纤维角度对变角度层合板减振性能的影响

李亮; 王显峰; 赵聪; 居相文; 王东立; 于肖

doi:10.13801/j.cnki.fhclxb.20210301.001

纤维角度对变角度层合板减振性能的影响

doi: 10.13801/j.cnki.fhclxb.20210301.001

南京航空航天大学　材料科学与技术学院，南京 210016

基金项目: 装备发展部装备预研共用技术(41422010403)；国家自然科学基金青年基金(52005257)；江苏省自然科学基金青年基金(BK20190425)

详细信息

通讯作者:
王显峰，博士，副教授，硕士生导师，研究方向为先进复合材料自动化成型技术　E-mail：wangxf@nuaa.edu.cn

中图分类号: TB330.1
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出版历程
- 收稿日期: 2020-12-03
- 录用日期: 2021-02-16
- 网络出版日期: 2021-03-01
- 刊出日期: 2021-11-01

Influences of fiber angle on the vibration damping performance of variable angle laminates

College of Materials Science & Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

摘要

摘要: 自动铺丝技术可以实现复杂曲率曲线铺放，可极大提高角度设计的自由度。本文以改善复合材料层合板动态特性为目的，对变角度层合板的减振性能进行了研究分析。首先对不同角度变化变角度层合板进行自由衰减试验，研究了纤维角度变化与变角度层合板阻尼比的关系。然后对含相应角度变角度夹层板进行随机试验，研究了层合板随机激励条件下的振动响应，并采用共振峰处传递函数(Transition function，TF)和拾振点加速度总均方根(Root mean square，RMS)两种指标评价减振效果。结果表明：层合板阻尼比在纤维变化角度为±<45|60>时最大，纤维变化角度为±<73|88>时最小。基于RMS减振评价指标，±<45|60>夹层板较传统直线板减振性能提高27.13%；基于共振峰TF减振评价指标，纤维角度变化对不同共振峰减振效果规律差异明显。研究表明，变角度层合板减振性能明显优于传统直线层合板，相关实验结果将对变角度层合板减振设计及优化提供一定的参考意义。
- 先进复合材料 /
- 变角度 /
- 减振 /
- 阻尼 /
- 振动响应
Abstract: With the development of automated fiber placement technology, it is possible to lay complex curves which greatly increase the freedom of angle design. In this paper, with the purpose of improving the dynamic characteristics of composite laminates, the vibration damping performance of variable angle laminates was studied and analyzed. Firstly, the free attenuation experiment was carried out to study the relationship between the change of fiber angle and damping ratio of variable angle laminates. Then, the vibration response of variable angle laminates under random excitation was studied by random experiments. The transition function (TF) at the formant and the root mean square (RMS) of the acceleration at the pick-up point of vibration were used to evaluate the effect of vibration reduction. The results show that the damping ratio of laminates is the largest when the fiber angle is ±<45|60> and the least when the fiber angle is ±<73|88>. Based on the vibration reduction evaluation index of RMS, the vibration reduction performance of ±<45|60> sandwich laminate is 27.13% higher than the traditional linear laminate; Based on the formant vibration reduction evaluation index of TF, the vibration reduction effect of different formants is obviously different with the fiber change. The results show that the vibration reduction performance of the variable angle laminates is obviously better than that of the traditional linear laminates. The relevant experimental results will be helpful for the design and optimization of vibration reduction of variable angle laminates.
- advanced composites /
- variable angle /
- vibration damping /
- damping /
- vibration response

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图 1 纤维曲线铺放参考路径

Figure 1. Reference path of fiber curve laying

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图 2 EM118碳纤维增强树脂预浸料固化工艺曲线

Figure 2. Curing process curves of EM118 carbon fiber reinforced resin prepreg

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图 3 软件界面

Figure 3. Software interface

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图 4 连续铺层±<45|60>的铺放中心轨迹线

Figure 4. Laying center trajectory of continuous laying ±<45|60>

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图 5 8丝数EM118碳纤维增强树脂预浸料窄丝(3.175 mm)自动铺放

Figure 5. Automated fiber placement of 8-thread EM118 carbon fiber reinforced resin prepreg narrow tow (3.175 mm)

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图 6 EM118碳纤维增强树脂变角度层合板

Figure 6. EM118 carbon fiber reinforced resin variable angle laminates

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图 7 变角度层合板拾振点和激振点

Figure 7. Acceptance point and excitation point of variable angle laminate

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图 8 不同EM118碳纤维增强树脂曲线层合板的自由衰减曲线

Figure 8. Free vibration attenuation curves of EM118 carbon fiber reinforced resin laminated plates with different curves

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图 9 EM118碳纤维增强树脂变角度层合板阻尼比与纤维角度的关系

Figure 9. Relation between the damping ratio of EM118 carbon fiber reinforced resin variable angle laminate and the fiber angle

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图 10 含±<0|15>EM118碳纤维增强树脂变角度夹层板加速度响应的传递函数

Figure 10. Acceleration response transfer function of EM118 carbon fiber reinforced resin variable angle sandwich laminate with ±<0|15>

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图 11 含±<15|30>EM118碳纤维增强树脂变角度夹层板加速度响应的传递函数

