湿热环境下含分层平面编织玻璃纤维/环氧树脂基复合材料层合板振动特性
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摘要
通过理论推导与有限元仿真,研究了湿热环境下一端固支与四端固支约束含分层平面编织玻璃纤维/环氧树脂基复合材料层合板的不同分层夹角及分层位置的振动特性。首先基于Mindlin一阶剪切变形理论与Hamilton原理,考虑湿热应力和质量效应,依据湿度与温度的等效性,推导了受湿热环境影响的含分层层合板的湿热本构方程与固有频率表达式。利用有限元软件ABAQUS自带的用户材料子程序(UMAT)接口,编制相应的接口程序,建立了一系列温湿度组合下的分层损伤模型。并将数值结果与文献中试验值进行了验证。算例结果表明:湿热效应下,分层加剧了湿热环境下平面编织层合板各阶固有频率的下降;不同的分层夹角会引起固有频率值的改变,夹角越大固有频率下降幅值越大;湿度对分层层合板振动特性的影响比温度对分层层合板振动特性的影响显著;湿热效应会引起高阶频率向低阶的漂移,加剧局部共振现象;表面分层与中面分层都会引起各阶固有频率值下降,但下降幅值两者之间差别不大。
Through theoretical derived and finite element simulation,the vibration characteristic of delaminated plain woven fabric glass fiber/epoxy composite laminate with four sides clamped and one side clamped under hygrothermal environment were studied.This paper studies the relationship between delamination angle,delamination location and vibration characteristic.Based on the first order shearing deformation theory of Mindlin and Hamilton principle,the formula of hygrothermal constitutive equation and the natural frequency of laminated plates was derived,considering the hygrothermal stress,mass effect and the equivalence between moisture and temperature.Using user material subroutine(UMAT)interface with the finite element software ABAQUS,the corresponding interface program was compiled and a series of delaminated model under hygrothermal environment were established.It is found that the simulation results are in good agreement with literature experimental value.Results show that delamination makes vibration frequency decrease intensify under hygrothermal environment.Increasing delamination angle can cause the decline of frequency value,and the larger delamination angle,the larger decline frequency.The influence of moisture is more serious than that of temperature on vibration characteristic.The hygrothermal effect can cause the order of the base frequency decline and intensify the local resonance phenomenon.Surface delamination and middle delamination can cause modal change,but there is little difference.
Through theoretical derived and finite element simulation,the vibration characteristic of delaminated plain woven fabric glass fiber/epoxy composite laminate with four sides clamped and one side clamped under hygrothermal environment were studied.This paper studies the relationship between delamination angle,delamination location and vibration characteristic.Based on the first order shearing deformation theory of Mindlin and Hamilton principle,the formula of hygrothermal constitutive equation and the natural frequency of laminated plates was derived,considering the hygrothermal stress,mass effect and the equivalence between moisture and temperature.Using user material subroutine(UMAT)interface with the finite element software ABAQUS,the corresponding interface program was compiled and a series of delaminated model under hygrothermal environment were established.It is found that the simulation results are in good agreement with literature experimental value.Results show that delamination makes vibration frequency decrease intensify under hygrothermal environment.Increasing delamination angle can cause the decline of frequency value,and the larger delamination angle,the larger decline frequency.The influence of moisture is more serious than that of temperature on vibration characteristic.The hygrothermal effect can cause the order of the base frequency decline and intensify the local resonance phenomenon.Surface delamination and middle delamination can cause modal change,but there is little difference.
引文
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[6]TENEK LT.Some explicit beam,plate and s-hell finite elements[J].International Review of Civil Engineering,2014,5(3):326-342.
[7]BHATTACHARYYA K,SINHA P K.Finite element dynamic analysis of laminated composite plates with delaminations[J].Journal of Reinforced Plastics and Composites,2000,19(11):863-882.
[8]SARANGAN S,SINGH B N.Evaluation of free vibration and bending analysis of laminated com-posite and sandwich plates using non-polynomialzigzag models:C0Finite element formulation[J].Aerospace Science and Technology,2017,68(7):496-508.
[9]冯振宇,李顶河,徐建新.含多个分层损伤复合材料层合板的自振特性研究[J].复合材料学报.2009,26(4):186-190.FENG Zhenyu,LI Dinghe,XU Jianxin.Study on the self-vibration characteristic of composite laminated composite laminated composites with multiple layers of damage[J].Acta Materiae Compositae Sinica,2009,26(4):186-190(in Chinese).
