热环境下纤维增强复合材料圆柱壳非线性振动分析与验证

doi:10.7527/S1000-6893.2021.25642

材料工程与机械制造

本期目录 | 过刊浏览 | 高级检索

前一篇 | 后一篇

热环境下纤维增强复合材料圆柱壳非线性振动分析与验证

李晖^1,2, 吕海宇^1,2, 邹泽煜^1,2, 罗忠^1,2, 马辉^1,2, 韩清凯^1,2

1. 东北大学机械工程与自动化学院, 沈阳 110819;
2. 东北大学航空动力装备振动及控制教育部重点实验室, 沈阳 110819

收稿日期:2021-04-08 修回日期:2021-04-26 出版日期:2022-09-15 发布日期:2021-05-21
通讯作者: 李晖,E-mail:ygduan@mail.xjtu.edu.cn E-mail:ygduan@mail.xjtu.edu.cn
基金资助:
国家自然科学基金(52175079)；特种环境复合材料技术国家级重点实验室基金(6142905192512)；中央高校基本科研业务费专项资金(N2103026)；中国博士后科学基金(2020M680990)；航空发动机及燃气轮机重大专项基础研究项目(J2019-I-0008-0008)

Analysis and verification of nonlinear vibrations of fiber-reinforced composite cylindrical shells in thermal environment

LI Hui^1,2, LYU Haiyu^1,2, ZOU Zeyu^1,2, LUO Zhong^1,2, MA Hui^1,2, HAN Qingkai^1,2

1. School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, China;
2. Analysis and verification of nonlinear vibrations of fiber-reinforced composite cylindrical shells in thermal environment

Received:2021-04-08 Revised:2021-04-26 Online:2022-09-15 Published:2021-05-21
Supported by:
National Natural Science Foundation of China (52175079); The Science Foundation of the National Key Laboratory of Science and Technology on Advanced Composites in Special Environments (6142905192512); The Fundamental Research Funds for the Central Universities of China (N2103026); The China Postdoctoral Science Foundation (2020M680990); The Major Projects of Aero-Engines and Gas Turbines (J2019-I-0008-0008)

摘要/Abstract

摘要： 对热环境下纤维增强复合材料圆柱壳的非线性振动开展了理论分析与测试验证研究。首先, 基于应变能密度函数法和复模量法, 结合多项式拟合技术提出了考虑振幅和温度依赖性的该类型复合材料非线性拉伸模量、剪切模量和损耗因子的显式表达式。接着, 结合Love壳体理论、能量法和von-Kármán非线性应变-位移关系建立了结构的解析模型, 并推导了其在均匀热环境中的振动微分方程, 实现了非线性共振频率、阻尼比和振动响应的求解。最后, 利用自行搭建的热振实验系统对CF120碳纤维/环氧圆柱壳试件开展了测试, 验证了提出的模型及其分析结果的正确性。

关键词: 钛合金, 钛液滴, 火蔓延, 临界条件, 参数分析

Abstract: Theoretical analysis and experimental verification of the nonlinear vibration characteristics of the fiber reinforced composite cylindrical shell in the thermal environment are conducted in this paper. Firstly, based on the strain energy density function method, complex modulus principle and polynomial fitting technique, explicit expressions of the nonlinear tensile moduli, shear moduli and loss factors of this type of composite material are proposed with consideration of amplitude and temperature dependence. Then, on the basis of the Love's shell theory, energy method and von-Kármán nonlinear strain-displacement relationship, an analytical model of the structure is established, and differential equations for vibration of the structure in the uniform thermal environment are derived, so as to solve the nonlinear resonant frequencies, damping ratios, and resonant responses of the structure. Finally, specimens of the CF120 carbon/epoxy composite cylindrical shell were tested based on a self-built thermal vibration experimental system, verifying the correctness of the model proposed as well as its analysis results.

Key words: nonlinear vibration, fiber-reinforced composite, cylindrical shell, thermal environment, parameters identification

中图分类号:

V257
O313.4

李晖, 吕海宇, 邹泽煜, 罗忠, 马辉, 韩清凯. 热环境下纤维增强复合材料圆柱壳非线性振动分析与验证[J]. 航空学报, 2022, 43(9): 425642-425642.

LI Hui, LYU Haiyu, ZOU Zeyu, LUO Zhong, MA Hui, HAN Qingkai. Analysis and verification of nonlinear vibrations of fiber-reinforced composite cylindrical shells in thermal environment[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(9): 425642-425642.

