Research Article
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Year 2020, Volume: 4 Issue: 3, 180 - 190, 15.12.2020
https://doi.org/10.35860/iarej.750166

Abstract

References

  • 1. Webster, Aaron, Frank Vollmer, and Yuki Sato. Probing biomechanical properties with a centrifugal force quartz crystal microbalance. Nature communications, 2014. 5(1): p. 1-8.
  • 2. Lu, Ze-Qi, Kai-Kai Zhang, Hu Ding, and Li-Qun Chen. Internal resonance and stress distribution of pipes conveying fluid in supercritical regime. International Journal of Mechanical Sciences, 2020. 186 (2020): 105900.
  • 3. Ge, Xinbo, Yinping Li, Xilin Shi, Xiangsheng Chen, Hongling Ma, Chunhe Yang, Chang Shu, and Yuanxi Liu. Experimental device for the study of liquid–solid coupled flutter instability of salt cavern leaching tubing. Journal of Natural Gas Science and Engineering, 2019. 66: p. 168-179.
  • 4. Amabili, M., K. Karagiozis, M. P. Païdoussis. Effect of geometric imperfections on non-linear stability of circular cylindrical shells conveying fluid. International Journal of Non-Linear Mechanics, 2009. 44(3): p. 276-289.
  • 5. Liao-Liang, K. Wang, Y. Flow-induced vibration and instability of embedded double-walled carbon nanotubes based on a modified couple stress theory. Physica E: Low-dimensional Systems and Nanostructures, 2011. 43(5): 1031-1039.
  • 6. Sadeghi, M. Dynamics of cantilevered pipes conveying fluid. Part 3: Three-dimensional dynamics in the presence of an end-mass. Journal of Fluids and Structures, 2007. 23(4): p. 589-603.
  • 7. Ghayesh, Mergen H., Michael P. Païdoussis, M. Amabili. Nonlinear dynamics of cantilevered extensible pipes conveying fluid. Journal of Sound and Vibration, 2013. 332(24): 6405-6418.
  • 8. Farajpour, A. Nonlinear mechanics of nanotubes conveying fluid. International Journal of Engineering Science, 2018. 133: p. 132-143.
  • 9. Liang, F. Dynamical modeling and free vibration analysis of spinning pipes conveying fluid with axial deployment. Journal of Sound and Vibration, 2018. 417: p. 65-79.
  • 10. Lu, Ze-Qi. Nonlinear vibration effects on the fatigue life of fluid-conveying pipes composed of axially functionally graded materials. Nonlinear Dynamics, 2020. 100: p. 1091-1104.
  • 11. Mohammadi, N., H. Asadi, M. M. Aghdam. An efficient solver for fully coupled solution of interaction between incompressible fluid flow and nanocomposite truncated conical shells. Computer Methods in Applied Mechanics and Engineering, 2019. 351: p. 478-500.
  • 12. Ninh, D., Nguyen D. T. Investigation for electro-thermo-mechanical vibration of nanocomposite cylindrical shells with an internal fluid flow. Aerospace Science and Technology, 2019. 92: p. 501-519.
  • 13. Khudayarov, B. A., Kh M. Komilova, F. Zh Turaev. Numerical simulation of vibration of composite pipelines conveying fluids with account for lumped masses. International Journal of Pressure Vessels and Piping, 2020. 179: 104034.
  • 14. Sedighi, H.M. Divergence and flutter instability of magneto-thermo-elastic C-BN hetero-nanotubes conveying fluid. Acta Mechanica Sinica, 2020. 36(2): p. 381-396.
  • 15. Bahaadini, R., M. Hosseini, M. Amiri. Dynamic stability of viscoelastic nanotubes conveying pulsating magnetic nanoflow under magnetic field. Engineering with Computers, 2020. p. 1-13.
  • 16. Li, Q., Liu, W., Lu, K. and Yue, Z. Nonlinear Parametric Vibration of a Fluid-Conveying Pipe Flexibly Restrained at the Ends. Acta Mechanica Solida Sinica, 2019. 33(3): p. 327-346.
  • 17. Prince, Peter J., John R. Dormand. High order embedded Runge-Kutta formulae. Journal of Computational and Applied Mathematics,1981. 7(1): p. 67-75.
  • 18. Rahmani, M., A. Moslemi Petrudi. Analytical Investigation of the Vibrational and Dynamic Response of Nano-Composite Cylindrical Shell Under Thermal Shock and Mild Heat Field by DQM Method. Journal of Modeling and Simulation of Materials, 2020. 3(1): p. 22-36.
  • 19. Zhu, P., Lei, Z.X., Liew, K.M. Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory. Composite Structures, 2012. 94(4): p. 1450-1460.
  • 20. Morovvati, M. R., & Mollaei-Dariani, B. The formability investigation of CNT-reinforced aluminum nano-composite sheets manufactured by accumulative roll bonding. The International Journal of Advanced Manufacturing Technology, 2018. 95(9-12): 3523-3533.
  • 21. Benjamın, T.B. Dynamics of a system of articulated pipes conveying fluid. I. Theory. Proceedings of the Royal Society of London. Series A, 1961. 261: p. 457-486.
  • 22. Stoker, J. J. Nonlinear elasticity. Gordon,Breach, 1968.
  • 23. Gregory, R. W., and M. P. Paidoussis. Unstable oscillation of tubular cantilevers conveying fluid II. Experiments. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences,1966. 293(1435): p. 528-542.
  • 24. Wang, L., Z. Y. Liu, A. Abdelkefi, Y. K. Wang, and H. L. Dai. Nonlinear dynamics of cantilevered pipes conveying fluid: towards a further understanding of the effect of loose constraints. International Journal of Non-Linear Mechanics, 2017. 95: p. 19-29.

