Skip to main content
SpringerLink
Log in

Hygro–thermo–magnetically induced vibration of nanobeams with simultaneous axial and spinning motions based on nonlocal strain gradient theory

  • Original Article
  • Published:
Engineering with Computers Aims and scope Submit manuscript

Abstract

In this paper, based on the nonlocal strain gradient theory (NSGT), the coupled vibrations of nanobeams with axial and spinning motions under complex environmental changes are modeled. A detailed parametric investigation is also performed to determine the effect of size-dependent parameters, boundary conditions, hygro–thermo–magnetic loads, axial and spin velocities on the dynamical behavior and stability regions of the system. Adopting the Galerkin discretization technique, the eigenvalue problem is solved, and natural frequencies, divergence and flutter instability thresholds of the system are extracted accordingly. The acquired outcomes are compared with the reported results in the literature. Besides, the accuracy of the numerical method is compared with analytical approaches and a good agreement is observed. The obtained results demonstrate that considering the nonlocal and hygro–thermal effects in modeling has destabilizing impacts on the dynamical response of the system. While imposing the strain gradient term and magnetic field leads to the enhancement of vibrational frequencies and enlargement of stability areas. In addition, it is concluded that in hygro–thermal environments, by ascending the spin velocity, instead of the occurrence of divergence instability, the system experiences the flutter conditions. Meanwhile, the attained outcomes indicated that the variation of spin velocity does not affect the flutter instability threshold of the system.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16

Similar content being viewed by others

References

  1. Wang X et al (2018) Hierarchical coral-like NiMoS nanohybrids as highly efficient bifunctional electrocatalysts for overall urea electrolysis. Nano Res 11(2):988–996

    Google Scholar 

  2. Luo X et al (2020) Efficient and stable catalysis of hollow Cu9S5 nanospheres in the Fenton-like degradation of organic dyes. J Hazard Mater 396:122735. https://doi.org/10.1016/j.jhazmat.2020.122735

    Article  Google Scholar 

  3. Lv Z, Song H (2019) Mobile internet of things under data physical fusion technology. IEEE Internet Things J 7(5):4616–4624

    Google Scholar 

  4. Lv Z, Xiu W (2019) Interaction of edge-cloud computing based on SDN and NFV for next generation IoT. IEEE Internet Things J

  5. Khalilpasha MH, Sadeghi-Nik A, Lotfi-Omran O, Kimiaeifard K, Amirpour-Molla M (2012) Sustainable development using recyclable rubber in self-compacting concrete. In: Third international conference on construction in developing countries (advancing civil, architectural and construction engineering & management), pp 580–585

  6. Nik AS, Bahari A, Nik AS (2011) Investigation of nano structural properties of cement-based materials. Am J Sci Res 25:104–111

    Google Scholar 

  7. Jermsittiparsert K, Ghabussi A, Forooghi A, Shavalipour A, Habibi M, won Jung D, Safa M (2020) Critical voltage, thermal buckling and frequency characteristics of a thermally affected GPL reinforced composite microdisk covered with piezoelectric actuator. Mech Based Des Struct Mach. https://doi.org/10.1080/15397734.2020.1748052

    Article  Google Scholar 

  8. Ebrahimi-Mamaghani A, Forooghi A, Sarparast H, Alibeigloo A, Friswell MT (2021) Vibration of viscoelastic axially graded beams with simultaneous axial and spinning motions under an axial load. Appl Math Model 90:131–150. https://doi.org/10.1016/j.apm.2020.08.041

    Article  MathSciNet  MATH  Google Scholar 

  9. Li X, Zhu Y, Wang J (2019) Highly efficient privacy preserving location-based services with enhanced one-round blind filter. IEEE Trans Emerg Topics Comput. https://doi.org/10.1109/TETC.2019.2926385

    Article  Google Scholar 

  10. Xue Q, Zhu Y, Wang J (2019) Joint distribution estimation and naïve Bayes classification under local differential privacy. IEEE Trans Emerg Topics Comput. https://doi.org/10.1109/TETC.2019.2959581

