Prediction of the dynamic stiffnesses of fiber-reinforced composite thin shells based on the multilevel correction technique
LI Hui1,2,ZHOU Zhengxue1,2,XUE Pengcheng1,2,HAN Qingkai1,2
1.School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, China;
2.Key Laboratory of Vibration and Control of Aero-Propulsion System Ministry of Education, Northeastern University, Shenyang 110819, China
Abstract:The dynamic stiffnesses of fiber reinforced composite shells were analyzed and predicted based on the multi-level correction method.Firstly,a sinusoidal half-wave signal was used to approximate the impulse excitation signal,and the dynamic stiffnesses of the composite shell were studied based on the Love shell theory,energy method and Hamiltonian principle.Next,in order to obtain a more accurate dynamic stiffness model of the composite thin shells,the multi-level correction technique and the experimental data were employed to correct the length,radius,thickness,elastic modulus,Poisson's ratio and modal damping ratio.Finally,a T300 fiber/epoxy composite thin shell was taken as a study object and a corresponding vibration test system was set up.The pulse signal was applied by a hammer and the dynamic stiffnesses at three response points were tested by the laser speed sensor.The experimental results were compared with the calculated results.It is found that the predicted errors of the dynamic stiffnesses at the above points are less than 12.2%,which are within an acceptable range.Thus,the correctness of the proposed prediction method for dynamic stiffnesses was verified.
李晖1,2,周正学1,2,薛鹏程1,2,韩清凯1,2. 基于多层次修正的纤维增强复合薄壳动刚度预测[J]. 振动与冲击, 2019, 38(2): 52-58.
LI Hui1,2,ZHOU Zhengxue1,2,XUE Pengcheng1,2,HAN Qingkai1,2. Prediction of the dynamic stiffnesses of fiber-reinforced composite thin shells based on the multilevel correction technique. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(2): 52-58.
[1] Jafari A A, Khalili S M R, Azarafza R. Transient dynamic response of composite circular cylindrical shells under radial impulse load and axial compressive loads[J]. Thin-Walled Structures, 2005, 43(11):1763-1786.
[2] 杜善义. 先进复合材料与航空航天[J]. 复合材料学报, 2007, 24(1):1-12.
Du Shanyi. Advanced composite materials and aerospace engineering[J]. Journal of Acta Materiae Compositae Sinica, 2007, 24(1):1-12.
[3] Qatu M S, Sullivan R W, Wang W. Recent research advances on the dynamic analysis of composite shells: 2000–2009[J]. Composite Structures, 2010, 93(1):14-31.
[4] Kaw A K. Mechanics of composite materials [M]. Boca Raton: The Chemical Rubber Company Press, 2005.
[5] 陈辉. 复合材料圆柱壳的振动频率分析[J]. 纤维复合材料学报, 1989,12(3):12-21.
Chen Hui. Vibration frequency analysis of composite cylindrical shell[J]. Journal of Fiber Composite, 1989,12(3):12-21.
[6] Mangalgiri P D. Composite materials for aerospace applications [J]. Bulletin of Materials Science, 1999, 22(3):657-664.
[7] Morgan P. Carbon fibers and their composites [M]. Boca Raton: The Chemical Rubber Company Press, 2005.
[8] Weaver W, Timoshenko S P, Young D H. Vibration problems in engineering [M]. Hoboken: Wiley, 1990.
[9] 刘伟, 王磊, 俞强,等. 船舶推力轴承纵向液压减振技术研究[J]. 舰船科学技术, 2016, 38(5):59-62.
Liu Wei, Wang Lei, Yu Qiang, et al. Research of reducing axial vibration with hydraulic shock absorber in ship’s thrust bearing[J]. Ship Science and Technology, 2016, 38(5):59-62.
[10] Kaynia A M, Kausel E. Dynamic stiffness and seismic response of pile groups[R]. Nasa Sti/recon Technical Report-R82-03, 1982.
[11] Marsh E R, Yantek D S. EXPERIMENTAL MEASUREMENT OF PRECISION BEARING DYNAMIC STIFFNESS[J]. Journal of Sound & Vibration, 1997, 202(1):55-66.
[12] Nakamura N. Nonlinear Response Analysis Considering Dynamic Stiffness with Both Frequency and Strain Dependencies[J]. Journal of Engineering Mechanics, 2008, 134(7):530-541.
[13] Tileylioglu S, Stewart J P, Nigbor R L. Dynamic Stiffness and Damping of a Shallow Foundation from Forced Vibration of a Field Test Structure[J]. Journal of Geotechnical & Geoenvironmental Engineering, 2011, 137(4):344-353.
[14] Frangoudis C, Rashid A, Nicolescu C M. Experimental Analysis of a Machining System with Adaptive Dynamic Stiffness[J]. Journal of Machine Engineering, 2014, 13(1):49-63.
[15] 石清鑫, 袁奇, 胡永康. 250t高速动平衡机摆架的动刚度分析[J]. 机械工程学报, 2011, 47(1):75-79.
Shi Qingxin, Yuan Qi, Hu Yongkang. Analysis of Dynamic Stiffness of 250 t High Speed Dynamic Balancing Machine[J]. Journal of Mechanical Engineering, 2011, 47(1): 75-79.
[16] 袁占航. 反共振振动筛的几个关键技术及仿真研究[D]. 东北大学, 2011.
Yuan Zhanhang. Research of Several Key Technologies and Simulate of the Anti-resonance Sieve [D]. Northeastern University, 2011.
[17] 李宇菲. 复合材料汽车板簧的优化设计及其有限元分析[D]. 武汉理工大学, 2012.
Li Yufei. Optimization Design And Finite Element analysis of Composite Material Automobile Leaf Spring [D]. Wuhan University of Technology, 2012.
[18] 欧鸣雄, 王岩, 严建华,等. 立式循环泵结构动刚度对转子振动特性的影响[J]. 核动力工程, 2013, 34(6):36-39.
Ou Mingxiong, Wang Yan, Yan Jianhua, et al. Influence of Structural Dynamic Stiffness of Vertical Circulating Pump on Vibration Characteristics of Rotor[J]. Nuclear Power Enginnering, 2013, 34(6):36-39.
[19] 邓四二, 董晓, 崔永存,等. 双列角接触球轴承动刚度特性分析[J]. 兵工学报, 2015, 36(6):1140-1146.
Deng Sier, Dong Xiao, Cui Yongcun, et al. Analysis of Dynamic Stiffness Characteristics of Double•row Angular Contact Ball Bearings[J]. Acta Armam, 2015, 36(6):1140-1146.
[20] 曹志远. 板壳振动理论[M]. 中国铁道出版社, 1989.
Cao Zhiyuan, Vibration theory of plates and shells [M]. China Railway Publishing House, 1989.
[21] Lam K Y, Loy C T. Influence of boundary conditions and fibre orientation on the natural frequencies of thin orthotropic laminated cylindrical shells[J]. Composite Structures, 1995, 31(1):21–30.
[22] Luke D A. Multilevel modeling[M]. Sage Publications, Inc, 2004.