Wave propagation of functionally graded porous nanobeams based on non-local strain gradient theory
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, 410082, Changsha, China
2 China Aviation Changsha Design and Research Co. Ltd, 410018, Changsha, China
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Accepted: 8 August 2018
Published online: 17 September 2018
In this paper, attention is paid to the prediction of wave propagation behaviors of functionally graded materials (FG) porous nanobeams based on Reddy’s higher-order shear deformation beam theory in conjunction with the non-local strain gradient theory. The governing equations of the porous nanobeams are derived with the help of the Hamilton principle. By solving an eigenvalue problem, the analytic dispersion relation is obtained. The results of Euler-Bernoulli beam and Timoshenko beam models are also presented. The influences of non-local parameter, strain gradient parameter, power law index and porosity volume fraction on the wave propagation are discussed in detail.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018