湿热环境下2.5维编织树脂基复合材料平板结构动力学特性

唐银森; 程翰林; 周标; 张宏建

doi:10.13224/j.cnki.jasp.20230547

湿热环境下2.5维编织树脂基复合材料平板结构动力学特性

doi: 10.13224/j.cnki.jasp.20230547

南京航空航天大学能源与动力学院航空发动机热环境与热结构工业和信息化部重点实验室，南京 210016

基金项目: 国家科技重大专项（2017-Ⅳ-0007-0044）；航空动力基金（6141B09050340）

详细信息

作者简介:
唐银森（1998-），男，硕士，研究领域为航空发动机结构动力学

通讯作者:
周标（1985-），男，副教授，博士，研究领域为航空发动机结构动力学。E-mail：biao.zhou@nuaa.edu.cn

中图分类号: V250T；B332
计量
- 文章访问数: 469
- HTML浏览量: 425
- PDF量: 16
- 被引次数: 0
出版历程
- 收稿日期: 2023-08-30
- 网络出版日期: 2025-11-07

Dynamic characteristics of 2.5D woven resin-based composite plates in the hygrothermal environment

Key Laboratory of Aero-Engine Thermal Environment and Structure，Ministry of Industry and Information Technology，College of Energy and Power Engineering，Nanjing University of Aeronautics and Astronautics，Nanjing 210016，China

摘要

摘要:
开展湿热环境下新型三枚衬经2.5维编织复合材料平板结构动力学测试、仿真与模型修正研究。首先，开展湿热环境下的复合材料自由平板结构振动测试，分析湿热因素对其结构固有频率的影响；其次，基于纤维束/树脂基体组分材料力学性能退化预测模型，建立湿热环境下复合材料结构固有振动分析方法；最后，利用实测结构模态数据，实现湿热环境下复合材料平板结构的动力学模型修正。试验结果分析揭示了复合材料自由平板结构固有振动特性随温度与吸湿量变化的规律。同时，仿真分析能够有效地预测复合材料自由平板结构固有频率在湿热环境下的变化趋势。对关键弹性常数进行修正后，复合材料自由平板前六阶固有频率测试与仿真数据的一致程度得到了大幅提高，其误差最大值由12.21%回落至2.4%，同时有效获取了包括切变模量在内的湿热环境下复合材料等效弹性常数。
- 2.5维编织树脂基复合材料 /
- 湿热环境 /
- 振动测试 /
- 固有振动 /
- 模型修正
Abstract:
A study on the dynamic testing, analysis and model updating of 2.5D woven resin-based composite plates in the hygrothermal environment was carried out. Firstly, modal tests for the free-free composite plates in the hygrothermal environment were conducted. Secondly, a modal analysis method of composite structures in the hygrothermal environment was specifically developed by taking advantage of a predictive model of the degrading mechanical properties of the fiber/resin matrix materials. Finally, the dynamic model of the composite plate in the hygrothermal environment was updated by exploiting the modal test data. The test results clearly revealed the impact of the temperature and humidity on the natural vibration characteristics of the free composite plates. The proposed modal vibration analysis method was proved to be able to effectively predict the evolving trend of the free composite plate’s frequencies in the hygrothermal environment. After key elastic parameters were updated, the consistency between the tested/predicted natural frequencies of the first 6 modes of the free composite plates was significantly improved. The maximum frequency error decreased from 12.21% to 2.4%. Meanwhile, the equivalent elastic parameters of the composite material in the hygrothermal environment, including the shear modulus, were experimentally derived.
- 2.5D braided resin-based composite /
- hygrothermal environment /
- vibration test /
- natural vibration characteristic /
- model updating

HTML

图 1 自由边界条件复合材料平板模态测试

Figure 1. Modal test for a free-free composite plate

下载: 全尺寸图片幻灯片

图 2 湿热环境复合材料平板振动分析方法

Figure 2. Vibration analysis of a composite plate in the hygrothermal environment

下载: 全尺寸图片幻灯片

图 3 干态自由平板固有频率-温度变化曲线

Figure 3. Natural frequency-temperature curves of the free, dry plate

下载: 全尺寸图片幻灯片

图 4 干态自由平板固有频率保持率

Figure 4. Natural frequency retention curve of the free, dry plate

下载: 全尺寸图片幻灯片

图 5 吸湿自由平板固有频率-温度变化曲线

Figure 5. Natural frequency-temperature curves of the free plate with water sorption

下载: 全尺寸图片幻灯片

图 6 吸湿自由平板固有频率保持率曲线

Figure 6. Natural frequency retention curves of the free plate with water sorption

