弹簧-金属丝网橡胶组合减振器迟滞力学模型及实验研究
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摘要
金属丝网橡胶材料是一种完全由金属丝编织成的多孔复合材料,与传统螺旋卷制金属橡胶材料相比,其改进了成型工艺,剔除了制备过程中大量的手工工艺干扰,提高机械化程度,重合度更高,拥有更稳定的力学性能.由于金属丝网橡胶材料具有承载能力高、阻尼大、耐高温、耐低温、耐老化、抗油抗腐蚀等优良特性,在很多方面强于传统橡胶,多用于航空航天、船舶、军事武器等军工工业.弹簧-金属丝网橡胶组合减振器具有可设计刚度和较高承载能力,但因其具有复杂的非线性迟滞特性,目前相关材料的本构模型还难以准确描述其力学特性.本文在弹簧-金属丝网橡胶组合减振器静态迟滞力学性能实验的基础上,结合其干摩擦阻尼迟滞特性,提出了一种迟滞力学性能理论模型.根据减振器迟滞实验恢复力-位移曲线特点,利用参数分离的方法将迟滞曲线分解为弹性恢复力和干摩擦阻尼力,分别建模求解等效刚度和干摩擦阻尼系数,以此建立了组合减振器理论模型,并与实验结果进行对比及进行误差分析,验证了理论模型的准确性.
Metal-net rubber is a porous material composed entirely of metal wire woven. Compared with the traditional spiral coiled metal rubber material, the molding technology of metal-net rubber material is improved, which eliminates a large number of manual process interferences in preparation process. The metal-net rubber material has higher mechanization degree, better coincidence and more stable mechanical properties. With the excellent characteristics of bearing capacity, large damping, high temperature resistance, low temperature resistance, aging resistance, oil and corrosion resistance, metal-net rubber material is better than traditional rubber in many ways, which is widely used in aerospace,shipbuilding, military weapons and other military industries. Spring metal-net rubber combination damper has designablestiffness and high bearing capacity. Because of its complex nonlinear hysteresis characteristics, the constitutive model of related materials is difficult to describe its mechanical properties accurately. Based on the static hysteresis mechanical performance experiment of spring metal-net rubber combination damper, combined with the hysteresis characteristics of dry friction damping, a theoretical modeling model of hysteresis mechanical properties is proposed. According to the characteristics of restoring force-displacement curve of damper hysteresis experiment, the hysteresis curve is decomposed into elastic recovery force and dry friction damping force by parameter separation method. The equivalent stiffness and dry friction damping coefficient are solved respectively by modeling to establish the theoretical model of the combination damper. By comparing with the experimental results, the error analysis is carried out to verify the accuracy of the theoretical model.
Metal-net rubber is a porous material composed entirely of metal wire woven. Compared with the traditional spiral coiled metal rubber material, the molding technology of metal-net rubber material is improved, which eliminates a large number of manual process interferences in preparation process. The metal-net rubber material has higher mechanization degree, better coincidence and more stable mechanical properties. With the excellent characteristics of bearing capacity, large damping, high temperature resistance, low temperature resistance, aging resistance, oil and corrosion resistance, metal-net rubber material is better than traditional rubber in many ways, which is widely used in aerospace,shipbuilding, military weapons and other military industries. Spring metal-net rubber combination damper has designablestiffness and high bearing capacity. Because of its complex nonlinear hysteresis characteristics, the constitutive model of related materials is difficult to describe its mechanical properties accurately. Based on the static hysteresis mechanical performance experiment of spring metal-net rubber combination damper, combined with the hysteresis characteristics of dry friction damping, a theoretical modeling model of hysteresis mechanical properties is proposed. According to the characteristics of restoring force-displacement curve of damper hysteresis experiment, the hysteresis curve is decomposed into elastic recovery force and dry friction damping force by parameter separation method. The equivalent stiffness and dry friction damping coefficient are solved respectively by modeling to establish the theoretical model of the combination damper. By comparing with the experimental results, the error analysis is carried out to verify the accuracy of the theoretical model.
