An Investigation of Radial Vibration Modes of Embedded Double-Curved-Nanobeam-Systems

Farzad EBRAHİMİ [1] , Mohsen DAMAN [2]


The vibration of two curved nanobeams with coupling radial springs is considered. A nonlocal Euler-Bernoulli curved nanobeam model has been assumed in order to investigate the radial vibration of the double-curved-nanobeam-system (DCNBS) embedded in an elastic medium. Natural frequencies for the DCNBS are obtained by using the Navier Method. Moreover, the effect of the angle of curvature on the natural frequencies is discussed. Comparison studies are also performed to verify the present formulation and solutions. It is shown that the results are in excellent agreement with the previous studies. Furthermore, it is shown that considering the effects of the curvature decreases the natural frequency of the DCNBS and that the natural frequency decreases by increasing the small scale coefficient. In addition, the variation of the frequency has been investigated based on the stiffness of the springs in a radial direction.

Radial vibration, ; Double curved nanobeam, , Coupling radial springs
  • [1] M. Şimşek, Large amplitude free vibration of nanobeams with various boundary conditions based on the nonlocal elasticity theory, Composites Part B: Engineering, 56 (2014), 621-628.
  • [2] T. L. Daulton, K. S. Karyn Bondi, K. F. Kelton. Nanobeam diffraction fluctuation electron microscopy technique for structural characterization of disordered materials—Application to Al88−xY7 Fe5 Tix metallic glasses. Ultramicroscopy 110(10) (2010), 1279-1289.
  • [3] B. Hu, Y. Ding, W. Chen, D. Kulkarni, Y. Shen, V. V. Tsukruk, Z Lin Wang, External‐Strain Induced Insulating Phase Transition in VO2 Nanobeam and Its Application as Flexible Strain Sensor, Advanced Materials 22(45) (2010), 5134- 5139.
  • [4] Thai, Huu-Tai. A nonlocal beam theory for bending, buckling, and vibration of nanobeams, International Journal of Engineering Science 52 (2012), 56-64.
  • [5] F. Ebrahimi, E. Salari. Effect of various thermal loadings on buckling and vibrational characteristics of nonlocal temperature-dependent FG nanobeams, Mechanics of Advanced Materials and Structures, (2016), 1-58.
  • [6] F. Ebrahimi, E. Salari. Thermo-mechanical vibration analysis of nonlocal temperature-dependent FG nanobeams with various boundary conditions, Composites Part B: Engineering, 78, (2015), 272-290.
  • [7] F. Ebrahimi, E. Salari, S. A. H. Hosseini. Thermomechanical Vibration Behavior of FG Nanobeams Subjected to Linear and Non-Linear Temperature Distributions, Journal of Thermal Stresses 38(12), (2015), 1362-1388.
  • [8] F. Ebrahimi, M. Ghadiri, E. Salari, S. A. H. Hoseini, G. R. Shaghaghi, Application of the differential transformation method for nonlocal vibration analysis of functionally graded nanobeams, Journal of Mechanical Science and Technology, 29(3), (2015), 1207-1215.
  • [9] S. Chakraverty, L. Behera. Free vibration of non-uniform nanobeams using Rayleigh-Ritz method, Physica E: Low-dimensional Systems and Nanostructures, 67, (2015), 38-46.
  • [10] C. M. Wang, W. H. Duan. Free vibration of nanorings/arches based on nonlocal elasticity, Journal of Applied Physics, 104(1), (2008), 014303.
  • [11] Z. Yan, L. Jiang, Electromechanical response of a curved piezoelectric nanobeam with the consideration of surface effects, Journal of Physics D: Applied Physics, 44(36), (2011), 365301.
  • [12] H. Kananipour, M. Ahmadi, H. Chavoshi, Application of nonlocal elasticity and DQM to dynamic analysis of curved nanobeams, Latin American Journal of Solids and Structures, 11(5), (2014), 848-853.
  • [13] M. E. Khater, M. A. Eltaher, E. Abdel-Rahman, M. Yavuz, Surface and thermal load effects on the buckling of curved nanowires, Engineering Science and Technology, an International Journal, 17(4), (2014), 279-283.
  • [14] A. Assadi, B. Farshi, Size dependent vibration of curved nanobeams and rings including surface energies, Physica E: Low-dimensional Systems and Nanostructures, 43(4), (2011), 975-978.
  • [15] H. V. Vu, A. M. Ordonez, B. H. Karnopp. Vibration of a double-beam system, Journal of Sound and Vibration, 229(4), (2000), 807-822.
  • [16] Z. Oniszczuk, Free transverse vibrations of elastically connected simply supported double-beam complex system, Journal of Sound and Vibration, 232(2), (2000), 387-403.
  • [17] Y. Q. Zhang, Y. Lu, G. W. Ma, Effect of compressive axial load on forced transverse vibrations of a double-beam system, International Journal of Mechanical Sciences, 50(2), (2008), 299-305.
  • [18] L. Xiaobin, X. Shuangxi, W. Weiguo, L. Jun, An exact dynamic stiffness matrix for axially loaded double-beam systems, Sadhana, 39(3), (2014), 607-623.
  • [19] M. Şimşek, Nonlocal effects in the forced vibration of an elastically connected double-carbon nanotube system under a moving nanoparticle, Computational Materials Science, 50(7), (2011), 2112-2123.
  • [20] V. Stojanović, P. Kozić, Forced transverse vibration of Rayleigh and Timoshenko double-beam system with effect of compressive axial load, International Journal of Mechanical Sciences, 60(1), (2012), 59-71.
  • [21] T. Murmu, S. Adhikari, Nonlocal vibration of bonded double-nanoplate-systems, Composites Part B: Engineering, 42(7), (2011), 1901-1911.
  • [22] T. Murmu, S. Adhikari, Axial instability of double-nanobeam systems, Physics Letters A, 375(3), (2011), 601-608.
  • [23] T. Murmu, S. Adhikari, Nonlocal elasticity based vibration of initially prestressed coupled nanobeam systems, European Journal of Mechanics-A/Solids, 34, (2012), 52-62.
  • [24] D.-H. Wang, G.-F. Wang, Surface effects on the vibration and buckling of double-nanobeam systems, Journal of Nanomaterials, 2011, (2011), 12.
  • [25] A. Ciekot, S. Kukla. Frequency analysis of a double-nanobeam system, Journal of Applied Mathematics and Computational Mechanics, 13(1), (2014), 23-31.
  • [26] A. Arani, A. Ghorbanpour, R. Kolahchi, S. A. Mortazavi. Nonlocal piezoelasticity based wave propagation of bonded double-piezoelectric nanobeam-systems, International Journal of Mechanics and Materials in Design, 10(2), (2014), 179-191.
  • [27] D. Karličić, M. Cajića, T. Murmub, S. Adhikar, Nonlocal longitudinal vibration of viscoelastic coupled double-nanorod systems, European Journal of Mechanics-A/Solids, 49, (2015), 183-196.
  • [28] T. Murmu, S. Adhikari. Nonlocal transverse vibration of double-nanobeam systems, Journal of Applied Physics, 108(8), (2010), 083514.
  • [29] S. S. Rao, Vibration of continuous systems. John Wiley & Sons, 2007.
  • [30] T. Murmu, S. C. Pradhan, Small-scale effect on the free in-plane vibration of nanoplates by nonlocal continuum model, Physica E: Low-dimensional Systems and Nanostructures, 41(8), (2009), 1628-1633.
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Yazar: Farzad EBRAHİMİ