下载: 全尺寸图片幻灯片

图 7 不同吸湿量试验件固有频率-温度曲线

Figure 7. Natural frequency -temperature curves of the free plates with different water sorption

下载: 全尺寸图片幻灯片

图 8 吸湿半饱和平板仿真/试验固有频率对比

Figure 8. Comparison of the simulated/tested natural frequencies of the free plate with water sorption at half saturation

下载: 全尺寸图片幻灯片

图 9 吸湿饱和平板仿真/试验固有频率对比

Figure 9. Comparison of the simulated/tested natural frequencies of the free plate with water sorption at saturation

下载: 全尺寸图片幻灯片

图 10 自由平板灵敏度信息

Figure 10. Sensitivity of the free plate

下载: 全尺寸图片幻灯片

表 1 不同温度、吸湿量条件下2.5维复合材料弹性模量预测与试验结果

Table 1. Prediction and test results of elastic modulus of 2.5D composites at different temperature and hygroscopic capacity

弹性模量	吸湿量	温度/ ℃	试验值/ GPa	预测值/ GPa	误差/ %
${E_{11}}$	干态	150	58.21	52.81	5.82
${E_{11}}$		223	52.80	51.12	1.74
${E_{22}}$		150	62.20	60.21	1.62
${E_{22}}$		223	60.40	59.38	1.69
${E_{11}}$	吸湿饱和	23	55.00	51.90	5.64
${E_{11}}$		150	45.40	43.25	4.74
${E_{22}}$		23	63.70	59.32	6.86
${E_{22}}$		150	51.70	49.28	4.68
注：表中${E_{11}}$为复合材料的经向拉伸弹性模量；${E_{22}}$为复合材料的纬向拉伸弹性模量。

下载: 导出CSV

表 2 150 ℃吸湿饱和态自由平板模态测试数据与仿真结果对比

Table 2. Comparison of simulated/tested natural frequencies of the free plate at 150 ℃ with water sorption at saturation

模态阶次	测试		仿真		修正前结果		修正后结果
模态阶次	振型	频率/Hz	振型	频率/Hz	频率/Hz	误差/%	频率/Hz	误差/%
1		596.50		570.02	570.02	−4.44	602.67	1.03
2		740.16		669.76	669.76	−9.51	747.19	0.95
3		1635.81		1561.97	1561.97	−4.51	1646.07	0.63
4		1657.14		1497.40	1497.40	−9.64	1671.52	0.87
5		3052.90		3033.67	3033.67	−0.63	3126.04	2.40
6		2835.74		2586.94	2586.94	−8.77	2835.23	1.02

下载: 导出CSV

表 3 150 ℃吸湿饱和态复合材料等效弹性常数测试与仿真结果对比

Table 3. Comparison of predicted/tested Elastic modulus of composites at 150 ℃ with water sorption at saturation GPa

参数	E₁₁	E₂₂	G₁₂
静力学测试结果	45.43	51.72
预测结果^①	43.25	49.28	2.45
修正结果^②	48.09	52.55	2.76
注：①等效弹性常数由文中第1.2节仿真分析方法预测；②等效弹性常数经由文中第1.3节模型修正方法获取。

下载: 导出CSV

参考文献(25)

