A meshless approach for free transverse vibration of embedded single-walled nanotubes with arbitrary boundary conditions accounting for nonlocal effect
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A single-walled nanotube structure embedded in an elastic matrix is
simulated by the nonlocal Euler–Bernoulli, Timoshenko, and higher order
beams. The beams are assumed to be elastically supported and attached to
continuous lateral and rotational springs to take into account the
effects of the surrounding matrix. The discrete equations of motion
associated with free transverse vibration of each model are established
in the context of the nonlocal continuum mechanics of Eringen using
Hamilton's principle and an efficient meshless method. The effects of
slenderness ratio of the nanotube, small scale effect parameter, initial
axial force and the stiffness of the surrounding matrix on the natural
frequencies of various beam models are investigated for different
boundary conditions. The capabilities of the proposed nonlocal beam
models in capturing the natural frequencies of the nanotube are also
addressed.
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Keivan, K (2019). A meshless approach for free transverse vibration of embedded single-walled nanotubes with arbitrary boundary conditions accounting for nonlocal effect. Afribary.com: Retrieved July 24, 2019, from https://afribary.com/works/a-meshless-approach-for-free-transverse-vibration-of-embedded-single-walled-nanotubes-with-arbitrary-boundary-conditions-accounting-for-nonlocal-effect
Kiani, Keivan. "A meshless approach for free transverse vibration of embedded single-walled nanotubes with arbitrary boundary conditions accounting for nonlocal effect" Afribary.com. Afribary.com, 01 Jul. 2019, https://afribary.com/works/a-meshless-approach-for-free-transverse-vibration-of-embedded-single-walled-nanotubes-with-arbitrary-boundary-conditions-accounting-for-nonlocal-effect . Accessed 24 Jul. 2019.
Kiani, Keivan. "A meshless approach for free transverse vibration of embedded single-walled nanotubes with arbitrary boundary conditions accounting for nonlocal effect". Afribary.com, Afribary.com, 01 Jul. 2019. Web. 24 Jul. 2019. < https://afribary.com/works/a-meshless-approach-for-free-transverse-vibration-of-embedded-single-walled-nanotubes-with-arbitrary-boundary-conditions-accounting-for-nonlocal-effect >.
Kiani, Keivan. "A meshless approach for free transverse vibration of embedded single-walled nanotubes with arbitrary boundary conditions accounting for nonlocal effect" Afribary.com (2019). Accessed July 24, 2019. https://afribary.com/works/a-meshless-approach-for-free-transverse-vibration-of-embedded-single-walled-nanotubes-with-arbitrary-boundary-conditions-accounting-for-nonlocal-effect