引文
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13高笛,马艳红,洪杰.压缩比对金属橡胶结构和压缩力学性能影响.航空动力学报,2016,31(3):575-580(Gao Di,Ma Yanhong,Hong Jie.Influence of compression ratio on microstructure and mechanical behavior of metal rubber.Journal of Aerospace Power,2016,31(3):575-580(in Chinese))
14余慧杰,许亚辉,刘文慧.常用金属橡胶静刚度理论模型比较研究.功能材料,2017,48(11):11141-11146(Yu Huijie,Xu Yahui,Liu Wenhui.The comparison of common static stiffness theory model of metal rubber.Journal of Functional Materials,2017,48(11):11141-11146(in Chinese))
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17 Zhang B,Lang ZQ,Billings SA,et al.System identification methods dor metal rubber devices.Mechanical Systems and Signal Processing,2013,39(1-2):207-226
18 Ma YH,Liang ZC,Wang H,et al.Theoretical and experimental steadystate rotordynamics of an adaptive air film damper with metal rubber.Journal of Sound and Vibration,2013,332(22):5710-5726
19杨坤鹏,樊文欣,曹存存等.金属橡胶材料的动态力学建模及参数辨识.机械科学与技术,2017,36(12):1830-1833(Yang Kunpeng,Fan Wenxin,Cao Cuncun,et al.Dynamic mechanical modeling and parameter identification of metal-rubber materials.Mechanical Science and Technology for Aerospace Engineering,2017,36(12):1830-1833(in Chinese))
20陈艳秋,郭宝亭,朱梓根.金属橡胶减震垫刚度特性及本构关系研究.航空动力学报,2002,17(4):416-420(Chen Yanqiu,Guo Baoting,Zhu Zigen.The investigation of the stiffness characteristics and the stress-strain relation of metal rubber.Journal of Aerospace Power,2002,17(4):416-420(in Chinese))
21李宇明,郑坚,白鸿柏.金属橡胶材料的动态力学模型.材料研究学报,2003,17(5):499-504(Li Yuming,Zheng Jian,Bai Hongbai.Dynamic mechanics model of metal-rubber materials.Chinese Journal of Materials Research,2003,17(5):499-504(in Chinese))
22白鸿柏,郑坚,张培林等.2自由度迟滞振动系统简谐激励响应的等效线性化计算方法研究.机械工程学报,2000,36(11):90-93(Bai Hongbai,Zheng Jian,Zhang Peilin,et al Equivalent linearization approximate method of response computation of a two degree of freedom hysteretic vibration system under sinusoidal excitation.Journal of Mechanical Engineering,2000,36(11):90-93(in Chinese))
23白鸿柏,黄协清.干摩擦振动系统响应计算方法研究.振动工程学报,1998,11(4):473-475(Bai Hongbai,Huang Xieqing.Study on response computation of dry friction damped vibration system.Journal of Vibration Engineering,1998,11(4):473-475(in Chinese))
24高永毅,陈安华,郭源君.金属橡胶隔振器的非线性动力学.中国有色金属学报,2009,19(12):2216-2221(Gao Yongyi,Chen Anhua,Guo Yuanjun.Nonlinear dynamics of metal rubber damper.The Chinese Journal of Nonferrous Metals,2009,19(12):2216-2221(in Chinese))
25姜洪源,敖宏瑞,李瑰贤等.金属橡胶隔振器动力学模型与分析.湖南科技大学学报(自然科学版),2004,19(3):23-27(Jiang Hongyuan,Ao Hongrui,Li Guixian,et al.Modeling and analysis of dynamic characteristics of metal rubber isolator.Journal of Hunan University of Science&Technology(Natural Science Edition),2004,19(3):23-27(in Chinese))
26 Zhang RH,Jiang HY,Zhao KD.Damping characteristics analysis of squeeze film damperwith metal rubber.Journal of Harbin Institute of Technology,2006,13(2):146-150
27 Ma YH,Zhang QC,Zhang DY,et al.Turning the vibration of a rotor with shape memory alloy metal rubber supports.Journal of Sound and Vibration,2015,351(5):1-16
28路纯红,白鸿柏.金属橡胶/橡胶复合叠层耗能器试验建模与参数辨识.振动与冲击,2007,26(11):5-8(Lu Chunhong,Bai Hongbai.Dynamic modeling and parameter identification of metal rubber/rubber composite laminated energy dissipater.Journal of Vibration and Shock,2007,26(11):5-8(in Chinese))
29路纯红,白鸿柏,胡仁喜.金属橡胶/橡胶复合叠层耗能器动力学模型.噪声与振动控制,2007,27(4):493-497(Lu Chunhong,Bai Hongbai,Hu Renxi.Dynamic modeling and of metal rubber/rubber composite laminated damper.Noise and Vibration Control,2007,27(4):493-497(in Chinese))
