考虑强结合界面的磁流变弹性体力学性能分析
|
摘要
磁流变弹性体是将铁磁性颗粒填充到非磁性的聚合物基体中,通过固化作用形成的柱状或链状结构。目前,研究磁流变弹性体的力学模型主要是磁偶极子模型以及修正的磁偶极子模型。这些模型考虑了颗粒之间的相互作用,但尚未涉及颗粒和基体之间的相互作用。本文在考虑颗粒和基体相互作用的基础上,基于剪滞法理论计算出强结合界面磁流变弹性体模量和阻尼特性。通过实验制备硅橡胶基的磁流变弹性体,并在应变幅值较小时测试其剪切储能模量和阻尼因子,详细分析不同的应变幅值和磁场强度对磁流变弹性体性能的影响。理论结果与实验结果相符,验证了本文关于强结合界面性能分析的正确性。
Magnetorheological elastomer(MRE)is a columnar or chain structure,which is formed by filling ferromagnetic particles into nonmagnetic polymer matrix and then through curing action.At present,the mechanical model used for study magnetorheological elastomer is mainly magnetic dipole model and modified magnetic dipole model.These models take into account the interaction between particles,but the interaction between particles and matrix has not yet been considered.In this paper,taking into account the interaction between particles and matrix,based on shear-lag method,the elastic modulus and damping characteristics of magnetorheological elastomer with strong bonding interface are calculated. Magnetorheological elastomer based on silicon rubber was prepared in laboratory,and under the condition of small strain amplitude,the shear modulus of energy storage and damping factor were measured,the strain amplitude and the effect of magnetic field strength on magnetorheological elastomers property were detailed analyzed.The theoretical results are in good agreement with the experimental ones,which verifies the correctness of strong bonding interface performance analysis.
Magnetorheological elastomer(MRE)is a columnar or chain structure,which is formed by filling ferromagnetic particles into nonmagnetic polymer matrix and then through curing action.At present,the mechanical model used for study magnetorheological elastomer is mainly magnetic dipole model and modified magnetic dipole model.These models take into account the interaction between particles,but the interaction between particles and matrix has not yet been considered.In this paper,taking into account the interaction between particles and matrix,based on shear-lag method,the elastic modulus and damping characteristics of magnetorheological elastomer with strong bonding interface are calculated. Magnetorheological elastomer based on silicon rubber was prepared in laboratory,and under the condition of small strain amplitude,the shear modulus of energy storage and damping factor were measured,the strain amplitude and the effect of magnetic field strength on magnetorheological elastomers property were detailed analyzed.The theoretical results are in good agreement with the experimental ones,which verifies the correctness of strong bonding interface performance analysis.
引文
[1]邓华夏,龚兴龙,张培强.磁流变弹性体调频吸振器的研制[J].功能材料,2006,37(5):790-792(DENG Huaxia,GONG Xinglong,ZHANG Peiqiang.Tuned vibration absorber based on magnetorheological elastomer[J].Journal of Functional Materials,2006,37(5):790-792(in Chinese))
[2]Wang X,Gordaninejad F.A tunable“negative”stiffness system for vibration control[J].Proceedings of SPIEThe International Society for Optical Engineering,2012:8341.
[3]Ladipo I L,Fadly J D,Faris W F.Characterization of magnetorheological elastomer(MRE)engine mounts[J].Materials Today Proceedings,2016,3(2):411-418.
[4]Vaezi M,Kruger H,Yang S.3Dprinting of magnetorheological elastomers(MREs)smart materials[M]∥3D Printing of Magnetorheological Elastomers(MREs)Smart Materials,2014:213-218.
[5]Jolly M R,Carlson J D,Mu1oz B C,et al.The magnetoviscoelastic response of elastomer composites consisting of ferrous particles embedded in a polymer matrix[J].Journal of Intelligent Material Systems&Structures,1996,7(6):613-622.
[6]Leng D,Sun L,Sun J,et al.Derivation of stiffness matrix in constitutive modeling of magnetorheological elastomer[J].Journal of Physics Conference Series,2013,412(1):2028.
[7]朱应顺,龚兴龙,张培强.柱状和层状结构磁流变弹性体剪切模量的数值计算[J].功能材料,2006,37(5):720-722(ZHU Yingshun,GONG Xinglong,ZHANG Peiqiang.Numerical calculation on shear modulus of magnetorheological elastomers with columnar or layered structures[J].Journal of Functional Materials,2006,37(5):720-722(in Chinese))
[8]朱俊涛,徐赵东,张香成.磁流变弹性体主链吸附模型[J].东南大学学报(自然科学版),2011,41(2):342-346(ZHU Juntao,XU ZHAOdong,ZHANG Xiangcheng.Main chain adsorption model of magnetorheological elastomer[J].Journal of Southeast University(Natural Science Edition),2011,41(2):342-346(in Chinese))
[9]高伟,王省哲.具有倾斜链结构的磁流变弹性体的磁致剪切模量模型与分析[J].中国科技论文,2015,10(4):433-437(GAO Wei,WANG Xingzhe.Model and analysis on magnetic field-induced shear modulus of magnetorheological elastomer with tilted chain[J].China Sciencepaper,2015,10(4):433-437(in Chinese))
[10]Chen W,Sun L,Li X,et al.Numerical investigation on the magnetostrictive effect of magneto-sensitive elastomers based on a magneto-structural coupling algorithm[J].Smart Materials&Structures,2013,22(10):105012.
[11]Shen Y,Golnaraghi M F,Heppler G R.Experimental research and modeling of magnetorheological elastomers[J].Journal of Intelligent Material Systems&Structures,2004,15(1):27-35.
[12]Dorfmann A,Ogden R W.Magnetoelastic modelling of elastomers[J].European Journal of Mechanics-A/Solids,2003,22(4):497-507.