    Article  Google Scholar 

  11. Lv Z, Kumar N (2020) Software defined solutions for sensors in 6G/IoE. Comput Commun 153:42–47

    Google Scholar 

  12. Lv Z, Qiao L (2020) Analysis of healthcare big data. Future Gener Comput Syst. https://doi.org/10.1016/j.future.2020.03.039

    Article  Google Scholar 

  13. Sadeghi-Nik A, Bahari A, Khorshidi Z, Gholipur R (2012) Effect of lanthanum oxide on the bases of cement and concrete. In: Third international conference on construction in developing countries (advancing civil, architectural and construction engineering & management). Bangkok, pp 4–6

  14. Lv Z, Qiao L (2020) Deep belief network and linear perceptron based cognitive computing for collaborative robots. Appl Soft Comput:106300

  15. Ni T et al (2019) LCHR-TSV: novel low cost and highly repairable honeycomb-based TSV redundancy architecture for clustered faults. IEEE Trans Comput Aided Des Integr Circ Syst. https://doi.org/10.1109/TCAD.2019.2946243

    Article  Google Scholar 

  16. Yang Y et al (2020a) Adsorption behaviors of shale oil in kerogen slit by molecular simulation. Chem Eng J 387:124054

    Google Scholar 

  17. Li Z, Zhou H, Hu D, Zhang C (2020) Yield criterion for rocklike geomaterials based on strain energy and CMP model. Int J Geomech 20(3):04020013

    Google Scholar 

  18. Safarpour M, Rahimi A, Alibeigloo A, Bisheh H, Forooghi A (2019) Parametric study of three-dimensional bending and frequency of FG-GPLRC porous circular and annular plates on different boundary conditions. Mech Based Des Struct Mach. https://doi.org/10.1080/15397734.2019.1701491

    Article  Google Scholar 

  19. Ebrahimi-Mamaghani A, Sotudeh-Gharebagh R, Zarghami R, Mostoufi N (2020) Thermo-mechanical stability of axially graded Rayleigh pipes. Mech Based Des Struct Mach. https://doi.org/10.1080/15397734.2020.1717967

    Article  Google Scholar 

  20. Ebrahimi-Mamaghani A, Mirtalebi SH, Ahmadian M-T (2020) Magneto-mechanical stability of axially functionally graded supported nanotubes. Mater Res Express 6(12):1250c5. https://doi.org/10.1088/2053-1591/ab4d77

    Article  Google Scholar 

  21. Esfahani S, Esmaeilzade Khadem S, Ebrahimi Mamaghani A (2019) Nonlinear vibration analysis of an electrostatic functionally graded nano-resonator with surface effects based on nonlocal strain gradient theory. Int J Mech Sci 151:508–522. https://doi.org/10.1016/j.ijmecsci.2018.11.030

    Article  Google Scholar 

  22. Malekzadeh P, Farajpour A (2012) Axisymmetric free and forced vibrations of initially stressed circular nanoplates embedded in an elastic medium. Acta Mech 223(11):2311–2330

    MathSciNet  MATH  Google Scholar 

  23. Mohammadimehr M, Mohammadimehr M, Dashti P (2016) Size-dependent effect on biaxial and shear nonlinear buckling analysis of nonlocal isotropic and orthotropic micro-plate based on surface stress and modified couple stress theories using differential quadrature method. Appl Math Mech 37(4):529–554

    MathSciNet  MATH  Google Scholar 

  24. AkhavanAlavi S, Mohammadimehr M, Edjtahed S (2019) Active control of micro Reddy beam integrated with functionally graded nanocomposite sensor and actuator based on linear quadratic regulator method. Eur J Mech A/Solids 74:449–461

    MathSciNet  MATH  Google Scholar 

  25. Mohammadi M, Farajpour A, Goodarzi M, Dinari F (2014) Thermo-mechanical vibration analysis of annular and circular graphene sheet embedded in an elastic medium. Latin Am J Solids Struct 11(4):659–682

    Google Scholar 

  26. Ghorbanpour Arani A, Rousta Navi B, Mohammadimehr M (2016) Surface stress and agglomeration effects on nonlocal biaxial buckling polymeric nanocomposite plate reinforced by CNT using various approaches. Adv Compos Mater 25(5):423–441

    Google Scholar 

  27. Lim C, Zhang G, Reddy J (2015) A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation. J Mech Phys Solids 78:298–313