参考文献

[1] LIU Q, REN J T, JIANG J S, et al. Nonlinear thermal vibration characteristic analysis of composite thin-cylindrical shells[J]. Journal of Mechanical Strength, 2006, 28(5): 643-648 (in Chinese). 刘芹, 任建亭, 姜节胜, 等. 复合材料薄壁圆柱壳热振动特性分析[J]. 机械强度, 2006, 28(5): 643-648.
[2] LUO Z, ZHU Y P, HAN Q K, et al. Structure size interval of similar test model of the laminated composite thin-wall short cylinder shell[J]. Journal of Mechanical Engineering, 2015, 51(17): 43-51 (in Chinese). 罗忠, 朱云鹏, 韩清凯, 等. 复合材料层合薄壁短圆柱壳动力学相似模型几何适用区间确定方法[J]. 机械工程学报, 2015, 51(17): 43-51.
[3] ZHANG Y F, WANG Y Q, WEN B C. Internal resonance of axially moving laminated thin cylindrical shells[J]. Journal of Vibration and Shock, 2015, 34(22): 82-86 (in Chinese). 张宇飞, 王延庆, 闻邦椿. 轴向运动层合薄壁圆柱壳内共振的数值分析[J]. 振动与冲击, 2015, 34(22): 82-86.
[4] WANG J K, WANG H. Stability of thin circular cylindrical shells composed of composite materials[J]. Acta Aeronautica et Astronautica Sinica, 1991, 12(12): 598-605 (in Chinese). 王俊奎, 王虎. 复合材料薄壁圆柱壳体的稳定性[J]. 航空学报, 1991, 12(12): 598-605.
[5] SONG X Y. Nonlinear vibration characteristics of laminated thin-walled cylindrical shell[D]. Dalian: Dalian University of Technology, 2016 (in Chinese). 宋旭圆. 层合薄壁圆柱壳结构的非线性振动特性研究[D]. 大连: 大连理工大学, 2016.
[6] LI H, LV H Y, LI Z L, et al. Forced vibration responses of fiber reinforced resin composite thin cylindrical shell in thermal environment[J]. Acta Materiae Compositae Sinica, 2020, 37(2): 382-389 (in Chinese). 李晖, 吕海宇, 李则霖, 等. 热环境下纤维增强树脂复合薄壁圆柱壳的强迫振动响应[J]. 复合材料学报, 2020, 37(2): 382-389.
[7] IU V P, CHIA C Y. Effect of transverse shear on nonlinear vibration and postbuckling of anti-symmetric cross-ply imperfect cylindrical shells[J]. International Journal of Mechanical Sciences, 1988, 30(10): 705-718.
[8] IU V P, CHIA C Y. Non-linear vibration and postbuckling of unsymmetric cross-ply circular cylindrical shells[J]. International Journal of Solids and Structures, 1988, 24(2): 195-210.
[9] HE J G, HU X C, LI S N, et al. A finite element analysis of nonlinear instability for laminated composite cylindrical shells with longitudinal stiffeners and transverse frames[J]. Acta Aeronautica et Astronautica Sinica, 1989, 10(6): 246-253 (in Chinese). 何建国, 胡训传, 李松年, 等. 复合材料加筋圆柱壳稳定性的非线性有限元分析[J]. 航空学报, 1989, 10(6): 246-253.
[10] LAKIS A A, SELMANE A, TOLEDANO A. Non-linear free vibration analysis of laminated orthotropic cylindrical shells[J]. International Journal of Mechanical Sciences, 1998, 40(1): 27-49.
[11] AMABILI M, REDDY J N. A new non-linear higher-order shear deformation theory for large-amplitude vibrations of laminated doubly curved shells[J]. International Journal of Non-Linear Mechanics, 2010, 45(4): 409-418.
[12] AMABILI M. Nonlinear vibrations of laminated circular cylindrical shells: Comparison of different shell theories[J]. Composite Structures, 2011, 94(1): 207-220.
[13] AMABILI M. Internal resonances in non-linear vibrations of a laminated circular cylindrical shell[J]. Nonlinear Dynamics, 2012, 69(3): 755-770.
[14] ZHANG Y, YANG J, SUN W, et al. A nonlinear analytical formula for forced vibration analysis of the hard-coating cylindrical shell based on the strain energy density principle[J]. Aerospace Science and Technology, 2019, 92: 326-336.
[15] LI H, LV H Y, SUN H, et al. Nonlinear vibrations of fiber-reinforced composite cylindrical shells with bolt loosening boundary conditions[J]. Journal of Sound and Vibration, 2021, 496: 115935.
[16] MALEKZADEH P, HEYDARPOUR Y. Free vibration analysis of rotating functionally graded cylindrical shells in thermal environment[J]. Composite Structures, 2012, 94(9): 2971-2981.
[17] ZHANG L W, SONG Z G, QIAO P Z, et al. Modeling of dynamic responses of CNT-reinforced composite cylindrical shells under impact loads[J]. Computer Methods in Applied Mechanics and Engineering, 2017, 313: 889-903.
[18] YANG S W, ZHANG W, MAO J J. Nonlinear vibrations of carbon fiber reinforced polymer laminated cylindrical shell under non-normal boundary conditions with 1: 2 internal resonance[J]. European Journal of Mechanics-A/Solids, 2019, 74: 317-336.
[19] SHENG G G, WANG X, FU G, et al. The nonlinear vibrations of functionally graded cylindrical shells surrounded by an elastic foundation[J]. Nonlinear Dynamics, 2014, 78(2): 1421-1434.
[20] SHEN H S, XIANG Y. Nonlinear vibration of nanotube-reinforced composite cylindrical shells in thermal environments[J]. Computer Methods in Applied Mechanics and Engineering, 2012, 213-216: 196-205.
[21] SHEN H S, XIANG Y, FAN Y. Nonlinear vibration of functionally graded graphene-reinforced composite laminated cylindrical shells in thermal environments[J]. Composite Structures, 2017, 182: 447-456.
[22] LI H, XUE P C, GUAN Z W, et al. A new nonlinear vibration model of fiber-reinforced composite thin plate with amplitude-dependent property[J]. Nonlinear Dynamics, 2018, 94(3): 2219-2241.
[23] VENKATACHARI A, NATARAJAN S, HABOUSSI M, et al. Environmental effects on the free vibration of curvilinear fibre composite laminates with cutouts[J]. Composites Part B: Engineering, 2016, 88: 131-138.
[24] LI H, SUN W, XU Z. Vibration test and analysis method of fiber reinforced composite sheet[M]. Beijing: China Machine Press, 2020: 78-79 (in Chinese). 李晖, 孙伟, 许卓. 纤维增强复合薄板振动测试与分析方法[M]. 北京: 机械工业出版社, 2020: 78-79.
[25] LI H, WU T F, GAO Z J, et al. An iterative method for identification of temperature and amplitude dependent material parameters of fiber-reinforced polymer composites[J]. International Journal of Mechanical Sciences, 2020, 184: 105818.

