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摘要:
针对导弹在延寿试验过程中振动谱设计精度低、与实际载荷剖面差距大的问题，提出一种基于逆虚拟激励法的导弹振动谱设计方法。首先，建立了导弹-悬架系统四自由度振动模型，推导出系统激励响应关系；然后，对系统时域响应数据进行Fourier变换，得到响应功率谱矩阵并对其进行分解，构造虚拟简谐响应；最后，基于逆虚拟激励法求得系统激励功率谱，并讨论了响应噪声及系统阻尼对识别精度的影响。实验结果表明：本文方法对于随机振动载荷的识别精度较高、鲁棒性好，零噪声识别误差为2.39%，30%噪声条件下识别误差为3.21%。本文方法同样适用于其他装备的振动试验谱的设计。
Abstract:Aimed at the low design precision and larger gap with actual load profile in missile life extension test, a missile vibration spectrum design based on inverse pseudo-excitation method was put forward. First, four-degree-of-freedom vibration model of missile-suspension system was established, and the system frequency response was inferred. Then, the time-domain response data was converted into the response matrix of power spectral density by means of Fourier transform, and harmonic response was constructed based on the decomposition of response matrix of power spectral density. Finally, the system excitation power spectrum was gained based on pseudo-excitation method. At the same time, the effect of response noise and system damping on identification precision was studied. The experimental results show that the inverse pseudo-excitation method has high identification precision and good robustness. When there is no noise, the identification error is 2.39%, and it reaches 3.21% when there is 30% noise. The design means of vibration spectrum is also applicable to other equipment.
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图 1 导弹-悬架系统四自由度振动模型
Figure 1. Four-degree-of-freedom vibration model of missile-suspension system
图 2 运输车前后轮及导弹质心垂直位移PSD
Figure 2. Vertical displacement PSD of front-rear wheels of vehicle and missile centroid
图 3 前轮识别功率谱密度及误差曲线
Figure 3. Identified PSD and identification error curves of front wheels
图 4 后轮识别功率谱密度及误差曲线
Figure 4. Identified PSD and identification error curves of rear wheels
图 5 30%噪声条件下前轮识别功率谱密度及误差曲线
Figure 5. Identified PSD and identification error curves of front wheels under condition of 30% noise
图 6 60%系统阻尼前轮识别功率谱密度及误差曲线
Figure 6. Identified PSD and identification error curves of front wheels under condition of 60% system damping
图 7 30%系统阻尼前轮识别功率谱密度及误差曲线
Figure 7. Identified PSD and identification error curves of front wheels under condition of 30% system damping
表 1 仿真参数
Table 1. Simulation parameters
变量 m1/kg m2/kg m3/kg k1/(kN·m-1) k2/(kN·m-1) k3/(kN·m-1) k4/(kN·m-1) c1/(Ns·m-1) c2/(Ns·m-1) l1/m l2/m A/m wo/(rad·s-1) v/(m·s-1) 数值 1 000 40 45 18 24 190 220 350 600 3 2 20 30 50 
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[1] 李晓松. 随机载荷识别技术在导弹振动试验中的应用研究[D]. 南京: 南京航空航天大学, 2011: 1.LI X S.Application research on stochastic loads identification for missile vibration test[D].Nanjing:Nanjing University of Aeronautics and Astronautics, 2011:1(in Chinese). [2] 郭强玲.空空导弹振动试验条件确定方法[J].航空标准化与质量, 2006(3):34-37. http://www.cnki.com.cn/Article/CJFDTOTAL-HKBZ200603012.htmGUO Q L.Determined method of the vibration test conditions of air to air missile[J].Aeronautic Standardization and Quality, 2006(3):34-37(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-HKBZ200603012.htm [3] 中国人民解放军总装备部.军用装备实验室环境试验方法:GJB 150.16—1986[S].北京:中国人民解放军总装备部军标出版发行部, 1986.The Chinese People's Liberation Army General Armaments Department.Military equipment laboratory test method:GJB 150.16—1986[S].Beijing:The Chinese People's Liberation Army General Armaments Department Military Standard Publication Distribution Department, 1986(in Chinese). [4] 中国人民解放军总装备部.可靠性鉴定和验收试验:GJB 899A—2009[S].北京:中国人民解放军总装备部军标出版发行部, 2009.The Chinese People's Liberation Army General Armaments Department.Reliability evaluation and acceptance test:GJB 899A—2009[S].Beijing:The Chinese People's Liberation Army General Armaments Department Military Standard Publication Distribution Department, 2009(in Chinese). [5] Department of the Air Force.Air and ground equipment of environment test method:MIL-STD-810[S].New York:United States Department of Defense, 1962. [6] 张绍伟, 龚庆祥.导弹全弹振动环境应力筛选方案研究[J].飞航导弹, 2003(3):24-26. http://www.cnki.com.cn/Article/CJFDTOTAL-FHDD200303009.htmZHANG S W, GONG Q X.Research on vibration environment stress screening of whole missile[J].Winged Missiles Journal, 2003(3):24-26(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-FHDD200303009.htm [7] 中国人民解放军总装备部.电子产品环境应力筛选方法:GJB 1032—90 [S].北京:中国人民解放军总装备部军标出版发行部, 1991.The Chinese People's Liberation Army General Armaments Department.Electronic products environmental stress screening methods:GJB 1032—90 [S].Beijing:The Chinese People's Liberation Army General Armaments Department Military Standard Publication Distribution Department, 1991(in Chinese). [8] 陈万创, 李爱国.