Yazar: Mohsen DAMAN

Tarihler

Yayımlanma Tarihi : 1 Mayıs 2016

Bibtex @araştırma makalesi { cankujse368625, journal = {Cankaya University Journal of Science and Engineering}, issn = {}, eissn = {2564-7954}, address = {}, publisher = {Çankaya Üniversitesi}, year = {2016}, volume = {13}, pages = { - }, doi = {}, title = {An Investigation of Radial Vibration Modes of Embedded Double-Curved-Nanobeam-Systems}, key = {cite}, author = {Ebrahi̇mi̇, Farzad and Daman, Mohsen} }
APA Ebrahi̇mi̇, F , Daman, M . (2016). An Investigation of Radial Vibration Modes of Embedded Double-Curved-Nanobeam-Systems . Cankaya University Journal of Science and Engineering , 13 (1) , . Retrieved from https://dergipark.org.tr/tr/pub/cankujse/issue/31481/368625
MLA Ebrahi̇mi̇, F , Daman, M . "An Investigation of Radial Vibration Modes of Embedded Double-Curved-Nanobeam-Systems" . Cankaya University Journal of Science and Engineering 13 (2016 ): <https://dergipark.org.tr/tr/pub/cankujse/issue/31481/368625>
Chicago Ebrahi̇mi̇, F , Daman, M . "An Investigation of Radial Vibration Modes of Embedded Double-Curved-Nanobeam-Systems". Cankaya University Journal of Science and Engineering 13 (2016 ):
RIS TY - JOUR T1 - An Investigation of Radial Vibration Modes of Embedded Double-Curved-Nanobeam-Systems AU - Farzad Ebrahi̇mi̇ , Mohsen Daman Y1 - 2016 PY - 2016 N1 - DO - T2 - Cankaya University Journal of Science and Engineering JF - Journal JO - JOR SP - EP - VL - 13 IS - 1 SN - -2564-7954 M3 - UR - Y2 - 2020 ER -
EndNote %0 Cankaya University Journal of Science and Engineering An Investigation of Radial Vibration Modes of Embedded Double-Curved-Nanobeam-Systems %A Farzad Ebrahi̇mi̇ , Mohsen Daman %T An Investigation of Radial Vibration Modes of Embedded Double-Curved-Nanobeam-Systems %D 2016 %J Cankaya University Journal of Science and Engineering %P -2564-7954 %V 13 %N 1 %R %U
ISNAD Ebrahi̇mi̇, Farzad , Daman, Mohsen . "An Investigation of Radial Vibration Modes of Embedded Double-Curved-Nanobeam-Systems". Cankaya University Journal of Science and Engineering 13 / 1 (Mayıs 2016): - .
AMA Ebrahi̇mi̇ F , Daman M . An Investigation of Radial Vibration Modes of Embedded Double-Curved-Nanobeam-Systems. Cankaya University Journal of Science and Engineering. 2016; 13(1): -.
Vancouver Ebrahi̇mi̇ F , Daman M . An Investigation of Radial Vibration Modes of Embedded Double-Curved-Nanobeam-Systems. Cankaya University Journal of Science and Engineering. 2016; 13(1): -.