30曹凤利,白鸿柏,任国全等.金属橡胶恢复力的迟滞模型研究.中国机械工程,2014,25(3):311-314,320(Cao Fengli,Bai Hongbai,Ren Guoquan,et al.Research on hysteresis model of restoring force of metal rubber.China Mechanical Engineering,2014,25(3):311-314,320(in Chinese))
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35邹广平,刘泽,程贺章等.预紧量与振动量级对金属橡胶减振器振动特性影响研究.振动与冲击,2016,34(22):173-177(Zou Guangping,Liu Ze,Cheng Hezhang,et al.Effects of preloading and vibration level on the vibration characteristics of metal rubber damper.Journal of Vibration and Shock,2016,34(22):173-177(in Chinese))
2陆泽琦,陈立群.非线性被动隔振的若干进展.力学学报,2017,49(3):550-564(Lu Zeqi,Chen Liqun.Some recent progresses in nonlinear passive isolations of vibrations.Chinese Journal of Theoretical and Applied Mechanics,2017,49(3):550-564(in Chinese))
3徐赵东,徐超,徐业守.微振激励下黏弹性阻尼器微观链结构力学模型.力学学报,2016,48(3):675-683(Xu Zhaodong,Xu Chao,Xu Yeshou.Microscopic molecular chain structure model of viscoelastic damper under micro-vibration excitations.Chinese Journal of Theoretical and Applied Mechanics,2016,48(3):675-683(in Chinese))
4刘俊,陈林聪,孙建桥.随机激励下滞迟系统的稳态响应闭合解.力学学报,2017,49(3):685-692(Liu Jun,Chen Lincong,Sun Jianqiao.The closed-form solution of steady state response of hysteretic system under stochastic excitation.Chinese Journal of Theoretical and Applied Mechanics,2017,49(3):685-692(in Chinese))
5马强,周凤玺,刘杰.梯度波阻板的地基振动控制研究.力学学报,2017,49(6):1360-1369(Ma Qiang,Zhou Fengxi,Liu Jie.Analysis of ground vibration control by graded wave impeding block.Chinese Journal of Theoretical and Applied Mechanics,2017,49(6):1360-1369(in Chinese))
6胡志平,周汉,吴九汇.基于湍流类比的金属橡胶吸声特性定量分析.力学学报,2012,44(2):197-204(Hu Zhiping,Zhou Han,Wu Jiuhui.Thrbulent like quantitative analysis on the sound absorbing characteristics of metal rubber.Chinese Journal of Theoretical and Applied Mechanics,2012,44(2):197-204(in Chinese))
7李玉龙,白鸿柏,何忠波.金属橡胶非线性减振系统混沌特性研究.北京理工大学学报,2016,36(5):491-497(Li Yulong,Bai Hongbai,He Zhongbo.Chaotic characteristic of nonlinear metal rubber vibration isolation system.Transactions of Beijing Institute of Technology,2011,2016,36(5):491-497(in Chinese))
8杨坤鹏,樊文欣,朱家萱.金属橡胶隔振器的非线性响应特性.科学技术与工程,2017,17(28):176-180(Yang Kunpeng,Fan Wenxin,Zhu Jiaxuan.The nonlinear response characteristics of the metal rubber absorber.Science Technology and Engineering,2017,17(28):176-180(in Chinese))
9余慧杰,刘文慧,王亚苏.金属橡胶静刚度特性及其力学模型研究.中国机械工程,2016,27(23):3167-3171(Yu Huijie,Liu Wenhui,Wang Yasu.Research on stiffness characteristics and mechanics model of metal rubber.China Mechanical Engineering,2016,27(23):3167-3171(in Chinese))
10李玉龙,白鸿柏,何忠波等.金属橡胶消极减振系统复杂响应特性研究.振动与冲击,2016,35(4):87-92(Li Yulong,Bai Hongbai,He Zhongbo,et al.Complex response characteristics of a passive metal-rubber vibration isolation system.Journal of Vibration and Shock,2016,35(4):87-92(in Chinese))
11吴荣平,白鸿柏,路纯红.金属橡胶压缩性能影响因素及细观模型研究.科学技术与工程,2018,18(2):66-71(Wu Rongping,Bai Hongbai,Lu Chunhong.Influencing factors of compression properties and mesoscopic model of metal rubber.Science Technology and Engineering,2018,18(2):66-71(in Chinese))
12马艳红,张启成,张大义等.静载荷作用下金属橡胶失效判据及耐久性试验.北京航空航天大学学报,2016,42(2):227-235(Ma Yanhong,Zhang Qicheng,Zhang Dayi,et al.Failure criterion and durability characteristics of metal rubber under static compression load.Journal of Beijing University of Aeronautics and Astronautics,2016,42(2):227-235(in Chinese))
