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

Abstract

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

CLC Number:

V257
O313.4

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.

References

[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.

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

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments

[1]	Xiangtao MA, Fayao WANG, Yingjie ZHU, Peng HAO, Bo WANG, Guanri LIU. Accelerated optimization design of stiffened cylindrical shell for imperfection tolerance [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(1): 226430-226430.
[2]	FU Yang'aoxiao, DING Mingsong, LIU Qingzong, JIANG Tao, SHI Run, DONG Weizhong, GAO Tiesuo. Numerical study of hot jet interaction effect in divert control system [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(9): 125941-125941.
[3]	LIU Zhihui, NIU Junchuan, JIA Ruihao. Energy flow model for high-frequency vibration of beams in thermal-gradient environment [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(5): 425336-425336.
[4]	XIAO Guangming, ZHANG Chao, GUI Yewei, DU Yanxia, LIU Lei, WEI Dong. TLBM-FVM cross-scale method for thermal environment prediction of aircraft cabin [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(9): 625710-625710.
[5]	CHEN Xiangming, YAO Liaojun, GUO Licheng, SUN Yi. 3D printed continuous fiber-reinforced composites: State of the art and perspectives [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(10): 524787-524787.
[6]	DING Mingsong, DONG Weizhong, GAO Tiesuo, JIANG Tao, LIU Qingzong. Computational analysis of influence of differences in local catalytic properties on aero-thermal environment [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018, 39(3): 121588-121588.
[7]	WANG Jizhen, LIU Xiaochuan. Test of bird striking on panel and identification method for bird constitutive parameters [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(S1): 721550-721550.
[8]	DING Mingsong, JIANG Tao, DONG Weizhong, GAO Tiesuo, LIU Qingzong. Numerical simulation of 3D plasma MHD aero-thermal environment [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(8): 121030-121030.
[9]	WANG Bo, TIAN Kuo, ZHENG Yanbing, HAO Peng, ZHANG Ke. A rapid buckling analysis method for large-scale grid-stiffened cylindrical shells [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(2): 220379-220387.
[10]	ZHAO Tian, YANG Zhichun, TIAN Wei, CHEN Zhaolin. Vibration and acoustic radiation characteristics analysis of composite laminated plate in hygrothermal environments [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(10): 221038-221038.
[11]	ZHANG Wenfan, ZHANG Jiazhong, CAO Shengli. Suppression of aeroelastic instability of 2-D wing by nonlinear energy sinks [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016, 37(11): 3249-3262.
[12]	YANG Xin, HONG Jie, MA Yanhong, ZHANG Dayi. Test investigation on vibration control of intelligent beam with shape memory alloy [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(7): 2251-2259.
[13]	ZHANG Jing, GUO Hongwei, LIU Rongqiang, DENG Zongquan. Influence Analysis of Joints on Nonlinear Dynamic Characteristics of Articulated Structures [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014, 35(5): 1433-1445.
[14]	WU Zhenqiang, CHENG Hao, ZHANG Wei, LI Haibo, KONG Fanjin. Effects of Thermal Environment on Dynamic Properties of Aerospace Vehicle Panel Structures [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2013, 34(2): 334-342.
[15]	WU Dafang, ZHAO Shougen, PAN Bing, WANG Yuewu, MU Meng, WU Shuang. Research on Thermal-vibration Joint Test for Wing Structure of High-speed Cruise Missile [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2012, 33(9): 1633-1642.