    MathSciNet  MATH  Google Scholar 

  28. Li T, Xu M, Zhu C, Yang R, Wang Z, Guan Z (2019) A deep learning approach for multi-frame in-loop filter of HEVC. IEEE Trans Image Process 28(11):5663–5678

    MathSciNet  MATH  Google Scholar 

  29. Xu M, Li C, Zhang S, Le Callet P (2020) State-of-the-art in 360 video/image processing: perception, assessment and compression. IEEE J Sel Topics Signal Process 14(1):5–26

    Google Scholar 

  30. Gao N, Wei Z, Hou H, Krushynska AO (2019) Design and experimental investigation of V-folded beams with acoustic black hole indentations. J Acoust Soc Am 145(1):EL79–EL83

    Google Scholar 

  31. Gao N-S, Guo X-Y, Cheng B-Z, Zhang Y-N, Wei Z-Y, Hou H (2019) Elastic wave modulation in hollow metamaterial beam with acoustic black hole. IEEE Access 7:124141–124146

    Google Scholar 

  32. Gao N, Wei Z, Zhang R, Hou H (2019) Low-frequency elastic wave attenuation in a composite acoustic black hole beam. Appl Acoust 154:68–76

    Google Scholar 

  33. Gao N, Zhang Y (2019) A low frequency underwater metastructure composed by helix metal and viscoelastic damping rubber. J Vib Control 25(3):538–548

    Google Scholar 

  34. Rostami R, Mohammadimehr M (2020) Vibration control of rotating sandwich cylindrical shell-reinforced nanocomposite face sheet and porous core integrated with functionally graded magneto-electro-elastic layers. Eng Comput:1–14

  35. Mohammadi M, Moradi A, Ghayour M, Farajpour A (2014) Exact solution for thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic medium. Latin Am J Solids Struct 11(3):437–458

    Google Scholar 

  36. Mohammadimehr M, Shahedi S, Rousta Navi B (2017) Nonlinear vibration analysis of FG-CNTRC sandwich Timoshenko beam based on modified couple stress theory subjected to longitudinal magnetic field using generalized differential quadrature method. Proc Inst Mech Eng Part C J Mech Eng Sci 231(20):3866–3885

    Google Scholar 

  37. Yazdani R, Mohammadimehr M, Navi BR (2019) Free vibration of Cooper–Naghdi micro saturated porous sandwich cylindrical shells with reinforced CNT face sheets under magneto-hydro-thermo-mechanical loadings. Struct Eng Mech 70(3):351–365

    Google Scholar 

  38. Gao N, Hou H, Wu JH (2018) A composite and deformable honeycomb acoustic metamaterial. Int J Mod Phys B 32(20):1850204

    Google Scholar 

  39. Gao N, Hou H, Zhang Y, Wu JH (2018) Sound absorption of a new oblique-section acoustic metamaterial with nested resonator. Mod Phys Lett B 32(04):1850040

    Google Scholar 

  40. Hosseini R, Hamedi M, Ebrahimi Mamaghani A, Chan Kim H, Kim J, Dayou J (2017) Parameter identification of partially covered piezoelectric cantilever power scavenger based on the coupled distributed parameter solution. Int J Smart Nano Mater 8(2–3):110–124. https://doi.org/10.1080/19475411.2017.1343754

    Article  Google Scholar 

  41. Mamaghani AE, Khadem S, Bab S (2016) Vibration control of a pipe conveying fluid under external periodic excitation using a nonlinear energy sink. Nonlinear Dyn 86(3):1761–1795. https://doi.org/10.1007/s11071-016-2992-x

    Article  MATH  Google Scholar 

  42. Hamed Mirtalebi S, Taghi Ahmadian M, Ebrahimi-Mamaghani A (2019) On the dynamics of micro-tubes conveying fluid on various foundations. SN Appl Sci 1:547. https://doi.org/10.1007/s42452-019-0562-9

    Article  Google Scholar 

  43. Ebrahimi MA, Zohoor H, Firoozbakhsh K, Hosseini R (2013) Dynamics of a running below-knee prosthesis compared to those of a normal subject. J Solid Mech 5(2):152–160

