Steel and Composite Structures

  • 제11권1호
  • /
  • Pages.59-76
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  • 2011
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Forced vibration of an embedded single-walled carbon nanotube traversed by a moving load using nonlocal Timoshenko beam theory

  • Simsek, Mesut (Yildiz Technical University, Department of Civil Engineering, Davutpasa Campus)
  • 투고 : 2010.03.21
  • 심사 : 2010.12.09
  • 발행 : 2011.01.25
⟨ 이전 논문 다음 논문 ⟩

초록

Dynamic analysis of an embedded single-walled carbon nanotube (SWCNT) traversed by a moving nanoparticle, which is modeled as a moving load, is investigated in this study based on the nonlocal Timoshenko beam theory, including transverse shear deformation and rotary inertia. The governing equations and boundary conditions are derived by using the principle of virtual displacement. The Galerkin method and the direct integration method of Newmark are employed to find the dynamic response of the SWCNT. A detailed parametric study is conducted to study the influences of the nonlocal parameter, aspect ratio of the SWCNT, elastic medium constant and the moving load velocity on the dynamic responses of SWCNT. For comparison purpose, free vibration frequencies of the SWCNT are obtained and compared with a previously published study. Good agreement is observed. The results show that the above mentioned effects play an important role on the dynamic behaviour of the SWCNT.

키워드

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  36. Effect of the Chirality on Critical Buckling Temperature of Zigzag Single-walled Carbon Nanotubes Using the Nonlocal Continuum Theory vol.23, pp.6, 2015, https://doi.org/10.1080/1536383X.2012.749457
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  40. Physical insight into Timoshenko beam theory and its modification with extension vol.48, pp.4, 2013, https://doi.org/10.12989/sem.2013.48.4.519
  41. Finite element buckling analysis of multi-layered graphene sheets on elastic substrate based on nonlocal elasticity theory vol.38, pp.24, 2014, https://doi.org/10.1016/j.apm.2014.03.036
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  44. Vibration of initially stressed carbon nanotubes under magneto-thermal environment for nanoparticle delivery via higher-order nonlocal strain gradient theory vol.133, pp.6, 2018, https://doi.org/10.1140/epjp/i2018-12039-5
  45. Nonlocal effects on thermal buckling properties of double-walled carbon nanotubes vol.1, pp.1, 2013, https://doi.org/10.12989/anr.2013.1.1.001
  46. Assessment of various nonlocal higher order theories for the bending and buckling behavior of functionally graded nanobeams vol.23, pp.3, 2011, https://doi.org/10.12989/scs.2017.23.3.339
  47. Damping and vibration analysis of viscoelastic curved microbeam reinforced with FG-CNTs resting on viscoelastic medium using strain gradient theory and DQM vol.25, pp.2, 2011, https://doi.org/10.12989/scs.2017.25.2.141
  48. Size dependent bending analysis of micro/nano sandwich structures based on a nonlocal high order theory vol.27, pp.3, 2018, https://doi.org/10.12989/scs.2018.27.3.371
  49. Buckling analysis of new quasi-3D FG nanobeams based on nonlocal strain gradient elasticity theory and variable length scale parameter vol.28, pp.1, 2011, https://doi.org/10.12989/scs.2018.28.1.013
  50. Nonlinear free and forced vibration analysis of microbeams resting on the nonlinear orthotropic visco-Pasternak foundation with different boundary conditions vol.28, pp.2, 2018, https://doi.org/10.12989/scs.2018.28.2.149
  51. Free axial vibration analysis of axially functionally graded thick nanorods using nonlocal Bishop's theory vol.28, pp.6, 2018, https://doi.org/10.12989/scs.2018.28.6.749
  52. Size-dependent forced vibration response of embedded micro cylindrical shells reinforced with agglomerated CNTs using strain gradient theory vol.22, pp.5, 2011, https://doi.org/10.12989/sss.2018.22.5.527
  53. Wave propagation of functionally graded anisotropic nanoplates resting on Winkler-Pasternak foundation vol.70, pp.1, 2019, https://doi.org/10.12989/sem.2019.70.1.055
  54. Theoretical analysis of chirality and scale effects on critical buckling load of zigzag triple walled carbon nanotubes under axial compression embedded in polymeric matrix vol.70, pp.3, 2019, https://doi.org/10.12989/sem.2019.70.3.269
  55. Some closed-form solutions for static, buckling, free and forced vibration of functionally graded (FG) nanobeams using nonlocal strain gradient theory vol.224, pp.None, 2019, https://doi.org/10.1016/j.compstruct.2019.111041
  56. Effect of nonlocal parameter on nonlocal thermoelastic solid due to inclined load vol.33, pp.1, 2011, https://doi.org/10.12989/scs.2019.33.1.123
  57. Static stability analysis of axially functionally graded tapered micro columns with different boundary conditions vol.33, pp.1, 2019, https://doi.org/10.12989/scs.2019.33.1.133
  58. Nonlocal effect on the vibration of armchair and zigzag SWCNTs with bending rigidity vol.7, pp.6, 2011, https://doi.org/10.12989/anr.2019.7.6.431
  59. Effects of nonlocality and two temperature in a nonlocal thermoelastic solid due to ramp type heat source vol.27, pp.1, 2020, https://doi.org/10.1080/25765299.2020.1825157
  60. An inclined FGM beam under a moving mass considering Coriolis and centrifugal accelerations vol.35, pp.1, 2020, https://doi.org/10.12989/scs.2020.35.1.061
  61. Time harmonic interactions in non local thermoelastic solid with two temperatures vol.74, pp.3, 2011, https://doi.org/10.12989/sem.2020.74.3.341
  62. Effect of Pasternak foundation: Structural modal identification for vibration of FG shell vol.9, pp.6, 2020, https://doi.org/10.12989/acc.2020.9.6.569
  63. Runge-Kutta method for flow of dusty fluid along exponentially stretching cylinder vol.36, pp.5, 2011, https://doi.org/10.12989/scs.2020.36.5.603
  64. Flow of casson nanofluid along permeable exponentially stretching cylinder: Variation of mass concentration profile vol.38, pp.1, 2011, https://doi.org/10.12989/scs.2021.38.1.033
  65. Parametric vibration analysis of single-walled carbon nanotubes based on Sanders shell theory vol.10, pp.2, 2021, https://doi.org/10.12989/anr.2021.10.2.165
  66. On the mechanics of nanocomposites reinforced by wavy/defected/aggregated nanotubes vol.38, pp.5, 2011, https://doi.org/10.12989/scs.2021.38.5.533
  67. Thermal stress effects on microtubules based on orthotropic model: Vibrational analysis vol.11, pp.3, 2011, https://doi.org/10.12989/acc.2021.11.3.255
  68. Effect of suction on flow of dusty fluid along exponentially stretching cylinder vol.10, pp.3, 2011, https://doi.org/10.12989/anr.2021.10.3.263
  69. Aerodynamic Analysis of Temperature-Dependent FG-WCNTRC Nanoplates under a Moving Nanoparticle using Meshfree Finite Volume Method vol.134, pp.None, 2011, https://doi.org/10.1016/j.enganabound.2021.10.021