钢丝绳芯橡胶输送带广义本构模型建立与实验验证
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摘要
从钢丝绳芯橡胶输送带所具有的钢丝绳和橡胶双重物理特性出发,通过将钢丝绳芯和橡胶覆盖层本构模型的组合来获得输送带整体的本构模型。采用Kelvin模型描述钢丝绳芯的本构模型,采用标准固体模型描述覆盖层橡胶的本构模型,通过将一个标准固体模型与多个Kelvin模型进行并联叠加组合推导了简谐应变下输送带的应力表达式,构建了输送带的广义本构数学模型。分别对钢丝绳芯和橡胶基体进行了动应变加载实验,获取了两者的本构模型参数,再利用广义本构模型对输送带的粘弹性力学特性进行预测。最后对输送带进行了动应变加载实验,并将实验结果与广义本构模型计算结果进行了对比。结果表明,通过计算钢丝绳芯的本构模型参数、覆盖层橡胶的本构模型参数及钢丝绳与橡胶覆盖层的体积比,能够较为准确的描述输送带的粘弹性力学行为,所建立的广义本构模型具有较高的精度。
According to the dual physical characteristics of the steel wire and the rubber possessed by the rubber conveyor belt with the steel wire core,the constitutive model of the entire conveyor belt is obtained by combining the constitutive model of the steel wire core and that of the rubber cladding. The Kelvin model is employed to describe the constitutive model of the steel wire,the standard solid model is employed to describe the constitutive model of the rubber cladding,the stress expression of the conveyor belt under the harmonic strain is derived by the parallel superposition combination of a standard solid model and the multiple Kelvin models,and the generalized constitutive model of the conveyor belt is established. The experiments of the dynamic strain loading on the steel wire and the rubber base body are performed respectively,and the parameters for the two constitutive models are obtained,and the prediction of the visco-elastic mechanics characteristics by applying the generalized constitutive model is performed. The experiment of the dynamic strain loading on the conveyor belt is carried out,the comparison between the experimental result and the computational result of the generalized constitutive model is performed. The result shows that by calculating the parameters of the steel wire,the parameters of the rubber cladding and the volume ratio of the steel wire to the rubber cladding,the visco-elastic mechanics characteristics of the conveyor belt can be described precisely,and the accuracy of the generalized constitutive model is high.
According to the dual physical characteristics of the steel wire and the rubber possessed by the rubber conveyor belt with the steel wire core,the constitutive model of the entire conveyor belt is obtained by combining the constitutive model of the steel wire core and that of the rubber cladding. The Kelvin model is employed to describe the constitutive model of the steel wire,the standard solid model is employed to describe the constitutive model of the rubber cladding,the stress expression of the conveyor belt under the harmonic strain is derived by the parallel superposition combination of a standard solid model and the multiple Kelvin models,and the generalized constitutive model of the conveyor belt is established. The experiments of the dynamic strain loading on the steel wire and the rubber base body are performed respectively,and the parameters for the two constitutive models are obtained,and the prediction of the visco-elastic mechanics characteristics by applying the generalized constitutive model is performed. The experiment of the dynamic strain loading on the conveyor belt is carried out,the comparison between the experimental result and the computational result of the generalized constitutive model is performed. The result shows that by calculating the parameters of the steel wire,the parameters of the rubber cladding and the volume ratio of the steel wire to the rubber cladding,the visco-elastic mechanics characteristics of the conveyor belt can be described precisely,and the accuracy of the generalized constitutive model is high.
引文
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[14]杜永峰,赵丽洁,李万润.基础隔震结构橡胶支座时变非线性特性识别[J].振动、测试与诊断,2016,36(1):86-93.DU Yong Feng,ZHAO Li Jie,Li WanRun.Rubber bearing for timevarying nonlinear characteristic identification of base-isolated structure[J].Vibration Test and Diagnosis,2016,36(1):86-93(In Chinese).
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[2]刘月琴,孙连生,黄松元.输送带力学性能参数测试方法的研究[J].橡胶工业,1994,41(03):174-176.LIU Yue Qing,SUN Lian Sheng,HUANG Song Yuan.Study on the conveyor belt mechanical properties test method[J].Rubber industry,1994,41(03):174-176(In Chinese).
[3]毛君,解本铭,孙国敏.带式输送机动态设计理论与应用[M].辽宁:辽宁科学技术出版社,1996:67-72.MAO Jun,XIE Ben Ming,SUN Guo Min.Belt conveyor dynamic design theory and application[M].Liaoning:Liaoning Science and Technology Press,1996:67-72(In Chinese).
[4]张伟杰,赵喜敬,王宏伟,等.输送带动态模型分析[J].煤矿机械,2008,29(08):66-68.ZHANG Wei Jie,ZHAO Xi Jing,WANG Hong Wei,et al.Dynamic model analysis of conveyor belt[J].Coal Mining Machinery,2008,29(08):66-68(In Chinese).