    Google Scholar 

  44. Barati MR (2017) Magneto-hygro–thermal vibration behavior of elastically coupled nanoplate systems incorporating nonlocal and strain gradient effects. J Braz Soc Mech Sci Eng 39(11):4335–4352

    Google Scholar 

  45. Kolahchi R, Hosseini H, Fakhar MH, Taherifar R, Mahmoudi M (2019) A numerical method for magneto-hygro-thermal postbuckling analysis of defective quadrilateral graphene sheets using higher order nonlocal strain gradient theory with different movable boundary conditions. Comput Math Appl 78(6):2018–2034

    MathSciNet  MATH  Google Scholar 

  46. Ebrahimi F, Barati MR (2018) Damping vibration analysis of graphene sheets on viscoelastic medium incorporating hygro-thermal effects employing nonlocal strain gradient theory. Compos Struct 185:241–253

    Google Scholar 

  47. Farajpour A, Ghayesh MH, Farokhi H (2019) Large-amplitude coupled scale-dependent behaviour of geometrically imperfect NSGT nanotubes. Int J Mech Sci 150:510–525

    Google Scholar 

  48. Farajpour A, Rastgoo A (2017) Influence of carbon nanotubes on the buckling of microtubule bundles in viscoelastic cytoplasm using nonlocal strain gradient theory. Results Phys 7:1367–1375

    Google Scholar 

  49. Mohammadimehr M, Navi BR, Arani AG (2017) Dynamic stability of modified strain gradient theory sinusoidal viscoelastic piezoelectric polymeric functionally graded single-walled carbon nanotubes reinforced nanocomposite plate considering surface stress and agglomeration effects under hydro-thermo-electro-magneto-mechanical loadings. Mech Adv Mater Struct 24(16):1325–1342

    Google Scholar 

  50. Mohammadimehr M, Mehrabi M, Hadizadeh H, Hadizadeh H (2018) Surface and size dependent effects on static, buckling, and vibration of micro composite beam under thermo-magnetic fields based on strain gradient theory. Steel Compos Struct 26(4):513–531

    Google Scholar 

  51. Mohammadimehr M, Mehrabi M (2018) Electro-thermo-mechanical vibration and stability analyses of double-bonded micro composite sandwich piezoelectric tubes conveying fluid flow. Appl Math Model 60:255–272

    MathSciNet  MATH  Google Scholar 

  52. Gao N, Cheng B, Hou H, Zhang R (2018) Mesophase pitch based carbon foams as sound absorbers. Mater Lett 212:243–246

    Google Scholar 

  53. Gao N, Hou H, Cheng B, Zhang R (2018) A hollow inclusion self-similarity phononic crystal with an ultra-low-frequency bandgap. Int J Mod Phys B 32(02):1850005

    Google Scholar 

  54. Gao N, Wu JH, Yu L, Hou H (2016) Ultralow frequency acoustic bandgap and vibration energy recovery in tetragonal folding beam phononic crystal. Int J Mod Phys B 30(18):1650111

    Google Scholar 

  55. Cao B, Zhao J, Lv Z, Gu Y, Yang P, Halgamuge SK (2020) Multiobjective evolution of fuzzy rough neural network via distributed parallelism for stock prediction. IEEE Trans Fuzzy Syst 28(5):939–952

    Google Scholar 

  56. Zhao C, Li J (2020) Equilibrium selection under the Bayes-based strategy updating rules. Symmetry 12(5):739

    Google Scholar 

  57. Zhu X, Lu Z, Wang Z, Xue L, Ebrahimi-Mamaghani A (2020) Vibration of spinning functionally graded nanotubes conveying fluid. Eng Comput. https://doi.org/10.1007/s00366-020-01123-7

    Article  Google Scholar 

  58. Sarparast H, Ebrahimi-Mamaghani A (2019) Vibrations of laminated deep curved beams under moving loads. Compos Struct 226:111262. https://doi.org/10.1016/j.compstruct.2019.111262

    Article  Google Scholar 

  59. Ebrahimi-Mamaghani A, Sarparast H, Rezaei M (2020) On the vibrations of axially graded Rayleigh beams under a moving load. Appl Math Model 84:554–570. https://doi.org/10.1016/j.apm.2020.04.002

