TITLE

Free vibration of microscaled Timoshenko beams

AUTHOR(S)
Abbasion, Saeed; Rafsanjani, Ahmad; Avazmohammadi, Reza; Farshidianfar, Anoushiravan
PUB. DATE
October 2009
SOURCE
Applied Physics Letters;10/5/2009, Vol. 95 Issue 14, p143122
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
In this paper, a comprehensive model is presented to investigate the influence of surface elasticity and residual surface tension on the natural frequency of flexural vibrations of microbeams in the presence of rotary inertia and shear deformation effects. An explicit solution is derived for the natural oscillations of microscaled Timoshenko beams considering surface effects. The analytical results are illustrated with numerical examples in which two types of microbeams are configured based on Euler–Bernoulli and Timoshenko beam theory considering surface elasticity and residual surface tension. The natural frequencies of vibration are calculated for selected beam length on the order of nanometer to microns and the results are compared with those corresponding to the classical beam models, emphasizing the differences occurring when the surface effects are significant. It is found that the nondimensional natural frequency of the vibration of micro and nanoscaled beams is size dependent and for limiting case in which the beam length increases, the results tends to the results obtained by classical beam models. This study might be helpful for the design of high-precision measurement devices such as chemical and biological sensors.
ACCESSION #
44539676

 

Related Articles

  • Mechanism of generation of the flexural vibrations in an ultrasonic waveguide. Britch, A. Mikhail; Bubulis, Algimantas; Minchenya, Vladimir; Veikutis, Vincentas; Navickas, Jonas // Vibroengineering Procedia;Oct2015, Vol. 6, p40 

    This article deals with the problem of transfer of ultrasonic vibrations on flexible hub-waveguide system and is a continuation of research in this field [1-3]. The main field of application of flexible hub-waveguides-minimally invasive surgery for treatment of vascular diseases, where they are...

  • Foreword. Gaura, Elena; Brusey, James P.; Rednic, Ramona // Sensors & Transducers (1726-5479);Dec2011 Supplement, preceding p1 

    An introduction is presented in which the editor discusses various reports within the issue on topics including complex systems that integrate micro and nanoscale, novel materials and manipulation at nano-scale and carbon nano-materials for optical applications.

  • The response of carbon nanotube ensembles to fluid flow: Applications to mechanical property measurement and diagnostics. Deck, C. P.; Ni, C.; Vecchio, K. S.; Bandaru, P. R. // Journal of Applied Physics;Oct2009, Vol. 106 Issue 7, p074304 

    We demonstrate an experimental method to understand the mechanical response of carbon nanotube (CNT) ensembles to fluid flow through the measurement of the flexural rigidity EI, where E is the elastic modulus and I is the moment of inertia. A flexural rigidity (EI) of ∼7.5×10-16 N m2...

  • An Experimental Study on Ferro Cement Channel Units Under Flexural Loading. Rao, T. Chandrasekhar; Rao, T. D. Gunneswara; Rao, N. V. Ramana // International Journal of Mechanics & Solids;2008, Vol. 3 Issue 2, p195 

    This paper presents an experimental study on the strength and behavioral aspects of voided Ferro cement channel type units for pre cast beams. As these beams are lighter in weight, they find their place in seismic resistant design of structures. Eight channel type Ferro cement units were tested...

  • The factors influencing the flexural strength of zirconia ceramic restorations.  // Shanghai Journal of Stomatology;Oct2010, Vol. 19 Issue 5, p553 

    No abstract available.

  • Calculation of the transverse flexural strength of sheet glass. Zubkov, V.; Kondrat’eva, N. // Glass & Ceramics;May2009, Vol. 66 Issue 5/6, p165 

    The equations of equilibrium between internal and external forces are used to derive relations and construct the computer program “Solid Glass” for performing practical calculations of the transverse flexural strength of sheet glass under a uniform load. The computed strength and...

  • Computing Method based on Compound Boundary Conditions for Short Cable force. Bo Lei; Yingzhao Lv; Rongfeng Chen; Wei Ren // Applied Mechanics & Materials;2014, Issue 578-579, p469 

    Against the current problem of large errors in the test result of short cable force, this paper, based on energy method principle, introduces the concept of simply-supported modal participation factor. On the premise of considering the impact of such factors as flexural rigidity and boundary...

  • Tensile strength of single-walled carbon nanotubes directly measured from their macroscopic ropes. Li, F.; Cheng, H. M.; Cheng, H.M.; Bai, S.; Su, G.; Dresselhaus, M. S.; Dresselhaus, M.S. // Applied Physics Letters;11/13/2000, Vol. 77 Issue 20 

    20 mm long ropes consisting of soundly aligned single-walled carbon nanotube (SWNT) ropes, synthesized by the catalytic decomposition of hydrocarbons, were employed for direct tensile strength measurements. The average tensile strength of SWNT rope composites is as high as 3.6±0.4 GPa,...

  • Strength analysis of fibrous ferrocement concrete and effect of using superplasticiser. Wegian, F. M. // Australian Journal of Structural Engineering;2011, Vol. 11 Issue 2, p155 

    Fibre-reinforced concrete (FRC) and ferrocement concrete have been utilised in construction practices for many years. However, limitations with respect to their strength and constructability have restricted their use. Fibrous ferrocement concrete, which is the combination of the FRC and...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics