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Influence factors on natural frequencies of composite materials

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Abstract

Compared with traditional materials, composite materials have lower specific gravity, larger specific strength, larger specific modulus, and better designability structure and structural performance. However, the variability of structural properties hinders the control and prediction of the performance of composite materials. In this work, the Rayleigh-Ritz and orthogonal polynomial methods were used to derive the dynamic equations of composite materials and obtain the natural frequency expressions on the basis of the constitutive model of laminated composite materials. The correctness of the analytical model was verified by modal hammering and frequency sweep tests. On the basis of the established theoretical model, the influencing factors, including layers, thickness, and fiber angles, on the natural frequencies of laminated composites were analyzed. Furthermore, the coupling effects of layers, fiber angle, and lay-up sequence on the natural frequencies of composites were studied. Research results indicated that the proposed method could accurately and effectively analyze the influence of single and multiple factors on the natural frequencies of composite materials. Hence, this work provides a theoretical basis for preparing composite materials with different natural frequencies and meeting the requirements of different working conditions.

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References

  1. Guang M, Qu Y. Vibration and Acoustics of Composite Structures. Beijing: National Defense Industry Press, 2017 (in Chinese)

    Google Scholar 

  2. Gibson R F. Principles of Composite Material Mechanics. 4th ed. Boca Raton: CRC Press, 2016

    Book  Google Scholar 

  3. Newman G K, Shambaugh R L, Harwell J H. Method for forming a fibers/composite material having an anisotropic structure. US Patent 2007/0290397, 2007-12-20

  4. Norman M A M, Zainuddin M A, Mahmud J. The effect of various fiber orientations and boundary conditions on natural frequencies of laminated composite beam. International Journal of Engineering & Technology, 2018, 7(3.11): 67–71

    Article  Google Scholar 

  5. Imran M, Khan R, Badshah S. Finite element analysis to investigate the influence of delamination size, stacking sequence and boundary conditions on the vibration behavior of composite plate. Iranian Journal of Materials Science & Engineering, 2019, 16(1): 11–21

    Google Scholar 

  6. Taheri-Behrooz F, Pourahmadi E. A 3D RVE model with periodic boundary conditions to estimate mechanical properties of composites. Structural Engineering and Mechanics, 2019, 72(6): 713–722

    Google Scholar 

  7. Ghasemi A R, Taheri-Behrooz F, Farahani S M N, et al. Nonlinear free vibration of an Euler-Bernoulli composite beam undergoing finite strain subjected to different boundary conditions. Journal of Vibration and Control, 2016, 22(3): 799–811

    Article  MathSciNet  Google Scholar 

  8. Afsharmanesh B, Ghaheri A, Taheri-Behrooz F. Buckling and vibration of laminated composite circular plate on Winkler-type foundation. Steel and Composite Structures, 2014, 17(1): 1–19

    Article  Google Scholar 

  9. Ghaheri A, Keshmiri A, Taheri-Behrooz F. Buckling and vibration of symmetrically laminated composite elliptical plates on an elastic foundation subjected to uniform in-plane force. Journal of Engineering Mechanics, 2014, 140(7): 04014049

    Article  Google Scholar 

  10. Ananda Babu A, Vasudevan R. Vibration analysis of rotating delaminated non-uniform composite plates. Aerospace Science and Technology, 2017, 60: 172–182

    Article  Google Scholar 

  11. Khalid H M, Yasin M Y, Khan A H. Free vibration analysis of multilayered arches using a layerwise theory. IOP Conference Series: Materials Science and Engineering. International Conference on Mechanical, Materials and Renewable Energy, 2018, 377: 012168

    Google Scholar 

  12. Roque C M C, Martins P. Maximization of fundamental frequency of layered composites using differential evolution optimization. Composite Structures, 2018, 183: 77–83

    Article  Google Scholar 

  13. Mukhopadhyay T, Naskar S, Karsh P K, et al. Effect of delamination on the stochastic natural frequencies of composite laminates. Composites. Part B, Engineering, 2018, 154: 242–256

    Article  Google Scholar 

  14. Zhao J, Choe K, Shuai C, et al. Free vibration analysis of laminated composite elliptic cylinders with general boundary conditions. Composites. Part B, Engineering, 2019, 158: 55–66