    Article  MathSciNet  MATH  Google Scholar 

  60. Ilkhani MR, Nazemnezhad R, Hosseini-Hashemi S (2019) Small scale and spin effects on free transverse vibration of size-dependent nano-scale beams. J Braz Soc Mech Sci Eng 41(11):511

    Google Scholar 

  61. Shafiei N, Ghadiri M, Mahinzare M (2019) Flapwise bending vibration analysis of rotary tapered functionally graded nanobeam in thermal environment. Mech Adv Mater Struct 26(2):139–155

    Google Scholar 

  62. Atanasov MS, Stojanović V (2020) Nonlocal forced vibrations of rotating cantilever nano-beams. Eur J Mech A/Solids 79:103850

    MathSciNet  MATH  Google Scholar 

  63. Azimi M, Mirjavadi SS, Shafiei N, Hamouda A, Davari E (2018) Vibration of rotating functionally graded Timoshenko nano-beams with nonlinear thermal distribution. Mech Adv Mater Struct 25(6):467–480

    Google Scholar 

  64. Ghadiri M, Hosseini S, Shafiei N (2016) A power series for vibration of a rotating nanobeam with considering thermal effect. Mech Adv Mater Struct 23(12):1414–1420

    Google Scholar 

  65. Shafiei N, Hamisi M, Ghadiri M (2020) Vibration analysis of rotary tapered axially functionally graded Timoshenko nanobeam in thermal environment. J Solid Mech 12(1):16–32

    Google Scholar 

  66. Chen H, Zhang G, Fan D, Fang L, Huang L (2020) Nonlinear lamb wave analysis for microdefect identification in mechanical structural health assessment. Measurement:108026

  67. Lv X, McCabe S (2020) Expanding theory of tourists’ destination loyalty: the role of sensory impressions. Tour Manag 77:104026

    Google Scholar 

  68. Lv X, Li N, Xu X, Yang Y (2020) Understanding the emergence and development of online travel agencies: a dynamic evaluation and simulation approach. Internet Res. https://doi.org/10.1108/INTR-11-2019-0464

    Article  Google Scholar 

  69. Lv X, Li H, Xia L (2020) Effects of haptic cues on consumers’ online hotel booking decisions: the mediating role of mental imagery. Tour Manag 77:104025

    Google Scholar 

  70. Yang L et al (2020b) Microstructure and composition evolution of a single-crystal superalloy caused by elements interdiffusion with an overlay NiCrAlY coating on oxidation. J Mater Sci Technol 45:49–58

    Google Scholar 

  71. Nik AS, Bahari A, Amiri B (2011) Nanostructural properties of cement–matrix composite. J Basic Appl Sci Res 11:2167–2173

    Google Scholar 

  72. Nik AS, Bahari A, Khalilpasha M, Sadeghi Nik A (2012) Nanotechnology coating of buildings with sol-gel method. In: AIP conference proceedings, 2012: American Institute of Physics, Ste. 1 No 1 Melville NY 11747–4502

  73. Yu X et al (2019) Photocatalytic degradation of ciprofloxacin using Zn-doped Cu2O particles: analysis of degradation pathways and intermediates. Chem Eng J 374:316–327

    Google Scholar 

  74. Liu J, Xu E, Jiang J, Huang Z, Zheng L, Liu Z-Q (2020) Copper-mediated tandem ring-opening/cyclization reactions of cyclopropanols with aryldiazonium salts: synthesis of N-arylpyrazoles. Chem Commun 56(14):2202–2205

    Google Scholar 

  75. Wen D, Zhang X, Liu X, Lei J (2017) Evaluating the consistency of current mainstream wearable devices in health monitoring: a comparison under free-living conditions. J Med Internet Res 19(3):e68

    Google Scholar 

  76. Xie J, Wen D, Liang L, Jia Y, Gao L, Lei J (2018) Evaluating the validity of current mainstream wearable devices in fitness tracking under various physical activities: comparative study. JMIR mHealth uHealth 6(4):e94

    Google Scholar 

  77. Ren J, Zhang C, Hao Q (2020) A theoretical method to evaluate honeynet potency. Future Gen Comput Syst. https://doi.org/10.1016/j.future.2020.08.021

