On the electro-thermo-mechanical vibration characteristics of elastically restrained functionally graded nanobeams using differential transformation method

Ebrahimi-Nejad, Salman; Marzbanrad, Javad; Boreiry, Mahya; Shaghaghi, Gholam Reza

doi:10.1007/s00339-018-2220-2

Cited by 4 publications

(1 citation statement)

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“…A notable amount of effort has been made in recent years in order to analyze the influences of initial stresses on the mechanical response of small-scale structures using elasticity models [8]. Since the mechanical response is highly scale-dependent at ultrasmall levels [9][10][11][12][13][14][15][16][17], modified elasticity theories incorporating size effects are often used for small-scale structures [18][19][20][21][22][23][24]. Wang and Cai [25] investigated the influences of initial stresses on the vibrational characteristics of multi-walled carbon nanotubes (CNTs) via a elasticity model.…”

Section: Introductionmentioning

confidence: 99%

Wave Dispersion in Multilayered Reinforced Nonlocal Plates under Nonlinearly Varying Initial Stress

Farajpour

Shahidi

Farajpour

2020

Eng

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This paper deals with the effects of initial stress on wave propagations in small-scale plates with shape memory alloy (SMA) nanoscale wires. The initial stress is exerted on the small-scale plate along both in-plane directions. A scale-dependent model of plates is developed for taking into consideration size influences on the wave propagation. In addition, in order to take into account the effects of SMA nanoscale wires, the one-dimensional Brinson’s model is applied. A set of coupled differential equations is obtained for the non-uniformly prestressed small-scale plate with SMA nanoscale wires. An exact solution is obtained for the phase and group velocities of the prestressed small-scale system. The influences of non-uniformly distributed initial stresses as well as scale and SMA effects on the phase and group velocities are explored and discussed. It is found that initial stresses as well as the orientation and volume fraction of SMA nanoscale wires can be used as a controlling factor for the wave propagation characteristics of small-scale plates.

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