[1]	蔡菊生. 先进复合材料在航空航天领域的应用[J]. 合成材料老化与应用, 2018, 47(6): 94-97. CAI Jusheng. Application of advanced composite materials in aerospace[J]. Synthetic Materials Aging and Application, 2018, 47(6): 94-97. (in Chinese CAI Jusheng. Application of advanced composite materials in aerospace[J]. Synthetic Materials Aging and Application, 2018, 47(6): 94-97. (in Chinese)
[2]	MANALO A, MARANAN G, SHARMA S, et al. Temperature-sensitive mechanical properties of GFRP composites in longitudinal and transverse directions: a comparative study[J]. Composite Structures, 2017, 173: 255-267. doi: 10.1016/j.compstruct.2017.04.040
[3]	AMARO A M, REIS P N B, NETO M A. Experimental study of temperature effects on composite laminates subjected to multi-impacts[J]. Composites Part B: Engineering, 2016, 98: 23-29. doi: 10.1016/j.compositesb.2016.05.021
[4]	ADAMS R D, SINGH M M. The dynamic properties of fibre-reinforced polymers exposed to hot, wet conditions[J]. Composites Science and Technology, 1996, 56(8): 977-997. doi: 10.1016/0266-3538(96)00065-6
[5]	GUO Junhua, WEN Weidong, ZHANG Hongjian, et al. Representative cell modeling strategy of 2.5D woven composites considering the randomness of weft cross-section for mechanical properties prediction[J]. Engineering Fracture Mechanics, 2020, 237: 107255. doi: 10.1016/j.engfracmech.2020.107255
[6]	SONG Jian, WEN Weidong, CUI Haitao. Experimental and numerical investigation of mechanical behaviors of 2.5D woven composites at ambient and un-ambient temperatures[J]. Composite Structures, 2018, 201: 699-720. doi: 10.1016/j.compstruct.2018.06.054
[7]	高艺航, 王鲲鹏, 石玉红, 等. 纤维增强树脂基复合材料高温力学性能评估方法综述[J]. 强度与环境, 2016, 43(1): 9-20. GAO Yihang, WANG Kunpeng, SHI Yuhong, et al. Advances in evaluation methods of high-temperature mechanical properties of fibre-reinforced polymer composites[J]. Structure & Environment Engineering, 2016, 43(1): 9-20. (in Chinese GAO Yihang, WANG Kunpeng, SHI Yuhong, et al. Advances in evaluation methods of high-temperature mechanical properties of fibre-reinforced polymer composites[J]. Structure & Environment Engineering, 2016, 43(1): 9-20. (in Chinese)
[8]	陈素芳, 谭志勇, 姜东, 等. 高温环境下纤维增强复合材料等效参数预测[J]. 振动与冲击, 2018, 37(11): 216-224, 258. CHEN Sufang, TAN Zhiyong, JIANG Dong, et al. Equivalent parametric prediction for fiber reinforced composites under high temperature condition[J]. Journal of Vibration and Shock, 2018, 37(11): 216-224, 258. (in Chinese CHEN Sufang, TAN Zhiyong, JIANG Dong, et al. Equivalent parametric prediction for fiber reinforced composites under high temperature condition[J]. Journal of Vibration and Shock, 2018, 37(11): 216-224, 258. (in Chinese)
[9]	RUPNOWSKI P, GENTZ M, KUMOSA M. Mechanical response of a unidirectional graphite fiber/polyimide composite as a function of temperature[J]. Composites Science and Technology, 2006, 66(7/8): 1045-1055.
[10]	宋健, 温卫东. 考虑温度环境下树脂基复合材料力学性能及模型研究[J]. 航空动力学报, 2016, 31(1): 31-39. SONG Jian, WEN Weidong. Study on mechanical properties of resin composites and models considering temperature environment[J]. Journal of Aerospace Power, 2016, 31(1): 31-39. (in Chinese SONG Jian, WEN Weidong. Study on mechanical properties of resin composites and models considering temperature environment[J]. Journal of Aerospace Power, 2016, 31(1): 31-39. (in Chinese)
[11]	张笑梅, 郭万涛. 纤维增强树脂基复合材料环境加速老化性能研究[J]. 材料开发与应用, 2017, 32(2): 41-46. ZHANG Xiaomei, GUO Wantao. Research on accelerated environmental aging properties of the fiber reinforced polymer composites[J]. Development and Application of Materials, 2017, 32(2): 41-46. (in Chinese ZHANG Xiaomei, GUO Wantao. Research on accelerated environmental aging properties of the fiber reinforced polymer composites[J]. Development and Application of Materials, 2017, 32(2): 41-46. (in Chinese)
[12]	TSAI S W, HAHN H T. Introduction to composite materials [M]. Lancaster: Technomic Publishing, 1980: 377-419.
[13]	GHORBEL I, VALENTIN D. Hydrothermal effects on the physico-chemical properties of pure and glass fiber reinforced polyester and vinylester resins[J]. Polymer Composites, 1993, 14(4): 324-334. doi: 10.1002/pc.750140408
[14]	AKBAR S, ZHANG T. Moisture diffusion in carbon/epoxy composite and the effect of cyclic hydrothermal fluctuations: characterization by dynamic mechanical analysis (DMA) and interlaminar shear strength (ILSS)[J]. Adhesion, 2008, 84(7): 585-600.
