Journal ArticleDOI
Differential quadrature solutions for the nonconservative instability of a class of single-walled carbon nanotubes
Reads0
Chats0
TLDR
In this paper, the authors investigated the non-conservative instability of a single-walled carbon nanotube (SWCNT) with an added mass through non-local theories and used the Differential Quadrature (DQ) rules to discretize the governing equations.Abstract:
Purpose The aim of the present paper is to investigate the nonconservative instability of a single-walled carbon nanotube with an added mass through nonlocal theories. To discretize the governing equations is used the Differential Quadrature (DQ) rules, as introduced by Bellman and Casti. DQ rules have been largely used in engineering and applied sciences. Recently, they were applied to enhance some numerical schemes, such as step-by-step integration schemes and Picard-like numerical schemes. Design/methodology/approach In the present paper the Differential Quadrature (DQ) rules are employed in order to investigate the nonconservative instability of a single-walled carbon nanotube (SWCNT) through nonlocal theories. Findings In order to show the sensitivity of the SWCNT to the values of added mass and the influence of nonlocal parameter on the fundamental frequencies values, some numerical examples have been performed and discussed. Yet, the effect of the different boundary conditions on the instability be...read more
Citations
More filters
Journal ArticleDOI
Wavelet strategy for flow and heat transfer in CNT-water based fluid with asymmetric variable rectangular porous channel
Sapna Pandit,Seema Sharma +1 more
TL;DR: In this paper, the characteristics of physical model unsteady nanofluid flow and heat transfer in an asymmetric porous channel are analyzed numerically using wavelet collocation method.
Journal ArticleDOI
Nonlocal Vibration Analysis of a Nonuniform Carbon Nanotube with Elastic Constraints and an Attached Mass.
TL;DR: In this paper, the free vibration of a tapered beam modeling non-uniform single-walled carbon nanotubes was considered, and the differential quadrature method (DQM) was applied to compute the natural frequencies.
Journal ArticleDOI
Wavelet Operational Matrices and Lagrange Interpolation Differential Quadrature-Based Numerical Algorithms for Simulation of Nanofluid in Porous Channel
Aisha M. Alqahtani,Ram Jiwari +1 more
TL;DR: In this article , two numerical algorithms based on scale-2 Haar wavelets (S2HWs), Lagrange's interpolation differential quadrature technique (LIDQT), and quasilinearization process (QP) were proposed to analyze the features of nanofluid flow and thermal transmission (NFTT) in a rectangular channel which is asymmetric.
Journal ArticleDOI
Free vibrations of Timoshenko nanoscale beams based on a hybrid integral strain- and stress-driven nonlocal model
TL;DR: In this paper , a hybrid non-local model with two nonlocal parameters is proposed to consider both hardening and softening influences simultaneously, and the results indicate that the paradox related to the behavior of clamped-free nanobeams is resolved using the presented integral nonlocal formulation.
Journal ArticleDOI
Free Vibration of Single-Walled Carbon Nanotubes Using Nonlocal Truncated Timoshenko-Ehrenfest Beam Theory
TL;DR: In this paper , the free vibration behavior of single-walled carbon nanotubes (SWCNT) using the nonlocal truncated Timoshenko beam theory is studied, and the results demonstrate that the present formulation is highly efficient and capable of satisfactorily describing the behavior of nanobeams.
References
More filters
Journal ArticleDOI
Helical microtubules of graphitic carbon
TL;DR: Iijima et al. as mentioned in this paper reported the preparation of a new type of finite carbon structure consisting of needle-like tubes, which were produced using an arc-discharge evaporation method similar to that used for fullerene synthesis.
Journal ArticleDOI
On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves
TL;DR: In this article, the integropartial differential equations of the linear theory of nonlocal elasticity are reduced to singular partial differential equations for a special class of physically admissible kernels.
Journal ArticleDOI
Mechanical and thermal properties of carbon nanotubes
TL;DR: In this paper, the tensile and bending stiffness constants of ideal multi-walled and single-wall carbon nano-tubes are derived in terms of the known elastic properties of graphite.
Journal ArticleDOI
Reversible electromechanical characteristics of carbon nanotubes under local-probe manipulation
Thomas W. Tombler,Chongwu Zhou,Leo Alexseyev,Jing Kong,Hongjie Dai,Lei Liu,Chakram Jayanthi,Meijie Tang,S. Y. Wu +8 more
TL;DR: Experimental and theoretical elucidation of the electromechanical characteristics of individual single-walled carbonnanotubes (SWNTs) under local-probe manipulation are reported and it is revealed that the conductance of an SWNT sample can be reduced by two orders of magnitude when deformed by an AFM tip.
Journal ArticleDOI
Application of nonlocal continuum models to nanotechnology
TL;DR: In this paper, a nonlocal elasticity theory is employed to develop a non-local Benoulli/Euler beam model and some representative problems are solved to illustrate the magnitude of predicted nonlocal effects.