[5]张晓君.胶带输送机输送带的动力学模型及分析方法[J].机械管理开发,2015,(10):10-12.ZHANG Xiao Jun.Dynamic model and analysis of belt conveyor belt[J].Machinery Management Development,2015,(10):10-12(In Chinese).
[6]侯红伟.输送带黏弹性模型分析[J].煤矿机电,2014(6):1-3HOU Hong Wei.Analysis of viscoelastic model of conveyor belt[J].Coal Mine Mechanical and Electrical,2014(6):1-3(In Chinese).
[7]陈洪月,白杨溪,毛君,等.工况激励下采煤机7自由度非线性振动分析[J].机械强度,2017,39(01):1-6.CHEN Hong Yue,BAI Yang Xi,MAO Jun,et al.7-Dof nonlinear vibration analysis of shearer under condition excitation[J].Journal of Mechanical Strength,2017,39(01):1-6(In Chinese).
[8]白雪艳,白杰,石浩,等.带式输送机系统的动态分析[J].机械工程师,2015,(07):39-42.BAI Xue Yan,BAI Jie,SHI Hao,et al.Dynamic analysis of belt conveyer system[J].Mechanical Engineer,2015,(07):39-42(In Chinese).
[9]卢岩,张荣鹏,林福严,等.基于三元件Maxwell模型的带式输送机压陷阻力的研究[J].矿山机械,2014,42(03):42-46.LU Yan,ZHANG Rong Fu,LIN Fu Yan,et al.Maxwell model based on three components of the study of SAG resistance of beltconveyor[J].Mining Machinery,2014,42(03):42-46(In Chinese).
[10]张小玉,黄乾钰,陈建中,等.聚合物基复合材料单向板黏弹性模型[J].华中科技大学学报(自然科学版),2015,43(01):30-33.ZHANG Xiao Yu,HUANG Qian Yu,CHEN Jian Zhong,et al.Viscoelastic model of unidirectional polymer matrix composites[J].Journal of Huazhong University of Science and Technology(Natural Science Edition),2015,43(01):30-33(In Chinese).
[11]王繁生.基于粘弹性材料标准固体模型的接触问题数值方法研究[J].机械科学与术,2015,34(01):65-68.WANG Fan Sheng.Contact problem based on viscoelastic solid model numerical methods[J].Mechanical Science and Operation,2015,34(01):65-68(In Chinese).
[12]陈洪月,王鑫,钟声,等.橡胶输送带迟滞特性分析与恢复力模型参数预测[J].煤炭学报,2015,40(12):2995-3001.CHEN Hong Yue,WANG Xin,ZHONG Sheng,et al.Hysteresis characteristic analysis of rubber conveyor belt and parameter prediction of restoring force model[J].Journal of China Coal Society,2015,40(12):2995-3001(In Chinese).
[13]魏振华,侯红伟,宋兴元.带式输送机三元件固体模型启动过程动态分析[J].煤矿机电,2015,36(1):53-57.WEI Zhen Hua,HOU Hong Wei,SONG Xing Yuan.Three-element solid model to start the process of belt conveyor dynamic analysis[J].Coal Mine Mechanical and Electrical,2015,36(1):53-57(In Chinese).
[14]杜永峰,赵丽洁,李万润.基础隔震结构橡胶支座时变非线性特性识别[J].振动、测试与诊断,2016,36(1):86-93.DU Yong Feng,ZHAO Li Jie,Li WanRun.Rubber bearing for timevarying nonlinear characteristic identification of base-isolated structure[J].Vibration Test and Diagnosis,2016,36(1):86-93(In Chinese).
[15]TJ Rudolphi,AV Reicks.Reicks.Viscoelastic indentation and resistance to motion of conveyor belts using a generalized Maxwell model of the backing material[J].Rubber Chem.Technol,2006,79(2):307-319.
[16]Rudolphi T J.Applied rubber belt cover loss pre-diction from indentation[J].Bulk material handling by conveyor belts,M.Alspaugh,ed.,SME,Littleton,CO,2008:25-34.
[17]Bajda M,Krol R.Experimental Tests of Selected Constituents of Movement Resistance of the Belt Conveyors Used in the Underground Mining[J].World Multidisciplinary Earth Sciences Symposium,2015(15):702-711.
[18]Chen Y,Xue H.Model and dynamic simulation of belt conveyor[C],Intelligent System Design and Engineering Application(ISDEA),2010(1):949-951.
[19]Johnson A R,Chen T K.Approximating thermo-viscoelastic heating of largely strained solid rubber components[J].Comput Methods Appl Mech Engrge,2005,194(2-5):313-325.
[20]张义同.热粘弹性理论[M].天津:天津大学出版社,2002:1-15.ZHANG Yi Tong.Theory of Thermo-viscoelastity[M].Tianjin:Tianjin University Press,2012:1-15(In Chinese).