Longitudinal vibrations of a double-rod system coupled by springs and dampers

Erol, Haluk; Gürgöze, M.

doi:10.1016/j.jsv.2003.10.043

Cited by 21 publications

(10 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It was assumed that these two nanorods are mechanically coupled through the continuously distributed axial springs between the interfaces. Then, the nonlocal viscoelastic doublenanorod system with Clamped-Clamped (C-C) and Clamped-Free (C-F) boundary conditions is investigated by Karličić et al [24] and the results are also compared with those calculated from the local double-rod model in the paper of Erol and Gürgöze [25].…”

Section: Introductionmentioning

confidence: 99%

Longitudinal Vibration Analysis of Elastically Coupled Nanorods System with General Boundary Supports

Xu¹,

Du²,

Zhao³

2019

Sound&Vibration

View full text Add to dashboard Cite

In this paper, an accurate series solution for the longitudinal vibration analysis of elastically coupled nanorods system is established, in which artificial springs are introduced to simulate such general coupling and boundary conditions. Energy formulation is derived for the description of axial dynamics of multiple coupled nanorods based on Eringen nonlocal elasticity. For each nanorod component, its longitudinal vibration displacement function is invariantly assumed as the superposition of Fourier series and boundary smoothed supplementary polynomials, with the aim to make all the spatial differential sufficiently continuous across each rod. All the unknown coefficients are determined in conjunction with Rayleigh-Ritz procedure to solve a standard eigenvalue matrix. Numerical results are presented for the particular cases of twonanorod and three-nanorod systems to demonstrate the correctness and effectiveness of the proposed model. Excellent agreements can be repeatedly observed in comparison with those from other approaches available in literature. Based on the model established, influence of elastic boundary and coupling conditions on the longitudinal modal characteristics of multiple nanorods system is investigated and addressed. This work can provide an efficient energy-based modeling framework for longitudinal vibration analysis of elastically connected nanorod system with complicated boundary conditions.

show abstract

Section: Introductionmentioning

confidence: 99%

Longitudinal Vibration Analysis of Elastically Coupled Nanorods System with General Boundary Supports

Xu¹,

Du²,

Zhao³

2019

Sound&Vibration

View full text Add to dashboard Cite

show abstract

“…Arani et al [40] investigated the vibration of double viscoelastic CNTs conveying viscous fluid coupled by visco-Pasternak medium using the surface nonlocal theory. Karličić et al [41] studied free longitudinal vibration of a nonlocal viscoelastic double-nanorod system as a complementary study at nano scale to Erol and Gürgöze's paper [42].…”

Section: Introductionmentioning

confidence: 99%

Longitudinal Vibration of CNTs Viscously Damped in Span

Arda

Aydoğdu

2017

International Journal of Engineering &Amp; Applied Sciences

View full text Add to dashboard Cite

show abstract

“…In contrast, relatively little work has been undertaken on the class of structures considered below. Perhaps most interest has been directed towards double string systems, which have generated a number of papers [4][5][6][7], as have problems associated with the longitudinal motion of spring linked bars [8][9][10][11]. In contrast, the torsional vibration problem has seen less activity [12][13] and there is little evidence of any related work on the motion of beams vibrating in shear.…”

Section: Introductionmentioning

confidence: 99%

Exact eigensolution of a class of multi-level elastically connected members

Howson

Watson

2017

Engineering Structures

View full text Add to dashboard Cite

Attention is given to determining the exact natural frequencies and modes of vibration of a class of structures comprising any number of related parallel members that are connected to each other, and possibly also to foundations, by uniformly distributed elastic interfaces of unequal stiffness. The members themselves are considered to have a uniform distribution of mass and stiffness and account can be taken of additional point masses and spring supports. The formulation is general and applies to any structure in which the motion of the component members is governed by a second order Sturm-Liouville equation. Closed form solution of the governing differential equations leads either, to a series of exact substitute systems that are easy to solve through a stiffness approach and which together yield the complete spectrum of natural frequencies and corresponding mode shapes of the original structure, or to simple exact relationships between the natural frequencies corresponding to coupled and uncoupled motion that enable hand solution of the more standard problems to be achieved. An appropriate form of the Wittrick-Williams algorithm is presented for converging on the required natural frequencies to any desired accuracy with the certain knowledge that none have been missed. Examples are given to confirm the accuracy of the approach and to indicate its range of application.

show abstract

Longitudinal vibrations of a double-rod system coupled by springs and dampers

Cited by 21 publications

References 3 publications

Longitudinal Vibration Analysis of Elastically Coupled Nanorods System with General Boundary Supports

Longitudinal Vibration Analysis of Elastically Coupled Nanorods System with General Boundary Supports

Longitudinal Vibration of CNTs Viscously Damped in Span

Exact eigensolution of a class of multi-level elastically connected members

Contact Info

Product

Resources

About