E-mail：hkxb@buaa.edu.cn

关于我们

期刊社服务

专业学科

封面文章

友情链接

主管单位：中国科学技术协会主办单位：中国航空学会北京航空航天大学

热环境下纤维增强复合材料圆柱壳非线性振动分析与验证

Analysis and verification of nonlinear vibrations of fiber-reinforced composite cylindrical shells in thermal environment

RichHTML

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	罗圣峰, 王光健, 马小斌, 郑丽丽, 汪瑞军. 钛液滴作用下钛合金薄片火蔓延的数值模拟[J]. 航空学报, 2022, 43(9): 425652-425652.
[2]	肖贵坚, 刘帅, 贺毅, 刘岗, 朱升旺, 宋沙雨. 钛合金激光砂带加工的离焦控制与表面形貌[J]. 航空学报, 2022, 43(4): 525603-525603.
[3]	彭振龙, 张翔宇, 张德远. 航空航天难加工材料高速超声波动式切削方法[J]. 航空学报, 2022, 43(4): 525587-525587.
[4]	陈波, 孟正, 马程远, 席鑫, 王昕欣, 檀财旺, 宋晓国. 扫描振镜激光TC4钛合金焊接性能及熔池流动行为[J]. 航空学报, 2022, 43(4): 525223-525223.
[5]	邹祺, 叶逸云, 焦俊科, 吴志生, 徐子法, 张文武. 碳纤维增强热固性复合材料-钛合金激光连接接头性能分析[J]. 航空学报, 2022, 43(2): 625037-625037.
[6]	刘浩, 陈玉华, 章文滔. Ti/Al无针搅拌摩擦搭接点焊接头组织特征[J]. 航空学报, 2022, 43(2): 624680-624680.
[7]	杨换平, 庄唯, 王耀勉, 剡文斌. 剧烈塑性变形对钛合金热氧化的影响[J]. 航空学报, 2021, 42(9): 424656-424656.
[8]	张志强, 杨凡, 张宏伟, 张天刚. 含稀土TiC_x增强钛基激光熔覆层组织与耐磨性[J]. 航空学报, 2021, 42(7): 624115-624115.
[9]	董志刚, 高宇, 康仁科, 杨国林, 鲍岩. 钛合金螺旋铣孔孔径偏差研究[J]. 航空学报, 2021, 42(3): 423841-423841.
[10]	郭怡东, 马玉娥, 李佩谣. 增材制造钛合金微桁架夹芯板低速冲击响应[J]. 航空学报, 2021, 42(2): 423820-423820.
[11]	袁经纬, 李卓, 汤海波, 程序. 热处理对激光增材制造TC4合金耐蚀性及室温压缩蠕变性能的影响[J]. 航空学报, 2021, 42(10): 524390-524390.
[12]	李远霄, 焦锋, 张世杰, 张顺, 王雪, 童景琳. 高低频复合振动钻削CFRP/钛合金叠层结构试验[J]. 航空学报, 2021, 42(10): 524802-524802.
[13]	张纪奎, 孔祥艺, 马少俊, 刘栋, 王新波, 冯军, 王华明. 激光增材制造高强高韧TC11钛合金力学性能及航空主承力结构应用分析[J]. 航空学报, 2021, 42(10): 525430-525430.
[14]	肖贵坚, 贺毅, 黄云, 李伟, 李泉. 基于单颗粒模型的航发叶片砂带磨削微观仿生锯齿状表面形成及实验[J]. 航空学报, 2020, 41(7): 623288-623288.
[15]	陈联国, 王文盛, 朱知寿, 赵勇, 黄建云, 张海, 彭富华. 大规格损伤容限钛合金TC4-DT的研制及应用[J]. 航空学报, 2020, 41(6): 523454-523454.