Influence factors on natural frequencies of composite materials
Bo WANG, Feng ZHAO, Zixu ZHAO, Kunpeng XU
Influence factors on natural frequencies of composite materials
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.
composite material / hammering and frequency sweep test / structural parameter / natural frequency
[1] |
Guang M, Qu Y. Vibration and Acoustics of Composite Structures. Beijing: National Defense Industry Press, 2017
|
[2] |
Gibson R F. Principles of Composite Material Mechanics. 4th ed. Boca Raton: CRC Press, 2016
|
[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
CrossRef
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
|
[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
CrossRef
Google scholar
|
[7] |
Ghasemi A R, Taheri-Behrooz F, Farahani S M N,
CrossRef
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
CrossRef
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
CrossRef
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
CrossRef
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
CrossRef
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
CrossRef
Google scholar
|
[13] |
Mukhopadhyay T, Naskar S, Karsh P K,
CrossRef
Google scholar
|
[14] |
Zhao J, Choe K, Shuai C,
CrossRef
Google scholar
|
[15] |
Xue Z C, Li Q H, Wang J F,
CrossRef
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
CrossRef
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
CrossRef
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
CrossRef
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
CrossRef
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
CrossRef
Google scholar
|
[21] |
Donadon B F, Mascia N T, Vilela R,
CrossRef
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
CrossRef
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
CrossRef
Google scholar
|
[24] |
Dey S, Mukhopadhyay T, Sahu S K,
CrossRef
Google scholar
|
[25] |
Djordjević Z, Jovanović S, Stanojević M,
|
[26] |
Li C, Zhong B, Shen Z,
CrossRef
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
CrossRef
Google scholar
|
[28] |
Wang B, Sun W, Xu K,
CrossRef
Google scholar
|
[29] |
Hyer M W, White S R. Stress Analysis of Fiber-Reinforced Composite Materials. Lancaster: DEStech Publications, Inc., 2009
|
[30] |
Reddy J N. Mechanics of Laminated Composite Plates and Shells: Theory and Analysis. Boca Raton: CRC Press, 2003
|
/
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