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Microsystem Technologies

, Volume 25, Issue 2, pp 691–704 | Cite as

Random vibrations of functionally graded nanobeams based on unified nonlocal strain gradient theory

  • Sina Fallahzadeh RastehkenariEmail author
Technical Paper
  • 106 Downloads

Abstract

In present study the dynamic response of a functionally graded nanobeam supported by visco-elastic foundation to a stationary random excitation, based on non-local strain gradient theory has been investigated for the first time. The governing equations of motion are derived in framework of a unified beam theory (which includes different beam theories such as Euler–Bernoulli, Timoshenko and Reddy beam theories as special case), and Hamilton’s principle. The results of present study for some limit cases have been compared with results available in open literature and excellent agreement is observed. Effects of various parameters (i.e. non-local parameter, strain gradient length scale, power-low index of FGM model, different beam theories etc.) have been investigated comprehensively and illustrated graphically.

Notes

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© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Faculty of Mechanical EngineeringK. N. Toosi University of TechnologyTehranIran

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