    Article  Google Scholar 

  78. Ebrahimi-Mamaghani A, Sotudeh-Gharebagh R, Zarghami R, Mostoufi N (2019) Dynamics of two-phase flow in vertical pipes. J Fluids Struct 87:150–173. https://doi.org/10.1016/j.jfluidstructs.2019.03.010

    Article  Google Scholar 

  79. Abdelmalek Z, Karbon M, Eyvazian A, Forooghi A, Safarpour H, Tlili I (2020) On the dynamics of a curved microtubule-associated proteins by considering viscoelastic properties of the living biological cells. J Biomol Struct Dyn. https://doi.org/10.1080/07391102.2020.1747549

    Article  Google Scholar 

  80. Zheng F, Lu Y, Ebrahimi-Mamaghani A (2020) Dynamical stability of embedded spinning axially graded micro and nanotubes conveying fluid. Waves Random Complex Media. https://doi.org/10.1080/17455030.2020.1821935

    Article  Google Scholar 

  81. Amlashi AT, Alidoust P, Ghanizadeh AR, Khabiri S, Pazhouhi M, Monabati MS (2020) Application of computational intelligence and statistical approaches for auto-estimating the compressive strength of plastic concrete. Eur J Environ Civ Eng. https://doi.org/10.1080/19648189.2020.1803144

    Article  Google Scholar 

  82. Zuo C, Sun J, Li J, Asundi A, Chen Q (2020) Wide-field high-resolution 3d microscopy with fourier ptychographic diffraction tomography. Opt Lasers Eng 128:106003

    Google Scholar 

  83. Zuo C et al (2020) Transport of intensity equation: a tutorial. Opt Lasers Eng 135:106187. https://doi.org/10.1016/j.optlaseng.2020.106187

    Article  Google Scholar 

  84. Zuo C, Chen Q, Tian L, Waller L, Asundi A (2015) Transport of intensity phase retrieval and computational imaging for partially coherent fields: the phase space perspective. Opt Lasers Eng 71:20–32

    Google Scholar 

  85. Zuo C, Sun J, Li J, Zhang J, Asundi A, Chen Q (2017) High-resolution transport-of-intensity quantitative phase microscopy with annular illumination. Sci Rep 7(1):1–22

    Google Scholar 

  86. Shi K, Wang J, Tang Y, Zhong S (2020) Reliable asynchronous sampled-data filtering of T-S fuzzy uncertain delayed neural networks with stochastic switched topologies. Fuzzy Sets Syst 381:1–25

    MathSciNet  MATH  Google Scholar 

  87. Liu J, Wu C, Wu G, Wang X (2015) A novel differential search algorithm and applications for structure design. Appl Math Comput 268:246–269

    MATH  Google Scholar 

  88. Amlashi AT, Alidoust P, Pazhouhi M, Niavol KP, Khabiri S, Ghanizadeha AR (2020) AI-based formulation for mechanical and workability properties of eco-friendly concrete made by waste foundry sand. J Mater Civ Eng. https://doi.org/10.1061/(ASCE)MT.1943-5533.0003645

    Article  Google Scholar 

  89. Liu J, Li C, Yang C, Shen J, Xie F (2017) Dynamical responses and stabilities of axially moving nanoscale beams with time-dependent velocity using a nonlocal stress gradient theory. J Vib Control 23(20):3327–3344

    MathSciNet  Google Scholar 

  90. Wang J, Shen H, Zhang B, Liu J, Zhang Y (2018) Complex modal analysis of transverse free vibrations for axially moving nanobeams based on the nonlocal strain gradient theory. Phys E 101:85–93

    Google Scholar 

  91. Wang Y, Lou Z, Huang K, Zhu X (2018) Size-dependent free vibration of axially moving nanobeams using Eringen’s two-phase integral model. Appl Sci 8(12):2552

    Google Scholar 

  92. Rezaee M, Lotfan S (2015) Non-linear nonlocal vibration and stability analysis of axially moving nanoscale beams with time-dependent velocity. Int J Mech Sci 96:36–46

    Google Scholar 

  93. Kiani K (2013) Longitudinal, transverse, and torsional vibrations and stabilities of axially moving single-walled carbon nanotubes. Curr Appl Phys 13(8):1651–1660