[15]	MEGUENI A, TOUNSI A, BEDIA E A. Evolution of the stress intensity factor for patched crack with bonded hygrothermal aged composite repair[J]. Materials & Design, 2007, 28(1): 287-293.
[16]	YOUSSEF Z, JACQUEMIN F, GLOAGUEN D, et al. A multi-scale analysis of composite structures: Application to the design of accelerated hygrothermal cycles[J]. Composite Structures, 2008, 82(2): 302-309. doi: 10.1016/j.compstruct.2007.01.008
[17]	冯青, 李敏, 顾轶卓, 等. 不同湿热条件下碳纤维/环氧复合材料湿热性能实验研究[J]. 复合材料学报, 2010, 27(6): 16-20. FENG Qing, LI Min, GU Yizhuo, et al. Experimental research on hygrothermal properties of carbon fiber/epoxy resin composite under different hygrothermal conditions[J]. Acta Materiae Compositae Sinica, 2010, 27(6): 16-20. (in Chinese FENG Qing, LI Min, GU Yizhuo, et al. Experimental research on hygrothermal properties of carbon fiber/epoxy resin composite under different hygrothermal conditions[J]. Acta Materiae Compositae Sinica, 2010, 27(6): 16-20. (in Chinese)
[18]	易阅城. 湿热环境下组分材料的力学性能试验与分析研究[D]. 南京: 南京航空航天大学, 2020. YI Yuecheng. Experimental and analytical study on mechanical properties of component materials in hot and humid environment[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2020. (in Chinese YI Yuecheng. Experimental and analytical study on mechanical properties of component materials in hot and humid environment[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2020. (in Chinese)
[19]	胡杨. 湿热环境下三枚衬经斜纹2.5维编织复合材料的强度研究[D]. 南京: 南京航空航天大学, 2021. HU Yang. Study on the strength of three linings 2.5D braided composites in hygrothermal environment[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2021. (in Chinese HU Yang. Study on the strength of three linings 2.5D braided composites in hygrothermal environment[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2021. (in Chinese)
[20]	赵天, 杨智春, 田玮, 等. 湿热环境下复合材料层合板振动与声辐射特性分析[J]. 航空学报, 2017, 38(10): 221038. ZHAO Tian, YANG Zhichun, TIAN Wei, et al. Vibration and acoustic radiation characteristics analysis of composite laminated plate in hygrothermal environments[J]. Acta Aeronautica et Astronautica Sinica, 2017, 38(10): 221038. (in Chinese ZHAO Tian, YANG Zhichun, TIAN Wei, et al. Vibration and acoustic radiation characteristics analysis of composite laminated plate in hygrothermal environments[J]. Acta Aeronautica et Astronautica Sinica, 2017, 38(10): 221038. (in Chinese)
[21]	贾宝惠, 王浩, 卢翔, 等. 湿热环境下含分层损伤碳纤维/环氧树脂层合板振动特性[J]. 复合材料科学与工程, 2022(9): 54-61. JIA Baohui, WANG Hao, LU Xiang, et al. Vibration characteristics of carbon fiber/epoxy laminates with delamination damage in hygrothermal environment[J]. Composites Science and Engineering, 2022(9): 54-61. (in Chinese JIA Baohui, WANG Hao, LU Xiang, et al. Vibration characteristics of carbon fiber/epoxy laminates with delamination damage in hygrothermal environment[J]. Composites Science and Engineering, 2022(9): 54-61. (in Chinese)
[22]	郝彤星. 湿热环境下复合材料蜂窝板的振动特性分析[D]. 天津: 中国民航大学, 2020. HAO Tongxing. Vibration characteristics analysis of composite honeycomb panel in hot and humid environment[D]. Tianjin: Civil Aviation University of China, 2020. (in Chinese HAO Tongxing. Vibration characteristics analysis of composite honeycomb panel in hot and humid environment[D]. Tianjin: Civil Aviation University of China, 2020. (in Chinese)
[23]	杨皓. 温度环境下三枚衬经斜纹2.5维编织复合材料的强度研究[D]. 南京: 南京航空航天大学, 2021. YANG Hao. Study on the strength of 3 warp-lined twill 2.5-dimensional braided composites under temperature environment[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2021. (in Chinese YANG Hao. Study on the strength of 3 warp-lined twill 2.5-dimensional braided composites under temperature environment[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2021. (in Chinese)
[24]	程翰林, 刘杰明, 周标, 等. 2.5维编织树脂基复合材料平板多尺度动力学模型修正[J]. 推进技术, 2022, 43(2): 210455. CHENG Hanlin, LIU Jieming, ZHOU Biao, et al. Multi-scale dynamic model updating of 2.5D braided resin-based composite plate[J]. Journal of Propulsion Technology, 2022, 43(2): 210455. (in Chinese CHENG Hanlin, LIU Jieming, ZHOU Biao, et al. Multi-scale dynamic model updating of 2.5D braided resin-based composite plate[J]. Journal of Propulsion Technology, 2022, 43(2): 210455. (in Chinese)
[25]	沈观林, 胡更开. 复合材料力学[M]. 北京: 清华大学出版社, 2006. SHEN Guanlin, HU Gengkai. Mechanics of composite materials[M]. Beijing: Tsinghua University Press, 2006. (in Chinese SHEN Guanlin, HU Gengkai. Mechanics of composite materials[M]. Beijing: Tsinghua University Press, 2006. (in Chinese)