Skip to main content
SpringerLink
Log in

Vibration Suppression of Cantilever Laminated Composite Plate with Nonlinear Giant Magnetostrictive Material Layers

  • Published:
Acta Mechanica Solida Sinica Aims and scope Submit manuscript

Abstract

In this paper, a nonlinear and coupled constitutive model for giant magnetostrictive materials (GMM) is employed to predict the active vibration suppression process of cantilever laminated composite plate with GMM layers. The nonlinear and coupled constitutive model has great advantages in demonstrating the inherent and complicated nonlinearities of GMM in response to applied magnetic field under variable bias conditions (pre-stress and bias magnetic field). The Hamilton principle is used to derive the nonlinear and coupled governing differential equation for a cantilever laminated composite plate with GMM layers. The derived equation is handled by the finite element method (FEM) in space domain, and solved with Newmark method and an iteration process in time domain. The numerical simulation results indicate that the proposed active control system by embedding GMM layers in cantilever laminated composite plate can efficiently suppress vibrations under variable bias conditions. The effects of embedded placement of GMM layers and control gain on vibration suppression are discussed respectively in detail.

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

Similar content being viewed by others

References

  1. Ralph, C.F., James, R.D., Dariusz, A.B., Vijay, G. and Norman, D.H., Terfenol-D driven flaps for helicopter vibration reduction. Smart Materials and Structures, 1996, 5(1): 49–57.

    Article  Google Scholar 

  2. Yoshiya, N., Masanao, N., Keiji, M., Kiyoshhi, T., Masashi, Y. and Takafumi, F., Development of active six-degrees-of-freedom microvibration control system using giant magnetostrictive actuators. Smart Materials and Structures, 2000, 9(2): 175–185.

    Article  Google Scholar 

  3. John, S., Sirohi, J., Wang, G. and Wereley, N.M., Comparison of piezeoelectric, magnetostrictive, and electrostrictive hybrid hydraulic actuators. Journal of Intelligent Material System and Structures, 2007, 18(10): 1035–1048.

    Article  Google Scholar 

  4. Krishna Murty, A.V., Anjanappa, M. and Wu, Y.F., The use of magnetostrictive particle actuators for vibration attenuation of flexible beams. Journal of Sound and Vibration, 1997, 206(2): 133–149.

    Article  Google Scholar 

  5. Reddy, J.N. and Barbosa, J.I., On vibration suppression of magnetostrictive beams. Smart Materials and Structures, 2000, 9(1): 49–58.

    Article  Google Scholar 

  6. Subramanian, P., Vibration suppression of symmetric laminated composite beams. Smart Materials and Structures, 2002, 11(6): 880–885.

    Article  Google Scholar 

  7. Kumar, J.S., Ganesan, N., Swarnamani, S. and Padmanabhan, C., Active control of beam with magnetostrictive layer. Computers and Structures, 2003, 81(13): 1375–1382.

    Article  Google Scholar 

  8. Kumar, J.S., Ganesan, N., Swarnamani, S. and Padmanabhan, C., Active control of simply supported plates with a magnetostrictive layer. Smart Materials and Structures, 2004, 13(3): 487–492.

    Article  Google Scholar 

  9. Pradhan, S.C., Ng, T.Y., Lam, K.Y. and Reddy, J.N., Control of laminated composite plates using magnetostrictive layers. Smart Materials and Structures, 2001, 10(4): 657–667.

    Article  Google Scholar 

  10. Ghosh, D.P. and Gopalakrishnan, Coupled analysis of composite laminate with embedded magnetostrictive patches. Smart Materials and Structures, 2005, 14(6): 1462–1473.

    Article  Google Scholar 

  11. Dapino, M.J., Flatau, A.B. and Calkins, F.T., Statistical analysis of Terfenol-D materials properties. Journal of Intelligent Material System and Structures, 2006, 17(7): 587–599.

    Article  Google Scholar 

  12. Flatau, A.B., Dapino, M.J. and Calkins, F.T., High bandwidth tenability in a smart vibration absorber. Journal of Intelligent Material System and Structures, 2000, 11(12): 923–929.

    Article  Google Scholar 

  13. Zheng, X.J. and Liu, X.E., A nonlinear constitutive model for Terfenol-D rods. Journal of Applied Physics, 2005, 97(5): 053901.

    Article  Google Scholar 

  14. Sun, L. and Zheng, X.J., Numerical simulation on coupling behavior of Terfenol-D rods. International Journal of Solids and Structures, 2006, 43(6): 1613–1623.

    Article  Google Scholar 

  15. Zhou, H.M., Zheng, X.J. and Zhou, Y.H., Active vibration control of nonlinear giant magnetostrictive actuators. Smart Materials and Structures, 2006, 15(3): 792–798.

    Article  Google Scholar 

  16. Zhou, H.M. and Zhou, Y.H., Vibration suppression of laminated composite beams using actuators of giant magnetostrictive materials. Smart Materials and Structures, 2007, 16(1): 198–206.

    Article  Google Scholar 

  17. Laszlo, P.K. and George, S.S., Mechanics of Composite Structures. New York: Cambridge University Press, 2003.

    Google Scholar 

  18. Wang, X.C., Finite Element Method. Beijing: Tsinghua University Press, 2003.

    Google Scholar 

  19. Chang, Shuenn-Yih, Studies of newmark method for solving nonlinear systems: (I) basic analysis. Journal of the Chinese Institute of Engineers, 2004, 27(5): 651–662.

    Article  Google Scholar 

  20. Chang, Shuenn-Yih, Studies of Newmark method for solving nonlinear systems: (II) verification and guideline. Journal of the Chinese Institute of Engineers, 2004, 27(5): 663–675.

    Article  Google Scholar 

  21. Zheng, X.J., Zhou, Y.H. and Miya, K., An analysis of variable magnetic damping of a cantilever beam-plate with end coils in transverse magnetic fields. Fusion Engineering & Design, 2001, 55(4): 457–465.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Key Laboratory of Mechanics on Disaster and Environment in Western China, the Ministry of Education of China, Lanzhou University, 730000, Lanzhou, China

    Yongfei Zhang & Youhe Zhou

  2. Department of Mechanics and Engineering Sciences, College of Civil Engineering and Mechanics, Lanzhou University, 730000, Lanzhou, China

    Yongfei Zhang & Youhe Zhou

  3. College of Information Engineering, China Jiliang University, 310018, Hangzhou, China

    Haomiao Zhou

Authors
  1. Yongfei Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Haomiao Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Youhe Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Youhe Zhou.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 10972094, 11032006, 11172285, 11121202 and 11202087), the Fundamental Research Funds for the Central Universities (lzujbky-2011-6) and the Specialized Research Fund for the Doctoral Program of Higher Education under Grant 20110211120027 and the Zhejiang Provincial Natural Science Foundation of China (No. LR13A020002).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, Y., Zhou, H. & Zhou, Y. Vibration Suppression of Cantilever Laminated Composite Plate with Nonlinear Giant Magnetostrictive Material Layers. Acta Mech. Solida Sin. 28, 50–61 (2015). https://doi.org/10.1016/S0894-9166(15)60015-5

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1016/S0894-9166(15)60015-5

Key Words

Search

Navigation