    Article  Google Scholar 

  15. Xue Z C, Li Q H, Wang J F, et al. Vibration analysis of fiber reinforced composite laminated plates with arbitrary boundary conditions. Key Engineering Materials, 2019, 818: 104–112

    Article  Google Scholar 

  16. Singh B N, Yadav D, Iyengar N G R. Natural frequencies of composite plates with random material properties using higher-order shear deformation theory. International Journal of Mechanical Sciences, 2001, 43(10): 2193–2214

    Article  MATH  Google Scholar 

  17. Leissa A W, Martin A F. Vibration and buckling of rectangular composite plates with variable fiber spacing. Composite Structures, 1990, 14(4): 339–357

    Article  Google Scholar 

  18. Vigneshwaran K, Rajeshkumar G. Effect of matrix material on the free vibration characteristics of Phoenix sp. fiber reinforced polymer matrix composites. Materials Today: Proceedings, 2018, 5(5): 11227–11232

    Google Scholar 

  19. Cevik M. Effects of fiber orientation on out-of-plane and in-plane natural frequencies of angle-ply laminated composite arches. Journal of Reinforced Plastics and Composites, 2009, 28(1): 59–71

    Article  Google Scholar 

  20. Zhong B, Li C, Li P. Modeling and vibration analysis of sectional-laminated cylindrical thin shells with arbitrary boundary conditions. Applied Acoustics, 2020, 162: 107184

    Article  Google Scholar 

  21. Donadon B F, Mascia N T, Vilela R, et al. Experimental investigation of glued-laminated timber beams with Vectran-FRP reinforcement. Engineering Structures, 2020, 202: 109818

    Article  Google Scholar 

  22. Honda S, Narita Y. Natural frequencies and vibration modes of laminated composite plates reinforced with arbitrary curvilinear fiber shape paths. Journal of Sound and Vibration, 2012, 331(1): 180–191

    Article  Google Scholar 

  23. Narita Y. Layerwise optimization for the maximum fundamental frequency of laminated composite plates. Journal of Sound and Vibration, 2003, 263(5): 1005–1016

    Article  Google Scholar 

  24. Dey S, Mukhopadhyay T, Sahu S K, et al. Effect of cutout on stochastic natural frequency of composite curved panels. Composites. Part B, Engineering, 2016, 105: 188–202

    Article  Google Scholar 

  25. Djordjević Z, Jovanović S, Stanojević M, et al. Optimization of fiber orientation angle of a hybrid Al/composite cardan shaft. Acta Technica Corviniensis—Bulletin of Engineering, 2018, 11(2): 99–101

    Google Scholar 

  26. Li C, Zhong B, Shen Z, et al. Modeling and nonlinear vibration characteristics analysis of symmetrically 3-layer composite thin circular cylindrical shells with arbitrary boundary conditions. Thin-Walled Structures, 2019, 142: 311–321

    Article  Google Scholar 

  27. Fallahi H, Taheri-Behrooz F, Asadi A. Nonlinear mechanical response of polymer matrix composites: A review. Polymer Reviews, 2020, 60(1): 42–85

    Article  Google Scholar 

  28. Wang B, Sun W, Xu K, et al. The nonlinear stability prediction and FEM modeling of high-speed spindle system with joints dynamic characteristics. Shock and Vibration, 2014, 2014: 1–12

    Google Scholar 

  29. Hyer M W, White S R. Stress Analysis of Fiber-Reinforced Composite Materials. Lancaster: DEStech Publications, Inc., 2009

    Google Scholar 

  30. Reddy J N. Mechanics of Laminated Composite Plates and Shells: Theory and Analysis. Boca Raton: CRC Press, 2003

    Book  Google Scholar 

Download references

Acknowledgements

This work was supported by the Fundamental Research Funds for the Central Universities of China (Grant No. N180304021), the National Science Foundation for Postdoctoral Scientists of China (Grant No. 2019M651125), and the National Natural Science Foundation of China (Grant No. U1708257).

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Correspondence to Kunpeng Xu.

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Wang, B., Zhao, F., Zhao, Z. et al. Influence factors on natural frequencies of composite materials. Front. Mech. Eng. 15, 571–584 (2020). https://doi.org/10.1007/s11465-020-0592-4

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  • DOI: https://doi.org/10.1007/s11465-020-0592-4

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