Figure 11. Acceleration response transfer function of EM118 carbon fiber reinforced resin variable angle sandwich laminate with ±<15|30>

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图 12 含±<30|45>EM118碳纤维增强树脂变角度夹层板加速度响应的传递函数

Figure 12. Acceleration response transfer function of EM118 carbon fiber reinforced resin variable angle sandwich laminate with ±<30|45>

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图 13 含±<45|60>EM118碳纤维增强树脂变角度夹层板加速度响应的传递函数

Figure 13. Acceleration response transfer function of EM118 carbon fiber reinforced resin variable angle sandwich laminate with ±<45|60>

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图 14 含±<60|75>EM118碳纤维增强树脂变角度夹层板加速度响应的传递函数

Figure 14. Acceleration response transfer function of EM118 carbon fiber reinforced resin variable angle sandwich laminate with ±<60|75>

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图 15 含±<73|88>EM118碳纤维增强树脂变角度夹层板加速度响应的传递函数

Figure 15. Acceleration response transfer function of EM118 carbon fiber reinforced resin variable angle sandwich laminate with ±<73|88>

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图 16 EM118碳纤维增强树脂变角度层合板自由衰减实验与随机激励实验结果对比

Figure 16. Comparison of results between free decay experiment and random excitation experiment of EM118 carbon fiber reinforced resin variable angle laminates

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表 1 EM118碳纤维增强树脂预浸料的弹性基础参数

Table 1. Elastic fundation parameters of EM118 carbon fiber reinforced resin prepreg

E₁/GPa	E₂/GPa	G₁₂/GPa	G₁₃/GPa	G₂₃/GPa	${v_{12}}$
140	7.50	3.69	3.69	2.77	0.27

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表 2 EM118碳纤维增强树脂复合材料变角度层合板阻尼比

Table 2. Damping ratio of EM118 carbon fiber reinforced resin variable angle composite laminates

Fiber curve composite laminate	Damping ratio ζ/%
[±<0\|15>]_2s	1.588
[±<15\|30>]_2s	1.440
[±<30\|45>]_2s	1.161
[±<45\|60>]_2s	1.775
[±<60\|75>]_2s	1.381
[±<73\|88>]_2s	1.056

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表 3 EM118碳纤维增强树脂变角度层合板随机激励测点加速度响应共振峰值处传递函数值及减振效果

Table 3. Value of transfer function and vibration reduction effect at the resonance peak of the acceleration response of the random excitation measuring point of EM118 carbon fiber reinforced resin variable angle laminates

Composite layer sequence	Near 48 Hz		Near 90 Hz		Near 158 Hz
Composite layer sequence	Transition function	Vibration reduction effect/%	Transition function	Vibration reduction effect/%	Transition function	Vibration reduction effect/%
[45/−45/0/90]_s	120.747	−	28.873	−	185.817	−
[±45/±<0\|15>]_s	39.817	67.02	101.510	−251.57	89.800	51.67
[±45/±<15\|30>]_s	67.944	43.73	47.002	−62.79	171.014	7.97
[±45/±<30\|45>]_s	118.434	1.92	110.382	−282.30	25.029	86.53
[±45/±<45\|60>]_s	37.043	69.32	20.034	30.61	9.504	94.89
[±45/±<60\|75>]_s	105.821	12.36	25.855	10.45	77.399	58.35
[±45/±<73\|88>]_s	255.780	−111.83	47.988	−66.20	185.373	0.24

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表 4 EM118碳纤维增强树脂变角度层合板随机激励测点响应加速度均方根值及减振效果

Table 4. Random excitation measuring point response acceleration RMS and vibration reduction effect of EM118 carbon fiber reinforced resin variable angle laminates

Composite layer sequence	Root mean square/g	Vibration reduction effect/%
[45/−45/0/90]_s	0.3284	−
[±45/±<0\|15>]_s	0.2816	14.25
[±45/±<15\|30>]_s	0.2893	11.91
[±45/±<30\|45>]_s	0.3008	8.40
[±45/±<45\|60>]_s	0.2393	27.13
[±45/±<60\|75>]_s	0.2944	10.35
[±45/±<73\|88>]_s	0.3819	−16.29

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表 5 不同EM118碳纤维增强树脂变角度层合板相对刚度和相对质量

Table 5. Relative stiffness and relative mass of EM118 carbon fiber reinforced resin laminated plates with different variable angles

Composite layer sequence	Number	Relative stiffness	Relative mass	Relative damping	Relative stiffness to mass ratio
[45/−45/0/90]_s	CFRP-T1	1	1	1	1
[±45/±<0\|15>]_s	CFRP-VS1	0.884	1.006	1.490	0.879
[±45/±<15\|30>]_s	CFRP-VS2	0.622	0.993	1.348	0.626
[±45/±<30\|45>]_s	CFRP-VS3	1.031	1.011	1.087	1.020
[±45/±<45\|60>]_s	CFRP-VS4	0.663	1.004	1.662	0.660
[±45/±<60\|75>]_s	CFRP-VS5	1.039	0.997	1.293	1.042
[±45/±<73\|88>]_s	CFRP-VS6	0.949	0.990	0.989	0.959

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