Nonlinear vibration and dynamic response of nano composite conical tube by conveying fluid flow

Year 2020, Volume: 4 Issue: 3, 180 - 190, 15.12.2020
https://doi.org/10.35860/iarej.750166

Abstract

Modeling of tubes containing fluid flow is widely used in the study of heat exchangers, nuclear reactors, micro and nano tools, etc. This system is structurally simple but very complex in terms of dynamic behavior and vibrations. In this paper, an analytical relationship for nonlinear vibrations of self-excitation of a nanocomposite conical tube containing fluid flow is extracted, one end of which is free and the other side is fixed and is under gravitational force. The base material is assumed to be 1200 series aluminum, which is reinforced with carbon nanotubes. The Hamiltonian equations are obtained, assuming the Euler–Bernoulli beam theory and the use of the Galerkin method, dissected the partial derivative equations into Ordinary Differential Equations (ODE), then solved by MATLAB coding and investigated the effect of various parameters on system behavior. As the fluid velocity increases, the amplitude of the vibration increases and the nonlinear effects of the system increase, so more modes are needed to converge the responses. In a conical tube, the βT coefficient increases with increasing inner diameter along the tube and the system becomes more stable. Increasing the length of the pipe makes the opening conical pipe more stable and the closing conical pipe more unstable. The change in length has no effect on the stability of the cylindrical tube.

