Skip to main content
Log in

Optimal design of functionally graded PmPV/CNT nanocomposite cylindrical tube for purpose of torque transmission

  • Published:
Journal of Central South University Aims and scope Submit manuscript

Abstract

Carbon nanotube (CNT)/polymer nanocomposites have vast application in industry because of their light mass and high strength. In this work, a cylindrical tube which is made up of functionally graded (FG) PmPV/CNT nanocomposite, is optimally designed for the purpose of torque transmission. The main confining parameters of a rotating shaft in torque transmission process are mass of the shaft, critical speed of rotation and critical buckling torque. It is required to solve a multi-objective optimization problem (MOP) to consider these three targets simultaneously in the process of design. The three-objective optimization problem for this case is defined and solved using a hybrid method of FEM and modified non-dominated sorting genetic algorithm (NSGA-II), by coupling two softwares, MATLAB and ABAQUS. Optimization process provides a set of non-dominated optimal design vectors. Then, two methods, nearest to ideal point (NIP) and technique for ordering preferences by similarity to ideal solution (TOPSIS), are employed to choose trade-off optimum design vectors. Optimum parameters that are obtained from this work are compared with the results of previous studies for similar cylindrical tubes made from composite or a hybrid of aluminum and composite that more than 20% improvement is observed in all of the objective functions.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. SALAHIFAR R, MOHAREB M. Analysis of circular cylindrical tubes under harmonic forces [J]. Thin Walled Structures, 2010, 48: 528–539.

    Article  Google Scholar 

  2. MALEKZADE P, HEYDARPOUR Y. Free vibration analysis of rotating functionally graded cylindrical tubes in thermal environment [J]. Composite Structures, 2012, 94: 2971–2981.

    Article  Google Scholar 

  3. IJIMA S. Helical microtubules of graphitic carbon [J]. Nature, 1991, 354: 56–58.

    Article  Google Scholar 

  4. JOSHI U A, SATISH S C, HARSHA S P. Effect of carbon nanotube orientation on the mechanical properties of nanocomposites [J]. Composites Part B: Engineering, 2012, 43: 2063–2071.

    Article  Google Scholar 

  5. TAI Le-minh, HUANG Shyh-chour. Modeling and analysis the effect of helical carbon nanotube morphology on the mechanical properties of nanocomposites using hexagonal representative volume element [J]. Applied Mechanics and Materials, 2014, 577.

    Google Scholar 

  6. Nima, Nouri, et al. Fabrication and mechanical property prediction of carbon nanotube reinforced aluminum nanocomposites [J]. Materials & Design, 2012, 34: 1–14.

    Article  Google Scholar 

  7. PING Z, 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 [J]. Composite Structures, 2012, 94: 1450–1460.

    Article  Google Scholar 

  8. SADOLLAH E, RAFII-TABAR H. Influence of hydrogen functionalization on mechanical properties of graphene and CNT reinforced in chitosan biological polymer: Multi-scale computational modeling [J]. Computational Materials Science, 2015, 101: 189–193.

    Article  Google Scholar 

  9. LOY C T, LAM K Y, REDDY J N. Vibration of functionally graded cylindrical tube [J]. International Journal of Mechanical Science, 1999, 41: 309–324.

    Article  MATH  Google Scholar 

  10. PRADHAN S C, LOY C T, LAM K M, REDDY J N. Vibration characteristics of functionally graded cylindrical tubes under various boundary conditions [J]. 2000, 61: 111–129.

    Google Scholar 

  11. SHOKRIEH M, HASANI A, LESSARD L B. Shear buckling of a composite drive shaft under torsion [J]. Composite Structures, 2004, 64(10): 63–69.

    Article  Google Scholar 

  12. MORADI R, FOROUTAN M, POURASGHAR A. Dynamic analysis of functionally graded nanocomposite cylinders reinforced by carbon nanotubes by a meshfree method [J]. Materials and Design, 2013, 44: 256–266.