[10]冯国旭,王军,程小全.穿孔损伤大小和方向对复合材料桨叶振动特性的影响[J].复合材料学报.2011,28(1):151-155.FENG Guoxu,WANG Jun,CHENG Xiaoquan.Effects of perforation damage size and direction on vibration characteristic of composite blades[J].Acta Materiae Compositae Sinica,2011,28(1):151-155(in Chinese).
[11]TAUCHERT T R.Thermally induced flexure,buckling and vibration of plates[J].Applied Mechanics Reviews,1991,44(8):347-360.
[12]Biswal M,Sahu S K.Experimental and nu-merical studies on free vibration of laminated composite shallow shells in hygrothermal enviro-nment[J].Composite Structures,2015,127(1):165-174.
[13]BISWAL M,SAHU S K.Vibration of compo-site cylindrical shallow shells subjected to hygro-thermal loading-experimental and numerical resul-ts[J].Composites Part B,2016,98(1):108-119.
[14]JEYARAJ P,GANESAN N,PADMANABHANC.Vibration and acoustic response of a composite plate with inherent material damping in a thermal environment[J].Journal of Sound and Vibration.2009,32(1):322-338.
[15]LI Wei,LI Yueming.Vibration and sound radiation of annsymmetric laminated plate in the-rmal environments[J].Acta Mechanica Solida Sinica,2015,28(1):11-21.
[16]LIM T K,KIM J H.Thermo-elastic effects on shear correction factors for functionally graded beam[J].Composites Part B,2017,123(1):262-270.
[17]PANDA H S,SAHU S K,PARHI P K.Hygrot-hermal Effects on free vibration of delaminated woven fiber composite[J].Composite Structures,2013,96(1):502-513.
[18]SHANKAR G,KUMAR S K,MAHATO P K.Vibration analysis and control of smart composite plates with delamination under hygrothermal envir-onment[J]. Thin-Walled Structures,2017,116(1):53-68.
[19]马艳龙,李映辉.湿热环境下复合材料薄壁梁振动特性研究[J].振动与冲击.2016,35(15):154-183.MA Yanlong,LI Yinghui.Dynamic characteristics of compos-ite thin-walled beams under hygrothermal enviro-nment[J].Journal of Vibration and Shocket,2016,35(15):154-183.
[20]赵天,杨志春.湿热环境复材层合板振动与声辐射特性分析[J].航空学报,2017,35(24):144-154.ZHAO Tian,YANG Zhichun.Analysis of vibrat-ion and acoustic radiation characteristic of comp-osite laminated plates in hygrothermal environment[J].Acta Aeronautica et Astronautica Sinica,2017,35(24):144-154(in Chinese).
[21]程起有,童小燕,姚磊江.低速冲击下复合材料层合板分层损伤的数值模拟[J].机械强度.2009,31(2):321-324.CHENG Qiyou,TONG Xiaoyan,YAO Leijiang.Numerical simulation of laminated damage of composite under low-speed impact[J].Mechanical strength,2009,31(2):321-324(in Chinese).
[22]LI X,LI Y H,QIN Y.Free vibration char-acteristic of a spinning composite thin-walled beam under hygrothermal environment[J].International Journal of Mechanical Sciences,2016,119(1):253-265.
[23]XU S,CHEN P H.Prediction of low velo-city impact damage in carbon/epoxy laminate[J].Procedia Engineering,2013(67):489-496.
[24]韩坤华.复合材料胶接修理的湿-热-力耦合瞬时响应分析方法[D].上海:上海交通大学,2013.HAN Kunhua.Method of instantaneous response-analysis of wet-thermal-force coupling for com-posite adhesive repair[D].Shanghai:Shanghai Jiaotong University,2013(in Chinese).
[2]佟刚,赵林楠.基于ABAQUS的编织纤维层合板结构分析[J].工业技术,2014,24(12):87-89.TONG Gang,ZHAO Linnan.Based on ABAQU-S woven fiber laminate structure analysis[J].In-dustrial technology,2014,24(12):87-89(in Chinese).
[3]金平,复合材料的湿热力耦合响应及损伤研究[D].哈尔滨:哈尔滨工业大学,2011.JIN Ping.Research on hygro-thermo-stress coupling response and damage of composites[D].Harbin:Harbin Institute of Technology,2011(in Chinese).
