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Vibration analysis of viscoelastic single-walled carbon nanotubes resting on a viscoelastic foundation

Da-Peng Zhang, Yong-Jun Lei, Cheng-Yuan Wang, Zhi-Bin Shen, Chengyuan Wang Orcid Logo

Journal of Mechanical Science and Technology, Volume: 31, Issue: 1, Pages: 87 - 98

Swansea University Author: Chengyuan Wang Orcid Logo

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DOI (Published version): 10.1007/s12206-016-1007-7

Abstract

Vibration responses were investigated for a viscoelastic Single-walled carbon nanotube (visco-SWCNT) resting on a viscoelastic foundation. Based on the nonlocal Euler-Bernoulli beam model, velocity-dependent external damping and Kelvin viscoelastic foundation model, the governing equations were deri...

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Published in: Journal of Mechanical Science and Technology
ISSN: 1738-494X 1976-3824
Published: 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa31837
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spelling 2017-03-02T17:18:06.0880731 v2 31837 2017-02-01 Vibration analysis of viscoelastic single-walled carbon nanotubes resting on a viscoelastic foundation fdea93ab99f51d0b3921d3601876c1e5 0000-0002-1001-2537 Chengyuan Wang Chengyuan Wang true false 2017-02-01 MECH Vibration responses were investigated for a viscoelastic Single-walled carbon nanotube (visco-SWCNT) resting on a viscoelastic foundation. Based on the nonlocal Euler-Bernoulli beam model, velocity-dependent external damping and Kelvin viscoelastic foundation model, the governing equations were derived. The Transfer function method (TFM) was then used to compute the natural frequencies for general boundary conditions and foundations. In particular, the exact analytical expressions of both complex natural frequencies and critical viscoelastic parameters were obtained for the Kelvin-Voigt visco-SWCNTs with full foundations and certain boundary conditions, and several physically intuitive special cases were discussed. Substantial nonlocal effects, the influence of geometric and physical parameters of the SWCNT and the viscoelastic foundation were observed for the natural frequencies of the supported SWCNTs. The study demonstrates the efficiency and robustness of the developed model for the vibration of the visco-SWCNT-viscoelastic foundation coupling system. Journal Article Journal of Mechanical Science and Technology 31 1 87 98 1738-494X 1976-3824 Carbon nanotubes, Nonlocal viscoelastic theory, VibrationViscoelastic foundation 31 1 2017 2017-01-31 10.1007/s12206-016-1007-7 COLLEGE NANME Mechanical Engineering COLLEGE CODE MECH Swansea University 2017-03-02T17:18:06.0880731 2017-02-01T09:26:41.7540967 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering Da-Peng Zhang 1 Yong-Jun Lei 2 Cheng-Yuan Wang 3 Zhi-Bin Shen 4 Chengyuan Wang 0000-0002-1001-2537 5 0031837-02032017171649.pdf zhang2017(2).pdf 2017-03-02T17:16:49.0530000 Output 1326743 application/pdf Accepted Manuscript true 2018-01-17T00:00:00.0000000 false eng
title Vibration analysis of viscoelastic single-walled carbon nanotubes resting on a viscoelastic foundation
spellingShingle Vibration analysis of viscoelastic single-walled carbon nanotubes resting on a viscoelastic foundation
Chengyuan Wang
title_short Vibration analysis of viscoelastic single-walled carbon nanotubes resting on a viscoelastic foundation
title_full Vibration analysis of viscoelastic single-walled carbon nanotubes resting on a viscoelastic foundation
title_fullStr Vibration analysis of viscoelastic single-walled carbon nanotubes resting on a viscoelastic foundation
title_full_unstemmed Vibration analysis of viscoelastic single-walled carbon nanotubes resting on a viscoelastic foundation
title_sort Vibration analysis of viscoelastic single-walled carbon nanotubes resting on a viscoelastic foundation
author_id_str_mv fdea93ab99f51d0b3921d3601876c1e5
author_id_fullname_str_mv fdea93ab99f51d0b3921d3601876c1e5_***_Chengyuan Wang
author Chengyuan Wang
author2 Da-Peng Zhang
Yong-Jun Lei
Cheng-Yuan Wang
Zhi-Bin Shen
Chengyuan Wang
format Journal article
container_title Journal of Mechanical Science and Technology
container_volume 31
container_issue 1
container_start_page 87
publishDate 2017
institution Swansea University
issn 1738-494X
1976-3824
doi_str_mv 10.1007/s12206-016-1007-7
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering
document_store_str 1
active_str 0
description Vibration responses were investigated for a viscoelastic Single-walled carbon nanotube (visco-SWCNT) resting on a viscoelastic foundation. Based on the nonlocal Euler-Bernoulli beam model, velocity-dependent external damping and Kelvin viscoelastic foundation model, the governing equations were derived. The Transfer function method (TFM) was then used to compute the natural frequencies for general boundary conditions and foundations. In particular, the exact analytical expressions of both complex natural frequencies and critical viscoelastic parameters were obtained for the Kelvin-Voigt visco-SWCNTs with full foundations and certain boundary conditions, and several physically intuitive special cases were discussed. Substantial nonlocal effects, the influence of geometric and physical parameters of the SWCNT and the viscoelastic foundation were observed for the natural frequencies of the supported SWCNTs. The study demonstrates the efficiency and robustness of the developed model for the vibration of the visco-SWCNT-viscoelastic foundation coupling system.
published_date 2017-01-31T03:38:55Z
_version_ 1763751740850569216
score 11.013731

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