13高笛,马艳红,洪杰.压缩比对金属橡胶结构和压缩力学性能影响.航空动力学报,2016,31(3):575-580(Gao Di,Ma Yanhong,Hong Jie.Influence of compression ratio on microstructure and mechanical behavior of metal rubber.Journal of Aerospace Power,2016,31(3):575-580(in Chinese))
14余慧杰,许亚辉,刘文慧.常用金属橡胶静刚度理论模型比较研究.功能材料,2017,48(11):11141-11146(Yu Huijie,Xu Yahui,Liu Wenhui.The comparison of common static stiffness theory model of metal rubber.Journal of Functional Materials,2017,48(11):11141-11146(in Chinese))
15 Zhang DY,Fabrizio S,Ma YH,et al.Compression mechanics of nickel-based superalloy metal rubber.Materials Science&Engineering A,2013,(580):305-312
16 Ma YH,Zhang QC,Zhang DY,et al.The mechanics of shape memory alloy metal rubber.Acta Materialia,2015,(96):89-100
17 Zhang B,Lang ZQ,Billings SA,et al.System identification methods dor metal rubber devices.Mechanical Systems and Signal Processing,2013,39(1-2):207-226
18 Ma YH,Liang ZC,Wang H,et al.Theoretical and experimental steadystate rotordynamics of an adaptive air film damper with metal rubber.Journal of Sound and Vibration,2013,332(22):5710-5726
19杨坤鹏,樊文欣,曹存存等.金属橡胶材料的动态力学建模及参数辨识.机械科学与技术,2017,36(12):1830-1833(Yang Kunpeng,Fan Wenxin,Cao Cuncun,et al.Dynamic mechanical modeling and parameter identification of metal-rubber materials.Mechanical Science and Technology for Aerospace Engineering,2017,36(12):1830-1833(in Chinese))
20陈艳秋,郭宝亭,朱梓根.金属橡胶减震垫刚度特性及本构关系研究.航空动力学报,2002,17(4):416-420(Chen Yanqiu,Guo Baoting,Zhu Zigen.The investigation of the stiffness characteristics and the stress-strain relation of metal rubber.Journal of Aerospace Power,2002,17(4):416-420(in Chinese))
21李宇明,郑坚,白鸿柏.金属橡胶材料的动态力学模型.材料研究学报,2003,17(5):499-504(Li Yuming,Zheng Jian,Bai Hongbai.Dynamic mechanics model of metal-rubber materials.Chinese Journal of Materials Research,2003,17(5):499-504(in Chinese))
22白鸿柏,郑坚,张培林等.2自由度迟滞振动系统简谐激励响应的等效线性化计算方法研究.机械工程学报,2000,36(11):90-93(Bai Hongbai,Zheng Jian,Zhang Peilin,et al Equivalent linearization approximate method of response computation of a two degree of freedom hysteretic vibration system under sinusoidal excitation.Journal of Mechanical Engineering,2000,36(11):90-93(in Chinese))
23白鸿柏,黄协清.干摩擦振动系统响应计算方法研究.振动工程学报,1998,11(4):473-475(Bai Hongbai,Huang Xieqing.Study on response computation of dry friction damped vibration system.Journal of Vibration Engineering,1998,11(4):473-475(in Chinese))
24高永毅,陈安华,郭源君.金属橡胶隔振器的非线性动力学.中国有色金属学报,2009,19(12):2216-2221(Gao Yongyi,Chen Anhua,Guo Yuanjun.Nonlinear dynamics of metal rubber damper.The Chinese Journal of Nonferrous Metals,2009,19(12):2216-2221(in Chinese))
25姜洪源,敖宏瑞,李瑰贤等.金属橡胶隔振器动力学模型与分析.湖南科技大学学报(自然科学版),2004,19(3):23-27(Jiang Hongyuan,Ao Hongrui,Li Guixian,et al.Modeling and analysis of dynamic characteristics of metal rubber isolator.Journal of Hunan University of Science&Technology(Natural Science Edition),2004,19(3):23-27(in Chinese))
26 Zhang RH,Jiang HY,Zhao KD.Damping characteristics analysis of squeeze film damperwith metal rubber.Journal of Harbin Institute of Technology,2006,13(2):146-150
27 Ma YH,Zhang QC,Zhang DY,et al.Turning the vibration of a rotor with shape memory alloy metal rubber supports.Journal of Sound and Vibration,2015,351(5):1-16
28路纯红,白鸿柏.金属橡胶/橡胶复合叠层耗能器试验建模与参数辨识.振动与冲击,2007,26(11):5-8(Lu Chunhong,Bai Hongbai.Dynamic modeling and parameter identification of metal rubber/rubber composite laminated energy dissipater.Journal of Vibration and Shock,2007,26(11):5-8(in Chinese))
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