Steady-state forced vibrations of magneto-electro-elastic Timoshenko nanobeams
Source abstract
Abstract
This paper aims to investigate forced vibrations of Timoshenko nanobeam, which is under axially loaded. The material is assumed to be magneto-electro-elastic coupling and surface effect is considered. The governing equations and the corresponding boundary conditions are derived, with the Hamilton principle. For steady-state forced vibrations, the variable separation and the Laplace transform methods are employed to obtain the Green’s function, for three typical kinds of beams, namely Hinged-Hinged, Clamped-Clamped, and Clamped-Free. Numerical examples are performed to check the validity of the present solutions and to evaluate the influence of magneto-electric coupling and surface effect on the forced vibration of the beams.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Nonlocal and gradient elasticity in micro/nano structures · Thermoelastic and Magnetoelastic Phenomena · Numerical methods in engineering
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu, Sichuan, P.R. China
Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, School of Mechanics and Aerospace Engineering, Southwest Jiaotong University, Chengdu, P.R. China
School of Civil Architecture and Civil Engineering, Xihua University, Chengdu, Sichuan, P.R. China
POWERCHINA Chengdu Engineering Corporation Limited, Chengdu, P.R. China
Funding
Alexander von Humboldt-Stiftung · Yanghua Plan (2019) in Southwest Jiaotong University and the Fundamental Research Funds for the Central Universities · National Natural Science Foundation of China · department of science and technology of sichuan province
References (54)
Show source-provided references
1. 10.1088/0964-1726/10/5/30310.1088/0964-1726/10/5/303 ↗
2. 10.1088/0964-1726/25/9/09503310.1088/0964-1726/25/9/095033 ↗
3. 10.1016/j.mechrescom.2017.01.00410.1016/j.mechrescom.2017.01.004 ↗
4. 10.4028/www.scientific.net/AMM.764-765.119910.4028/www.scientific.net/AMM.764-765.1199 ↗
5. 10.1016/j.ijmecsci.2016.05.00310.1016/j.ijmecsci.2016.05.003 ↗
6. 10.1016/j.ijengsci.2004.04.00210.1016/j.ijengsci.2004.04.002 ↗
7. Chen XH · Journal of Sichuan University of Science and Engineering (Natural Science Edition) · 2018 · 4 · 20
8. 10.1016/S0045-7949(00)00058-410.1016/S0045-7949(00)00058-4 ↗
9. 10.1007/s00339-016-0465-110.1007/s00339-016-0465-1 ↗
10. 10.1088/2053-1591/aab46d10.1088/2053-1591/aab46d ↗
11. 10.1002/pc.2402010.1002/pc.24020 ↗
12. 10.1016/j.compositesb.2015.01.01210.1016/j.compositesb.2015.01.012 ↗
13. 10.1016/j.compstruct.2015.12.03910.1016/j.compstruct.2015.12.039 ↗
14. 10.1088/2053-1591/aa711c10.1088/2053-1591/aa711c ↗
15. 10.1007/BF0026137510.1007/BF00261375 ↗
16. 10.1109/WiCom.2008.46510.1109/WiCom.2008.465 ↗
17. 10.1002/adma.20100431710.1002/adma.201004317 ↗
18. 10.1103/PhysRevB.73.23540910.1103/PhysRevB.73.235409 ↗
19. 10.1016/j.physe.2014.05.00210.1016/j.physe.2014.05.002 ↗
20. 10.1007/s10409-014-0072-310.1007/s10409-014-0072-3 ↗
21. 10.1016/S0022-460X(88)80093-210.1016/S0022-460X(88)80093-2 ↗
22. Li J · Progress in Chemistry · 2013 · 25 · 380
23. 10.1016/j.jmps.2014.11.00210.1016/j.jmps.2014.11.002 ↗
24. 10.1016/j.jsv.2013.11.00710.1016/j.jsv.2013.11.007 ↗
25. 10.1016/j.ijengsci.2017.03.01310.1016/j.ijengsci.2017.03.013 ↗
26. 10.1177/1045389X1558589910.1177/1045389X15585899 ↗
27. 10.1016/j.compstruct.2014.01.03310.1016/j.compstruct.2014.01.033 ↗
28. 10.1016/j.jsv.2012.01.01610.1016/j.jsv.2012.01.016 ↗
29. 10.1109/TNANO.2009.203414210.1109/TNANO.2009.2034142 ↗
30. 10.1016/j.physe.2016.10.03610.1016/j.physe.2016.10.036 ↗
31. 10.1103/PhysRevB.76.06411510.1103/PhysRevB.76.064115 ↗
32. 10.1063/1.283641010.1063/1.2836410 ↗
33. 10.1007/s00542-017-3671-710.1007/s00542-017-3671-7 ↗
34. 10.1002/pssr.20120613510.1002/pssr.201206135 ↗
35. 10.1007/s10832-007-9042-510.1007/s10832-007-9042-5 ↗
36. Qin QH · 2012
37. 10.1142/S175882511550036210.1142/S1758825115500362 ↗
38. 10.1119/1.1921610.1119/1.19216 ↗
39. 10.1016/j.physe.2017.03.02210.1016/j.physe.2017.03.022 ↗
40. 10.1016/j.ijmecsci.2018.01.03910.1016/j.ijmecsci.2018.01.039 ↗
41. 10.1016/j.compositesb.2018.08.13210.1016/j.compositesb.2018.08.132 ↗
42. 10.1088/0964-1726/25/9/09502610.1088/0964-1726/25/9/095026 ↗
43. 10.1016/j.compstruct.2016.01.03510.1016/j.compstruct.2016.01.035 ↗
44. 10.1038/asiamat.2010.3210.1038/asiamat.2010.32 ↗
45. 10.3390/s2014393110.3390/s20143931 ↗
46. Wu CS · Advanced Energy Materials · 2019 · 9
47. 10.1016/j.ijengsci.2019.10313610.1016/j.ijengsci.2019.103136 ↗
48. 10.1007/s00707-016-1568-710.1007/s00707-016-1568-7 ↗
49. 10.1088/0957-4484/22/24/24570310.1088/0957-4484/22/24/245703 ↗
50. 10.1155/2011/89273610.1155/2011/892736 ↗
51. 10.1016/j.ijmecsci.2008.03.00110.1016/j.ijmecsci.2008.03.001 ↗
52. 10.1111/j.1551-2916.2008.02259.x10.1111/j.1551-2916.2008.02259.x ↗
53. 10.1016/j.ijengsci.2018.10.00610.1016/j.ijengsci.2018.10.006 ↗
54. 10.1142/S021945541950081010.1142/S0219455419500810 ↗