The rounded triangular cross section – Exact solutions for torsion, flow and heat transfer

Wang, C.Y.

doi:10.1002/zamm.201000003

Cited by 4 publications

(1 citation statement)

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“…The effect of the depth of the crack was examined, and the accuracy of the theoretical approaches compared with results was obtained experimentally. Wang [51] obtained the torsional and geometrical properties and the flow rates and Nusselt numbers of a bar with an equilateral triangular cross section. Stephen and Zhang [52] achieved the torsional frequencies for two structures subjected to the tension-torsion coupling; the structures included an asymmetric ten-cell with an equilateral triangular cross-section and a more symmetric pretwisted six-cell cross section.…”

Section: Torsion Of Bodies With Noncircular Cross Sectionmentioning

confidence: 99%

Analytical investigation on free torsional vibrations of noncircular nanorods

Khosravi

Hosseini

Hamidi

2020

J Braz. Soc. Mech. Sci. Eng.

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This paper is devoted to the free torsional behavior of the nanorods containing noncircular cross sections. The rectangular cross section is chosen to be the case of the study. Three various boundary conditions, namely the clamped-clamped (C-C), clamped-free (C-F), and clamped-torsional spring (C-T) boundary conditions, are used to model the nanorod. Hamilton's principle is utilized to derive the equation of motion along with associated boundary conditions. The derived equation is reformulated by Eringen's nonlocal elasticity approach to exhibit the small-scale effect. An analytical method is established to discretize and analyze the equation of motion. The novelty of this work is the analysis of the torsional vibration in rectangular nanorods, which are not observed in previous works. For the results, the influences of the horizontal and vertical aspect ratios ( a∕b and b∕a ) (for C-C and C-F boundary conditions) and the influences of the nonlocal parameter and stiffness of the boundary spring (for C-T boundary condition) are illustrated schematically and tabularly.

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Section: Torsion Of Bodies With Noncircular Cross Sectionmentioning

confidence: 99%