Influence factors on natural frequencies of composite materials

doi:10.1007/s11465-020-0592-4

Front. Mech. Eng.

2020, Vol. 15

Issue (4) : 571-584 https://doi.org/10.1007/s11465-020-0592-4

RESEARCH ARTICLE

Influence factors on natural frequencies of composite materials

Bo WANG, Feng ZHAO, Zixu ZHAO, Kunpeng XU(

)

School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China; Key Laboratory of Vibration and Control of Aero-Propulsion Systems (Ministry of Education), Northeastern University, Shenyang 110819, China

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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.

Keywords composite material hammering and frequency sweep test structural parameter natural frequency

Corresponding Author(s): Kunpeng XU

Just Accepted Date: 30 July 2020 Online First Date: 11 September 2020 Issue Date: 02 December 2020

Cite this article:

Bo WANG,Feng ZHAO,Zixu ZHAO, et al. Influence factors on natural frequencies of composite materials[J]. Front. Mech. Eng., 2020, 15(4): 571-584.

URL:

https://academic.hep.com.cn/fme/EN/10.1007/s11465-020-0592-4
https://academic.hep.com.cn/fme/EN/Y2020/V15/I4/571

Fig.1 Production process of fiber-reinforced composites.

Tab.1 Composite structural parameter values and material parameter values

Fig.2 Modal test chart of composite material.

Fig.3 Simplified diagram of the distribution of laser reflection strips.

i	Test frequency, $ω i *$ /Hz	Theoretical frequency, ω_i/Hz	Error, $ω i * − ω i ω i * / %$
1	292.195	298.457	−2.140
2	810.355	792.698	2.179
3	1874.250	1894.750	−1.094
4	2531.530	2548.850	−0.684

Tab.2 Comparison of mode shapes and natural frequencies from theoretical calculation and experimental test

Fig.4 Laminated composite materials with different structures.

Tab.3 Structural parameters of composite materials with different layers

Fig.5 Effect of the number of layers on the natural frequencies of composites.

Fig.6 Effect of odd and even numbers of layers on the natural frequencies of composite materials. (a) Odd-numbered layers; (b) even-numbered layers.

Tab.4 Structural parameters of composite materials with different thicknesses

Fig.7 Variation of natural frequencies of materials with thickness.

Tab.5 Structural parameters of composite materials with different angles

Fig.8 Variation of natural frequencies of materials with layer angle.

Tab.6 Structural parameters of composite materials with different relative angles

Fig.9 Variation of natural frequencies of materials with relative layer angle.

Tab.7 Structural parameters of composite materials with different structures

Fig.10 Laminated composite materials with different structures.

Fig.11 Effects of different structures on the first-order natural frequency. (a) 2D curve graph; (b) 3D histogram.

Fig.12 Effects of different structures on the second-order natural frequency. (a) 2D curve graph; (b) 3D histogram.

Fig.13 Effects of different structures on the third-order natural frequency. (a) 2D curve graph; (b) 3D histogram.

Fig.14 Effects of different structures on the fourth-order natural frequency. (a) 2D curve graph; (b) 3D histogram.

Fig.15 Effects of the number of layers on the natural frequencies of different structures. (a) SY1; (b) SY2; (c) OB1; (d) OB2; (e) QI.

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