Identification of Nonlinear Damping of Fiber-reinforced Composite Thin Plate with Vibration Amplitude Dependent Characteristics Based on Refined Resonance Method

doi:10.3901/JME.2020.12.009

Abstract

Abstract: From the frequency refinement perspective, the refined resonance method is proposed to accurately identify the nonlinear damping parameters of fiber-reinforced composite thin plates. Firstly, based on frequency refining technique and resonance method theory, the expression of nonlinear damping of the composite plate with amplitude dependence is derived, and the theoretical principles of acquiring such nonlinear damping from the frequency-domain measurement are clarified. Then, the correctness of such method is verified by taking a simulation signal as an example, and the influences of frequency resolution and refining multiple on damping identification accuracy are discussed. Finally, a reasonable and standard test procedure is summarized and applied on the real measurement of TC500 carbon fiber/resin composite thin plate. It has been found that the proposed method can be used to quantitatively evaluate nonlinear damping of composite thin plate structure with amplitude dependent characteristics. And as the excitation amplitude increases, its damping property shows a gradually rising tendency.

Key words: fiber-reinforced composite thin plate, nonlinear damping, frequency-domain test, amplitude dependence, refined resonance method

CLC Number:

TB53

LI Hui, CHANG Yongle, HAN Qingkai, WEN Bangchun. Identification of Nonlinear Damping of Fiber-reinforced Composite Thin Plate with Vibration Amplitude Dependent Characteristics Based on Refined Resonance Method[J]. Journal of Mechanical Engineering, 2020, 56(12): 9-18.

References

[1] VINSON J R,SIERAKOWSKI R L,BERT C W. The behavior of structures composed of composite ma-terials[M]. Netherlands:Springer,2008.
[2] 沈观林. 复合材料力学[M]. 北京:清华大学出版社,2006. SHEN Guanlin. Mechanics of composite materials[M]. Beijing:Tsinghua University Press,2006.
[3] 齐红宇,温卫东,崔海涛. 含孔复合材料层合板疲劳寿命预测研究[J]. 航空动力学报,2003,18(5):658-661. QI Hongyu,WEN Weidong,CUI Haitao. Fatigue life predication of notched composite material laminates[J]. Journal of Aerospace Power,2003,18(5):658-661.
[4] LEYENS C,KOCIAN F,HAUSMANN J,et al. Materials and design concepts for high performance compressor components[J]. Aerospace Science and Tech-nology,2003,7(3):201-210.
[5] 温卫东,崔海坡,徐颖. T300/BMP-316复合材料板冲击损伤研究[J]. 航空动力学报,2007,22(5):749-754. WEN Weidong,CUI Haipo,XU Ying. Research on impact damage of T300/BMP-316 composite laminates[J]. Journal of Aerospace Power,2007,22(5):749-754.
[6] LI H,WU H,ZHANG T,et al. A nonlinear dynamic model of fiber-reinforced composite thin plate with temperature dependence in thermal environment[J]. Composites Part B:Engineering,2019,162:206-218.
[7] SHOOSHTARI A,RAZAVI S. A closed form solution for linear and nonlinear free vibrations of composite and fiber metal laminated rectangular plates[J]. Composite Structures,2010,92(11):2663-2675.
[8] ASSARAR M,ZOUARI W,SABHI H,et al. Evaluation of the damping of hybrid carbon-flax reinforced com-posites[J]. Composite Structures,2015,132(1):148-154.
[9] SCHULTZ A B,TSAI S W. Dynamic moduli and damping ratios in fiber-reinforced composites[J]. Journal of Composite Materials,1968,2(3):368-379.
[10] WOLFENDEN A,WOLLA J M. Mechanical damping and dynamic modulus measurements in continuous fiber-reinforced composite materials:Al/Al2O3 and Al/W[J]. Mrs Proceedings,1989,153(1):409-413.
[11] WOLFENDEN A,WOLLA J M. Mechanical damping and dynamic modulus measurements in alumina and tungsten fibre-reinforced aluminium composites[J]. Jour-nal of Materials Science,1989,24(9):3205-3212.
[12] CRANE R M,GILLESPIE J W. Characterization of the vibration damping loss factor of glass and graphite fiber composites[J]. Composites science and technology,1991,40(91):355-375
[13] KOSTOPOULOS V,KORONTZIS D T. A new method for the determination of viscoelastic properties of composite laminates:A mixed analytical-experimental approach[J]. Composites Science and Technology,2003,63(10):1441-1452.
[14] BERTHELOT J M,SEFRANI Y. Damping analysis of unidirectional glass and Kevlar fibre composites[J]. Composites science and technology,2004,64(9):1261-1278.
[15] MATTER M,GMÜR T,CUGNONI J,et al. Num-erical-experimental identification of the elastic and damping properties in composite plates[J]. Composite Structures,2009,90(2):180-187.
[16] IRIONDO J,ARETXABALETA L,AIZPURU A. Characterisation of the elastic and damping properties of traditional FML and FML based on a self-reinforced polypropylene[J]. Composite Structures,2015,131(1):47-54.
[17] 黎大志,陈树年. 复合材料阻尼测试方法及空气阻尼影响的探讨[J]. 振动与冲击,1992,1(1):128-131. LI Dazhi,CHEN Shunian. Study on the test method of the damping of the composite material and the influence of air damping[J]. Vibration and Shock,1992,1(1):128-131.
[18] 李瑞杰,何安荣,徐超,等. 碳纤维增强复合材料结构阻尼性能研究[J]. 宇航材料工艺,2012,42(1):64-67. LI Ruijie,HE Anrong,XU Chao,et al. Structural damping determination of carbon fiber reinforced composite[J]. Aerospace Materials & Technology,2012,42(1):64-67.
[19] CHEN J E,ZHANG W,GUO X Y,et al. Theoretical and experimental studies on nonlinear oscillations of sym-metric cross-ply composite laminated plates[J]. Nonlinear Dynamics,2013,73(3):1697-1714.
[20] 杨云昭,易凯,王建月,等. 国产碳纤维增强树脂基复合材料阻尼性能试验研究[J]. 强度与环境,2014,41(6):402-428 YANG Yunzhao,YI Kai,WANG Jianyue,et al. Experimental investigation of damping performance of domestic carbon fiber reinforced composite materials[J]. Structure & Environment Engineering,2014,41(6):402-428.
[21] LI H,NIU Y,LI Z,et al. Modeling of amplitude-dependent damping characteristics of fiber reinforced composite thin plate[J]. Applied Mathematical Modelling,2020,80:394-407.
[22] WANG Y Y,LAM K Y,LIU G R. The effect of rotatory inertia on the dynamic response of laminated composite plate[J]. Composite Structures,2000,48(4):265-273.