    Google Scholar 

  94. Guo S, He Y, Liu D, Lei J, Li Z (2018) Dynamic transverse vibration characteristics and vibro-buckling analyses of axially moving and rotating nanobeams based on nonlocal strain gradient theory. Microsyst Technol 24(2):963–977

    Google Scholar 

  95. Li C (2017) Nonlocal thermo-electro-mechanical coupling vibrations of axially moving piezoelectric nanobeams. Mech Based Design Struct Mach 45(4):463–478

    Google Scholar 

  96. Kiani K (2014) Longitudinal and transverse instabilities of moving nanoscale beam-like structures made of functionally graded materials. Compos Struct 107:610–619

    Google Scholar 

  97. Wang J, Shen H (2019) Nonlinear vibrations of axially moving simply supported viscoelastic nanobeams based on nonlocal strain gradient theory. J Phys Condens Matter 31(48):485403

    Google Scholar 

  98. Singh V, Gu N, Wang X (2011) A theoretical framework of a BIM-based multi-disciplinary collaboration platform. Autom Constr 20(2):134–144

    Google Scholar 

  99. Long Q, Wu C, Wang X (2015) A system of nonsmooth equations solver based upon subgradient method. Appl Math Comput 251:284–299

    MathSciNet  MATH  Google Scholar 

  100. J. Zhu, Q. Shi, P. Wu, Z. Sheng, and X. Wang, Complexity analysis of prefabrication contractors’ dynamic price competition in mega projects with different competition strategies. Complexity, vol. 2018, 2018.

  101. Ni T et al (2019) Non-intrusive online distributed pulse shrinking based interconnect testing in 2.5 D IC. IEEE Trans Circuits Syst II Express. Briefs. https://doi.org/10.1109/TCSII.2019.2962824

    Article  Google Scholar 

  102. Abedini M et al (2020) Large deflection behavior effect in reinforced concrete columns exposed to extreme dynamic loads. Front Struct Civil Eng 14(2):532–553

    MathSciNet  Google Scholar 

  103. Shariati M et al (2020) A novel approach to predict shear strength of tilted angle connectors using artificial intelligence techniques. Eng Comput. https://doi.org/10.1007/s00366-019-00930-x

    Article  Google Scholar 

  104. Shariati A, Ebrahimi F, Hosseini SHS, Toghroli A, Bayrami SS (2020) On the nonlinear dynamics of viscoelastic graphene sheets conveying nanoflow: parametric excitation analysis. Mech Based Des Struct Mach. https://doi.org/10.1080/15397734.2020.1728544

    Article  Google Scholar 

  105. Zhu K, Chung J (2019) Vibration and stability analysis of a simply-supported Rayleigh beam with spinning and axial motions. Appl Math Model 66:362–382

    MathSciNet  MATH  Google Scholar 

  106. Yang X-D, Yang J-H, Qian Y-J, Zhang W, Melnik RV (2018) Dynamics of a beam with both axial moving and spinning motion: an example of bi-gyroscopic continua. Eur J Mech A/Solids 69:231–237

    MathSciNet  MATH  Google Scholar 

  107. Li X, Qin Y, Li Y, Zhao X (2018) The coupled vibration characteristics of a spinning and axially moving composite thin-walled beam. Mech Adv Mater Struct 25(9):722–731

    Google Scholar 

  108. Sahebkar S, Ghazavi M, Khadem S, Ghayesh M (2011) Nonlinear vibration analysis of an axially moving drillstring system with time dependent axial load and axial velocity in inclined well. Mech Mach Theory 46(5):743–760

    MATH  Google Scholar 

  109. Ghayesh MH, Ghazavi MR, Khadem SE (2010) Non-linear vibration and stability analysis of an axially moving rotor in sub-critical transporting speed range. Struct Eng Mech 34(4):507–523

    Google Scholar 

  110. Liang F, Yang X-D, Qian Y-J, Zhang W (2018) Transverse free vibration and stability analysis of spinning pipes conveying fluid. Int J Mech Sci 137:195–204

    Google Scholar 

  111. Li X, Li L, Hu Y, Ding Z, Deng W (2017) Bending, buckling and vibration of axially functionally graded beams based on nonlocal strain gradient theory. Compos Struct 165:250–265

