Bending Analysis of A Cantilever Nanobeam With End Forces By Laplace Transform

Year 2017, Volume: 9 Issue: 2, 103 - 111, 08.06.2017

Mustafa Özgür Yaylı , Süheyla Yerel Kandemir

https://doi.org/10.24107/ijeas.314635

Cited By: 4

Abstract

In this study, the static behavior of nanobeams subjected to end concentrated
loads is theoretically investigated in the Laplace domain. A closed form of
solution for the title problem is presented using Euler-Bernoulli beam theory.  Nonlocal elasticity theory proposed by Eringen
is used to represent small scale effect. A systems of differential
equations containing a small scale parameter is derived for nanobeams. Laplace
transformation is applied to this systems of differential
equations containing a small scale parameter. The exact static response of
the nanobeam with end concentrated loads is obtained by applying inverse
Laplace transform. The calculate results are plotted in a series of figures for
various combinations of concentrated loads.

Keywords

Nonlocal elasticity theory, nanobeam, Laplace transform

References

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