    Article  Google Scholar 

  13. DEB K, AGRAWAL S, PRATAP A, MEYARIVAN T. A fast and elitist multi-objective genetic algorithm: NSGA-II [J]. IEEE Trans on Evolutionary Computation, 2002, 61: 182–197.

    Article  Google Scholar 

  14. JAMALI A, NARIMAN-ZADEH N, DARVIZEH A, MASOUMI A, HAMRANG S. Multi-objective evolutionary optimization of polynomial neural networks for modeling and prediction of explosive cutting process [J]. Intemation Journal of Engineering Applications of Artificial Intelligence, 2009, 22: 676–687.

    Article  Google Scholar 

  15. KHALKHALI A, NARIMAN-ZADEH N, DARVIZEH A, MASOUMI A, NOTGHI B. Reliability-based robust multi-objective crashworthiness optimization of s-shaped box beams with parametric uncertainties [J]. Int Journal of Crashworthiness, 2010, 15: 443–456.

    Article  Google Scholar 

  16. KHALKHALI A, SAFIKHANI H. Pareto based multi-objective optimization of cyclone vortex finder using CFD, GMDH type neural networks and genetic algorithm [J]. Engineering Optimization, 2012, 44.

    Google Scholar 

  17. KHAKSHOURNIA S H. Multi-objective optimization of carbon nanotube reinforced nanocomposite shaft [D]. Tehran, Iran: Automotive Engineering School, Iran University of Science and Technology, 2013.

    Google Scholar 

  18. HERNANDEZ-PEREZ A, AVILES F. Modeling the influence of interphase on the elastic properties of carbon nanotube composites [J]. Computational Materials and Science, 2010, 47: 926–933.

    Article  Google Scholar 

  19. ZHU P, LEI Z, LIEW K. Static and free vibration analysis of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory [J]. Composite Structures, 2010, 94: 1450–1460.

    Article  Google Scholar 

  20. HAN Y, ELLIOTTE J. Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites [J]. Computational Material Science, 2007, 39: 315–325.

    Article  Google Scholar 

  21. BADIEH M A, MAHDI E, HAMOUDA A M S. An investigation into hybrid carbon/glass fiber reinforced epoxy composite automotive drive shaft [J]. Materials and Designs, 2011, 32: 1485–1500.

    Article  Google Scholar 

  22. KHALKHALI A, NIKGHALB E, NOROUZIAN M. Multi-objective optimization of hybrid carbon/glass fiber reinforced epoxy composite automotive drive shaft [J]. International Journal of Engineering, 2015, 28(4): 583–592.

    Google Scholar 

  23. PELLETIER J L, SENTHIL S. Multi-objective optimization of fiber reinforced composite laminates for strength, stiffnrss and minimal mass [J]. Computer & Structures, 2006, 184: 2065–2080.

    Article  Google Scholar 

  24. KHALKHALI A, FARAJPOOR M, SAFIKHANI H. Modeling and Multi-objective optimization of forward-curved blades centrifugal fans using CFD and neural networks [J]. Transactions of Canadian Society for Mechanical Engineering, 2011, 35(1).

    Google Scholar 

  25. NARIMAN-ZADEH N, SALEHPOUR M, JAMALI A, HAGHLOO E. Pareto optimization of a five-degree of freedom vehicle vibration model using a multi-objective uniform-diversity genetic algorithm (MUGA) [J]. Engineering Applications of Artificial Intelligence, 2011, 23: 543–551.

    Article  Google Scholar 

  26. KHALKHALI A, KHAKSHOURNIA S, NARIMAN-ZADEH N. A hybrid method of FEM, modified NSGA II and TOPSIS for structural optimization of sandwich panels with corrugated core [J]. Journal of Sandwich Structures & Materials, 2014, 16: 583–592.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Abolfazl Khalkhali.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Khalkhali, A., Khakshournia, S. & Saberi, P. Optimal design of functionally graded PmPV/CNT nanocomposite cylindrical tube for purpose of torque transmission. J. Cent. South Univ. 23, 362–369 (2016). https://doi.org/10.1007/s11771-016-3081-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11771-016-3081-5

Keywords

Navigation