References

  • 1. Webster, Aaron, Frank Vollmer, and Yuki Sato. Probing biomechanical properties with a centrifugal force quartz crystal microbalance. Nature communications, 2014. 5(1): p. 1-8.
  • 2. Lu, Ze-Qi, Kai-Kai Zhang, Hu Ding, and Li-Qun Chen. Internal resonance and stress distribution of pipes conveying fluid in supercritical regime. International Journal of Mechanical Sciences, 2020. 186 (2020): 105900.
  • 3. Ge, Xinbo, Yinping Li, Xilin Shi, Xiangsheng Chen, Hongling Ma, Chunhe Yang, Chang Shu, and Yuanxi Liu. Experimental device for the study of liquid–solid coupled flutter instability of salt cavern leaching tubing. Journal of Natural Gas Science and Engineering, 2019. 66: p. 168-179.
  • 4. Amabili, M., K. Karagiozis, M. P. Païdoussis. Effect of geometric imperfections on non-linear stability of circular cylindrical shells conveying fluid. International Journal of Non-Linear Mechanics, 2009. 44(3): p. 276-289.
  • 5. Liao-Liang, K. Wang, Y. Flow-induced vibration and instability of embedded double-walled carbon nanotubes based on a modified couple stress theory. Physica E: Low-dimensional Systems and Nanostructures, 2011. 43(5): 1031-1039.
  • 6. Sadeghi, M. Dynamics of cantilevered pipes conveying fluid. Part 3: Three-dimensional dynamics in the presence of an end-mass. Journal of Fluids and Structures, 2007. 23(4): p. 589-603.
  • 7. Ghayesh, Mergen H., Michael P. Païdoussis, M. Amabili. Nonlinear dynamics of cantilevered extensible pipes conveying fluid. Journal of Sound and Vibration, 2013. 332(24): 6405-6418.
  • 8. Farajpour, A. Nonlinear mechanics of nanotubes conveying fluid. International Journal of Engineering Science, 2018. 133: p. 132-143.
  • 9. Liang, F. Dynamical modeling and free vibration analysis of spinning pipes conveying fluid with axial deployment. Journal of Sound and Vibration, 2018. 417: p. 65-79.
  • 10. Lu, Ze-Qi. Nonlinear vibration effects on the fatigue life of fluid-conveying pipes composed of axially functionally graded materials. Nonlinear Dynamics, 2020. 100: p. 1091-1104.
  • 11. Mohammadi, N., H. Asadi, M. M. Aghdam. An efficient solver for fully coupled solution of interaction between incompressible fluid flow and nanocomposite truncated conical shells. Computer Methods in Applied Mechanics and Engineering, 2019. 351: p. 478-500.
  • 12. Ninh, D., Nguyen D. T. Investigation for electro-thermo-mechanical vibration of nanocomposite cylindrical shells with an internal fluid flow. Aerospace Science and Technology, 2019. 92: p. 501-519.
  • 13. Khudayarov, B. A., Kh M. Komilova, F. Zh Turaev. Numerical simulation of vibration of composite pipelines conveying fluids with account for lumped masses. International Journal of Pressure Vessels and Piping, 2020. 179: 104034.
  • 14. Sedighi, H.M. Divergence and flutter instability of magneto-thermo-elastic C-BN hetero-nanotubes conveying fluid. Acta Mechanica Sinica, 2020. 36(2): p. 381-396.
  • 15. Bahaadini, R., M. Hosseini, M. Amiri. Dynamic stability of viscoelastic nanotubes conveying pulsating magnetic nanoflow under magnetic field. Engineering with Computers, 2020. p. 1-13.
  • 16. Li, Q., Liu, W., Lu, K. and Yue, Z. Nonlinear Parametric Vibration of a Fluid-Conveying Pipe Flexibly Restrained at the Ends. Acta Mechanica Solida Sinica, 2019. 33(3): p. 327-346.
  • 17. Prince, Peter J., John R. Dormand. High order embedded Runge-Kutta formulae. Journal of Computational and Applied Mathematics,1981. 7(1): p. 67-75.
  • 18. Rahmani, M., A. Moslemi Petrudi. Analytical Investigation of the Vibrational and Dynamic Response of Nano-Composite Cylindrical Shell Under Thermal Shock and Mild Heat Field by DQM Method. Journal of Modeling and Simulation of Materials, 2020. 3(1): p. 22-36.
  • 19. Zhu, P., Lei, Z.X., Liew, K.M. Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory. Composite Structures, 2012. 94(4): p. 1450-1460.
  • 20. Morovvati, M. R., & Mollaei-Dariani, B. The formability investigation of CNT-reinforced aluminum nano-composite sheets manufactured by accumulative roll bonding. The International Journal of Advanced Manufacturing Technology, 2018. 95(9-12): 3523-3533.
  • 21. Benjamın, T.B. Dynamics of a system of articulated pipes conveying fluid. I. Theory. Proceedings of the Royal Society of London. Series A, 1961. 261: p. 457-486.
  • 22. Stoker, J. J. Nonlinear elasticity. Gordon,Breach, 1968.
  • 23. Gregory, R. W., and M. P. Paidoussis. Unstable oscillation of tubular cantilevers conveying fluid II. Experiments. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences,1966. 293(1435): p. 528-542.
  • 24. Wang, L., Z. Y. Liu, A. Abdelkefi, Y. K. Wang, and H. L. Dai. Nonlinear dynamics of cantilevered pipes conveying fluid: towards a further understanding of the effect of loose constraints. International Journal of Non-Linear Mechanics, 2017. 95: p. 19-29.
There are 24 citations in total.

