Vibration of nanobeams of different boundary conditions with multiple cracks based on nonlocal elasticity theory

Roostai, Hossein; Haghpanahi, Mohammad

doi:10.1016/j.apm.2013.08.011

Cited by 56 publications

(28 citation statements)

References 25 publications

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“…where E M is the bending moment in the classical theory of elasticity (Roostai & Haghpanahi, 2016;Lellep & Lenbaum, 2018;Wang & Liew, 2007). It is well known that in the Euler-Bernoulli theory the bending moment is defined as…”

Section:  mentioning

confidence: 99%

Free vibration of rectangular nanoplate strips

Lellep

Hossain

2019

Modern Building Materials, Structures and Techniques (MBMST)

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Natural vibrations of nanobeams and nanosheets are investigated with the help of nonlocal theories of elasticity. The vibration analysis is based on the size-dependent non-local theory of elasticity developed by A. C. Eringen. It is assumed that the nano-structures under consideration have rectangular cross sections with piece wise constant dimensions and that the nanoplates are weakened with defects. The influence of the crack on the vibration of the nanoplate is assessed with the aid of additional local compliance developed in previous papers. Numerical results are presented for one- and two-stepped nanoplates.

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Section:  mentioning

confidence: 99%

Free vibration of rectangular nanoplate strips

Lellep

Hossain

2019

Modern Building Materials, Structures and Techniques (MBMST)

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“…They investigated the effects of surface tension and surface elasticity and ignored the effect of surface density. The study of multiple cracks with different boundary conditions based on nonlocal elasticity model was presented by Roostai et al (2014). They analyzed the effects of crack parameter, crack location and nonlocal parameter on the natural frequencies of the Euler-Bernoulli nanobeam via analytical solutions and multiple cracks.…”

Section: Introductionmentioning

confidence: 99%

Free transverse vibration analysis of size dependent Timoshenko FG cracked nanobeams resting on elastic medium

et al. 2016

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“…Using first-order shear deformation theory, they examined the influences of crack depth and location, rotary inertia, shear deformation and vibration modes. Roostai et al [39] studied multiple cracks with various boundary conditions exploiting nonlocal elasticity theory. They utilized analytical solutions to investigate the effects of crack severity, crack location and nonlocal parameter on the fundamental frequencies of the Euler-Bernoulli nanobeam.…”

Section: Introductionmentioning

confidence: 99%