空空导弹综合环境可靠性试验剖面研究[J].上海航天, 2005, 1(4):41-44. http://www.cnki.com.cn/Article/CJFDTOTAL-SHHT200504011.htmCHEN W C, LI A G.Research on air to air missile combined environment reliability test profile[J].Aerospace Shanghai, 2005, 1(4):41-44(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-SHHT200504011.htm [9] 张策, 王冬, 刘艳, 等.防空导弹的综合环境可靠性试验剖面研究[J].装备环境工程, 2006, 3(5):48-52. http://www.cnki.com.cn/Article/CJFDTOTAL-JSCX200605010.htmZHANG C, WANG D, LIU Y, et al.Antiaircraft missile combined environment reliability test profile research[J].Equipment Environmental Engineering, 2006, 3(5):48-52(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-JSCX200605010.htm [10] 中国人民解放军总装备部.军用设备环境试验方法:GJB 150—86[S].北京:中国人民解放军总装备部军标出版发行部, 1986.The Chinese People's Liberation Army General Armaments Department.Military equipment environment test method:GJB 150—86[S].Beijing:The Chinese People's Liberation Army General Armaments Department Military Standard Publication Distribution Department, 1986(in Chinese). [11] 刘凯.基于实测数据的空空导弹自由飞振动条件制定方法研究[J].装备环境工程, 2014, 11(5):114-118. http://www.cnki.com.cn/Article/CJFDTOTAL-JSCX201405022.htmLIU K.Study on the method of making free flight vibration profile for air-to-air missile based on measured data[J].Equipment Environmental Engineering, 2014, 11(5):114-118(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-JSCX201405022.htm [12] 林家浩, 智浩, 郭杏林.平稳随机振动载荷识别的逆虚拟激励法(一)[J].计算力学学报, 1998, 15(2):127-136. http://www.cnki.com.cn/Article/CJFDTOTAL-JSJG802.000.htmLIN J H, ZHI H, GUO X L.Inverse pseudo excitation method for loading identification of stationary random vibration(1)[J].Chinese Journal of Computational Mechanics, 1998, 15(2):127-136(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-JSJG802.000.htm [13] LIN J H, GUO X L, ZHI H, et al.Computer simulation of structural random loading identification [J].Computers & Structures, 2001, 79(4):375-387. [14] 赵岩, 张亚辉, 林家浩.车辆随机振动功率谱分析的虚拟激励法概述[J].应用数学和力学, 2013, 34(2):107-116. http://www.cnki.com.cn/Article/CJFDTOTAL-YYSX201302002.htmZHAO Y, ZHANG Y H, LIN J H.Summary on the pseudo-excitation method for vehicle random vibration PSD analysis[J].Applied Mathematics and Mechanics, 2013, 34(2):107-116(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-YYSX201302002.htm [15] CAPRANI C C.Application of the pseudo-excitation method to assessment of walking variability on footbridge vibration[J].Computers & Structures, 2014, 132(1):43-54. [16] 侯秀慧, 邓子辰, 黄立新, 等.桥梁结构移动平稳随机载荷识别的新方法[J].计算力学学报, 2009, 26(5):659-663. http://www.cnki.com.cn/Article/CJFDTOTAL-JSJG200905008.htmHOU X H, DENG Z C, HUANG L X, et al.A new method for the identification of a stationary random load moving on bridge structure [J].Chinese Journal of Computational Mechanics, 2009, 26(5):659-663(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-JSJG200905008.htm [17] ZHANG J, ZHAO Y, ZHANG Y H, et al.Identification of the power spectral density of vertical track irregularities based on inverse pseudo-excitation method and symplectic mathematical method[J].Inverse Problems in Science & Engineering, 2014, 22(2):334-350. [18] LV Z H, LI K, CHEN K M, et al.Grinding load identification of an Horomill using inverse pseudo excitation method[J].Advanced Materials Research, 2012, 496(2):243-246. https://www.scientific.net/AMR.496.243 [19] ZHANG Y W, ZHAO Y, ZHANG Y H, et al.Riding comfort optimization of railway trains based on pseudo-excitation method and symplectic method[J].Journal of Sound & Vibration, 2013, 332(21):5255-5270. http://www.sciencedirect.com/science/article/pii/S0022460X1300446X [20] 秦玉英, 李杰, 田国红, 等.基于虚拟激励法的载货汽车随机振动仿真[J].拖拉机与农用运输车, 2011, 38(1):89-92. http://www.cnki.com.cn/Article/CJFDTOTAL-TLJY201101027.htmQIN Y Y, LI J, TIAN G H, et al.Truck random vibration simulation based on pseudo-excitation method[J].Tractor & Farm Transporter, 2011, 38(1):89-92(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-TLJY201101027.htm [21] 林家浩, 钟万勰.辛数学·精细积分·随机振动及应用[M].合肥:中国科学技术大学出版社, 2008.LIN J H, ZHONG W X.Precise integration, random vibration and application[M].Hefei:Press of University of Science and Technology of China, 2008(in Chinese). [22] 张丽萍, 郭立新.基于逆虚拟激励法的随机路面谱的识别方法[J].东北大学学报, 2012, 33(2):258-261. http://www.cnki.com.cn/Article/CJFDTOTAL-DBDX201202027.htmZHANG L P, GUO L X.Identification of random road spectrum based on inverse pseudo-excitation method[J].Journal of Northeastern University, 2012, 33(2):258-261(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-DBDX201202027.htm -
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