Details

Primary Language English
Subjects Mechanical Engineering
Journal Section Research Articles
Authors

Masoud Rahmani 0000-0002-0519-0670

Amin Moslemi Petrudi 0000-0002-5928-0479

Publication Date December 15, 2020
Submission Date June 9, 2020
Acceptance Date July 29, 2020
Published in Issue Year 2020 Volume: 4 Issue: 3

Cite

APA Rahmani, M., & Moslemi Petrudi, A. (2020). Nonlinear vibration and dynamic response of nano composite conical tube by conveying fluid flow. International Advanced Researches and Engineering Journal, 4(3), 180-190. https://doi.org/10.35860/iarej.750166
AMA Rahmani M, Moslemi Petrudi A. Nonlinear vibration and dynamic response of nano composite conical tube by conveying fluid flow. Int. Adv. Res. Eng. J. December 2020;4(3):180-190. doi:10.35860/iarej.750166
Chicago Rahmani, Masoud, and Amin Moslemi Petrudi. “Nonlinear Vibration and Dynamic Response of Nano Composite Conical Tube by Conveying Fluid Flow”. International Advanced Researches and Engineering Journal 4, no. 3 (December 2020): 180-90. https://doi.org/10.35860/iarej.750166.
EndNote Rahmani M, Moslemi Petrudi A (December 1, 2020) Nonlinear vibration and dynamic response of nano composite conical tube by conveying fluid flow. International Advanced Researches and Engineering Journal 4 3 180–190.
IEEE M. Rahmani and A. Moslemi Petrudi, “Nonlinear vibration and dynamic response of nano composite conical tube by conveying fluid flow”, Int. Adv. Res. Eng. J., vol. 4, no. 3, pp. 180–190, 2020, doi: 10.35860/iarej.750166.
ISNAD Rahmani, Masoud - Moslemi Petrudi, Amin. “Nonlinear Vibration and Dynamic Response of Nano Composite Conical Tube by Conveying Fluid Flow”. International Advanced Researches and Engineering Journal 4/3 (December 2020), 180-190. https://doi.org/10.35860/iarej.750166.
JAMA Rahmani M, Moslemi Petrudi A. Nonlinear vibration and dynamic response of nano composite conical tube by conveying fluid flow. Int. Adv. Res. Eng. J. 2020;4:180–190.
MLA Rahmani, Masoud and Amin Moslemi Petrudi. “Nonlinear Vibration and Dynamic Response of Nano Composite Conical Tube by Conveying Fluid Flow”. International Advanced Researches and Engineering Journal, vol. 4, no. 3, 2020, pp. 180-9, doi:10.35860/iarej.750166.
Vancouver Rahmani M, Moslemi Petrudi A. Nonlinear vibration and dynamic response of nano composite conical tube by conveying fluid flow. Int. Adv. Res. Eng. J. 2020;4(3):180-9.



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