. The design of a simple experiment is described.
Receding contact; Euler-Bernoulli beam; Winkler foundation; Laplace transformation
0306-4190
1-9
Stephen, Neil
af39d0e9-b190-421d-86fe-28b793d5bca3
Ch'ng, Sy
51e889bb-20e3-4b07-9535-8dcfb1f30a41
Stephen, Neil
af39d0e9-b190-421d-86fe-28b793d5bca3
Ch'ng, Sy
51e889bb-20e3-4b07-9535-8dcfb1f30a41

Stephen, Neil and Ch'ng, Sy (2018) The Euler-Bernoulli beam on a tensionless Winkler foundation: a simple problem of receding contact. International Journal of Mechanical Engineering, 1-9. (doi:10.1177/0306419018770994).

Record type: Article

Abstract

A steel ruler supported by a flexible foam foundation, modelled as an Euler-Bernoulli beam on a Winkler foundation, exhibits receding contact when subjected to a point load. The system is analysed using simple beam theory and Laplace transformation – both of which are typically covered in the first two years of a UK Mechanical Engineering undergraduate programme. The design of a simple experiment is described.

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Euler beam_receding contact - Accepted Manuscript
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Accepted/In Press date: 22 March 2018
e-pub ahead of print date: 12 May 2018
Keywords: Receding contact; Euler-Bernoulli beam; Winkler foundation; Laplace transformation

Identifiers

Local EPrints ID: 419142
URI: http://eprints.soton.ac.uk/id/eprint/419142
DOI: doi:10.1177/0306419018770994
ISSN: 0306-4190
PURE UUID: c93b9a7e-bffa-48b7-879a-82fb00184baa

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Date deposited: 06 Apr 2018 16:30
Last modified: 15 Mar 2024 19:13

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Contributors

Author: Neil Stephen
Author: Sy Ch'ng

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