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Haar wavelet method for vibration analysis of nanobeams

100%

Kirs M. , Mikola M. , Haavajõe A. , Õunapuu E. , Shvartsman B. , Majak J.

Waves, Wavelets and Fractals

2016

tom 2

nr 1

In the current study the Haar wavelet method is adopted for free vibration analysis of nanobeams. The size-dependent behavior of the nanobeams, occurring in nanostructures, is described by Eringen nonlocal elasticity model. The accuracy of the solution is explored. The obtained results are compared with ones computed by finite difference method. The numerical convergence rates determined are found to be in agreement with corresponding convergence theorems.

Static and sensitivity analysis of nonlocal nanobeams subject to load and material uncertainties by convex modeling

88%

Radebe I. S. , Adali S.

Journal of Theoretical and Applied Mechanics

2015

tom Vol. 53 nr 2

345--356

At the nano-scale, loads acting on a nanobeam and its material properties are likely to be not known precisely, i.e., uncertain. In the present paper, the deflection of a nanobeam subject to load and material uncertainties is studied by convex modeling of the uncertainties. The level of uncertainty is taken to be bounded and the maximum deflection corresponding to the worst-case of loading or material properties is obtained, that is, the uncertainties are determined so as to maximize the deflection. The sensitivity of the deflection to the uncertainty in the material properties is also investigated. Numerical results are given relating the level of uncertainty to maximum deflection.