    Google Scholar 

  112. Esfahani S, Esmaeilzade Khadem S, Ebrahimi Mamaghani A (2019) Size-dependent nonlinear vibration of an electrostatic nanobeam actuator considering surface effects and inter-molecular interactions. Int J Mech Mater Des 15(3):489–505. https://doi.org/10.1007/s10999-018-9424-7

    Article  Google Scholar 

  113. Barati MR, Faleh NM, Zenkour AM (2019) Dynamic response of nanobeams subjected to moving nanoparticles and hygro-thermal environments based on nonlocal strain gradient theory. Mech Adv Mater Struct 26(19):1661–1669

    Google Scholar 

  114. Hamed Mirtalebi S, Ebrahimi-Mamaghani A, Taghi Ahmadian M (2019) Vibration control and manufacturing of intelligibly designed axially functionally graded cantilevered macro/micro-tubes. IFAC-PapersOnLine 52(10):382–387. https://doi.org/10.1016/j.ifacol.2019.10.061

    Article  Google Scholar 

  115. Sarparast H, Ebrahimi-Mamaghani A, Safarpour M, Ouakad HM, Dimitri R, Tornabene F (2020) Nonlocal study of the vibration and stability response of small-scale axially moving supported beams on viscoelastic-Pasternak foundation in a hygro-thermal environment. Math Methods Appl Sci. https://doi.org/10.1002/mma.6859

    Article  Google Scholar 

  116. Ebrahimi Mamaghani A, Esmaeilzade Khadem S, Bab S, Mehrdad Pourkiaee S (2018) Irreversible passive energy transfer of an immersed beam subjected to a sinusoidal flow via local nonlinear attachment. Int J Mech Sci 138–139:427–447. https://doi.org/10.1016/j.ijmecsci.2018.02.032

    Article  Google Scholar 

  117. Lu P, Lee H, Lu C, Zhang P (2006) Dynamic properties of flexural beams using a nonlocal elasticity model. J Appl Phys 99(7):073510

    Google Scholar 

  118. Valiollahi A, Shojaeifard M, Baghani M (2019a) Closed form solutions for large deformation of cylinders under combined extension-torsion. Int J Mech Sci 157:336–347

    Google Scholar 

  119. Valiollahi A, Shojaeifard M, Baghani M (2019b) Implementing stretch-based strain energy functions in large coupled axial and torsional deformations of functionally graded cylinder. Int J Appl Mech 11(04):1950039

    Google Scholar 

  120. Sahlabadi M, Valiollahi A, Konh B, Soltani N (2017) Evaluating J-integral and Q parameter in high-density polyethylene using a combined experimental finite element method. Fatigue Fract Eng Mater Struct 40(6):924–938

    Google Scholar 

  121. Lancaster P (2013) Stability of linear gyroscopic systems: A review. Linear Algebra Appl 439(3):686–706

    MathSciNet  MATH  Google Scholar 

Download references

Acknowledgements

This paper is supported by Shaanxi Innovation Capability Support Plan (Grant: 2020PT-027) of Shaanxi Provincial Key Research and Development Program.

Author information

Authors and Affiliations

  1. School of Mechatronic Engineering, Xi’an Technological University, Xi’an, 710021, China

    Yu Bai & Yan Cao

  2. Department of Civil Engineering, Faculty of Engineering, University of Malaya, 50603, Kuala Lumpur, Malaysia

    Meldi Suhatril

  3. Department of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran

    Ali Forooghi

  4. Institute of Research and Development, Duy Tan University, Da Nang, 550000, Vietnam

    Hamid Assilzadeh

Authors
  1. Yu Bai
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Meldi Suhatril
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yan Cao
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Ali Forooghi
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Hamid Assilzadeh
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Ali Forooghi or Hamid Assilzadeh.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bai, Y., Suhatril, M., Cao, Y. et al. Hygro–thermo–magnetically induced vibration of nanobeams with simultaneous axial and spinning motions based on nonlocal strain gradient theory. Engineering with Computers 38, 2509–2526 (2022). https://doi.org/10.1007/s00366-020-01218-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00366-020-01218-1

Keywords

Search

Navigation