Yıl 2016,
Cilt: 13 Sayı: 1, - , 01.05.2016
Farzad Ebrahimi
Mohsen Daman
Kaynakça
- [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.
An Investigation of Radial Vibration Modes of Embedded Double-Curved-Nanobeam-Systems
Yıl 2016,
Cilt: 13 Sayı: 1, - , 01.05.2016
Farzad Ebrahimi
Mohsen Daman
Öz
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.
Kaynakça
- [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.