- International Journal of Engineering and Applied Sciences
- Vol: 9 Issue: 2 Special Issue
- Bending Analysis of A Cantilever Nanobeam With End Forces By Laplace Transform
Bending Analysis of A Cantilever Nanobeam With End Forces By Laplace Transform
Authors : Mustafa Özgür Yaylı, Süheyla Yerel Kandemir
Pages : 103-111
Doi:10.24107/ijeas.314635
View : 10 | Download : 6
Publication Date : 2017-04-19
Article Type : Research
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