Magneto-electro-viscoelastic torsional waves in aeolotropic tube under initial compression stress

Kakar, Rajneesh

doi:10.1590/s1679-78252014000400002

Cited by 3 publications

(1 citation statement)

References 9 publications

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“…Among these components, tube is one of the most important and frequently used structural components in many industries. Fig.1 shows some potential fields for functionally graded materials as well as tubes application (Hosseini et al, 2017;Jha et al, 2013;Zhang et al, 2014;Kiani and Eslami, 2013;Kakar, 2013;Djamaluddin et al 2015;Huang et al 2016;Adeli et al 2017;Hadi et al 2018;Shishesaz et al 2017). For efficient use of such components, it is necessary to study its mechanical behaviors like vibration, buckling and bending.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of nano-tubes consisted of functionally graded bi-semi-tubes by a two-steps perturbation method

Gao

Xiao

Zhu

2019

Lat. Am. j. solids struct.

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Free vibration of a bimaterial circular nano-tube is investigated. The tube is formed by bonding together a Si3N4/SUS304 functionally graded upper semi tube and a ZrO2/Ti-6Al-4V functionally graded lower semi tube. The material properties of the tube are assumed to vary along the radius according to power law with the power index of upper semi tube differing from that of lower semi tube. Based on non-local elasticity theory and Hamilton's principle, a refined beam model considering the effect of transverse shear deformation is used to derive the governing equations, then analytical solution is obtained by using a two-steps perturbation method. Our results were compared with the existing ones. The effects on tube's linear and non-linear frequency are analyzed of the factors, including small scale parameter, temperature, the double volume fraction indexes, slenderness ratio and different types of beam model. A new approach is suggested in this article to change the natural frequency of the tubes by adjusting constituent materials. In contrast to conventional approach, the new one can result in more accurate frequency control in the same dimensionless size of tubes.

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