[13]Chen L,Gong X L.Damping of magnetorheological elastomers[J].Journal of Central South University,2008,15(1):581-585.
[14]Yang J,Gong X L,Deng H X,et al.Investigation on the mechanism of damping behavior of magnetorheological elastomers[J].Smart Materials&Structures,2012,21(21):125015.
[15]Norouzi M,Alehashem S M S,Vatandoost H,et al.A new approach for modeling of magnetorheological elastomers[J].Journal of Intelligent Material Systems&Structures,2015,27(8):1121-1135.
[16]Sun S S,Yang J,Li W H,et al.Development of an isolator working with magnetorheological elastomers and fluids[J].Mechanical Systems&Signal Processing,2016,83:371-384.
[17]Rosen B W.Mechanics of composite strengthening in fiber composite materials[M].Metals Park,Ohio:ASM Publication,1965:37-86.
[18]杜善义,王彪.复合材料细观力学[M].科学出版社,1998(DU Shanyi,WANG Biao.Mesoscopic mechanics of composite materials[M].Science Press,1998(in Chinese))
[19]Eshelby J D.The continuum theory of lattice defects[J].Solid State Physics,1956,3:79-144.
[20]Vantomme J.A parametric study of material damping in fibre-reinforced plastics[J].Composites,1995,26(2):147-153.
[21]He L H.Transient stress relaxation around spherical inclusions by interfacial diffusion and sliding[J].Acta Mechanica,2001,149(1):115-133.
[2]Wang X,Gordaninejad F.A tunable“negative”stiffness system for vibration control[J].Proceedings of SPIEThe International Society for Optical Engineering,2012:8341.
[3]Ladipo I L,Fadly J D,Faris W F.Characterization of magnetorheological elastomer(MRE)engine mounts[J].Materials Today Proceedings,2016,3(2):411-418.
[4]Vaezi M,Kruger H,Yang S.3Dprinting of magnetorheological elastomers(MREs)smart materials[M]∥3D Printing of Magnetorheological Elastomers(MREs)Smart Materials,2014:213-218.
[5]Jolly M R,Carlson J D,Mu1oz B C,et al.The magnetoviscoelastic response of elastomer composites consisting of ferrous particles embedded in a polymer matrix[J].Journal of Intelligent Material Systems&Structures,1996,7(6):613-622.
[6]Leng D,Sun L,Sun J,et al.Derivation of stiffness matrix in constitutive modeling of magnetorheological elastomer[J].Journal of Physics Conference Series,2013,412(1):2028.
[7]朱应顺,龚兴龙,张培强.柱状和层状结构磁流变弹性体剪切模量的数值计算[J].功能材料,2006,37(5):720-722(ZHU Yingshun,GONG Xinglong,ZHANG Peiqiang.Numerical calculation on shear modulus of magnetorheological elastomers with columnar or layered structures[J].Journal of Functional Materials,2006,37(5):720-722(in Chinese))
[8]朱俊涛,徐赵东,张香成.磁流变弹性体主链吸附模型[J].东南大学学报(自然科学版),2011,41(2):342-346(ZHU Juntao,XU ZHAOdong,ZHANG Xiangcheng.Main chain adsorption model of magnetorheological elastomer[J].Journal of Southeast University(Natural Science Edition),2011,41(2):342-346(in Chinese))
[9]高伟,王省哲.具有倾斜链结构的磁流变弹性体的磁致剪切模量模型与分析[J].中国科技论文,2015,10(4):433-437(GAO Wei,WANG Xingzhe.Model and analysis on magnetic field-induced shear modulus of magnetorheological elastomer with tilted chain[J].China Sciencepaper,2015,10(4):433-437(in Chinese))
[10]Chen W,Sun L,Li X,et al.Numerical investigation on the magnetostrictive effect of magneto-sensitive elastomers based on a magneto-structural coupling algorithm[J].Smart Materials&Structures,2013,22(10):105012.
[11]Shen Y,Golnaraghi M F,Heppler G R.Experimental research and modeling of magnetorheological elastomers[J].Journal of Intelligent Material Systems&Structures,2004,15(1):27-35.
[12]Dorfmann A,Ogden R W.Magnetoelastic modelling of elastomers[J].European Journal of Mechanics-A/Solids,2003,22(4):497-507.
[13]Chen L,Gong X L.Damping of magnetorheological elastomers[J].Journal of Central South University,2008,15(1):581-585.
[14]Yang J,Gong X L,Deng H X,et al.Investigation on the mechanism of damping behavior of magnetorheological elastomers[J].Smart Materials&Structures,2012,21(21):125015.
[15]Norouzi M,Alehashem S M S,Vatandoost H,et al.A new approach for modeling of magnetorheological elastomers[J].Journal of Intelligent Material Systems&Structures,2015,27(8):1121-1135.
[16]Sun S S,Yang J,Li W H,et al.Development of an isolator working with magnetorheological elastomers and fluids[J].Mechanical Systems&Signal Processing,2016,83:371-384.
[17]Rosen B W.Mechanics of composite strengthening in fiber composite materials[M].Metals Park,Ohio:ASM Publication,1965:37-86.
[18]杜善义,王彪.复合材料细观力学[M].科学出版社,1998(DU Shanyi,WANG Biao.Mesoscopic mechanics of composite materials[M].Science Press,1998(in Chinese))
[19]Eshelby J D.The continuum theory of lattice defects[J].Solid State Physics,1956,3:79-144.
[20]Vantomme J.A parametric study of material damping in fibre-reinforced plastics[J].Composites,1995,26(2):147-153.
[21]He L H.Transient stress relaxation around spherical inclusions by interfacial diffusion and sliding[J].Acta Mechanica,2001,149(1):115-133.