[4]梅亮.热环境下层合板振动特性及优化分析[D].南昌:南昌航空大学,2016.MEI Liang.Vibration characteristic and optimiza-tion of the composite plate in thermal environm-ent[D].NanChang:NanChang Aviation University,2016(in Chinese).
[5]冯青,李敏,顾轶卓.不同湿热条件下碳纤维/环氧复合材料湿热性能实验研究[J].复合材料学报,2010,27(6):16-20.FENG Qing,LI Min,GU Yizhuo.Experimental study on thermal properties of carbon fiber/epoxy composite materials under different hot and hu-mid conditions[J].Acta Materiae Compositae Sinica,2010,27(6):16-20(in Chinese).
[6]TENEK LT.Some explicit beam,plate and s-hell finite elements[J].International Review of Civil Engineering,2014,5(3):326-342.
[7]BHATTACHARYYA K,SINHA P K.Finite element dynamic analysis of laminated composite plates with delaminations[J].Journal of Reinforced Plastics and Composites,2000,19(11):863-882.
[8]SARANGAN S,SINGH B N.Evaluation of free vibration and bending analysis of laminated com-posite and sandwich plates using non-polynomialzigzag models:C0Finite element formulation[J].Aerospace Science and Technology,2017,68(7):496-508.
[9]冯振宇,李顶河,徐建新.含多个分层损伤复合材料层合板的自振特性研究[J].复合材料学报.2009,26(4):186-190.FENG Zhenyu,LI Dinghe,XU Jianxin.Study on the self-vibration characteristic of composite laminated composite laminated composites with multiple layers of damage[J].Acta Materiae Compositae Sinica,2009,26(4):186-190(in Chinese).
[10]冯国旭,王军,程小全.穿孔损伤大小和方向对复合材料桨叶振动特性的影响[J].复合材料学报.2011,28(1):151-155.FENG Guoxu,WANG Jun,CHENG Xiaoquan.Effects of perforation damage size and direction on vibration characteristic of composite blades[J].Acta Materiae Compositae Sinica,2011,28(1):151-155(in Chinese).
[11]TAUCHERT T R.Thermally induced flexure,buckling and vibration of plates[J].Applied Mechanics Reviews,1991,44(8):347-360.
[12]Biswal M,Sahu S K.Experimental and nu-merical studies on free vibration of laminated composite shallow shells in hygrothermal enviro-nment[J].Composite Structures,2015,127(1):165-174.
[13]BISWAL M,SAHU S K.Vibration of compo-site cylindrical shallow shells subjected to hygro-thermal loading-experimental and numerical resul-ts[J].Composites Part B,2016,98(1):108-119.
[14]JEYARAJ P,GANESAN N,PADMANABHANC.Vibration and acoustic response of a composite plate with inherent material damping in a thermal environment[J].Journal of Sound and Vibration.2009,32(1):322-338.
[15]LI Wei,LI Yueming.Vibration and sound radiation of annsymmetric laminated plate in the-rmal environments[J].Acta Mechanica Solida Sinica,2015,28(1):11-21.
[16]LIM T K,KIM J H.Thermo-elastic effects on shear correction factors for functionally graded beam[J].Composites Part B,2017,123(1):262-270.
[17]PANDA H S,SAHU S K,PARHI P K.Hygrot-hermal Effects on free vibration of delaminated woven fiber composite[J].Composite Structures,2013,96(1):502-513.
[18]SHANKAR G,KUMAR S K,MAHATO P K.Vibration analysis and control of smart composite plates with delamination under hygrothermal envir-onment[J]. Thin-Walled Structures,2017,116(1):53-68.
[19]马艳龙,李映辉.湿热环境下复合材料薄壁梁振动特性研究[J].振动与冲击.2016,35(15):154-183.MA Yanlong,LI Yinghui.Dynamic characteristics of compos-ite thin-walled beams under hygrothermal enviro-nment[J].Journal of Vibration and Shocket,2016,35(15):154-183.
[20]赵天,杨志春.湿热环境复材层合板振动与声辐射特性分析[J].航空学报,2017,35(24):144-154.ZHAO Tian,YANG Zhichun.Analysis of vibrat-ion and acoustic radiation characteristic of comp-osite laminated plates in hygrothermal environment[J].Acta Aeronautica et Astronautica Sinica,2017,35(24):144-154(in Chinese).
[21]程起有,童小燕,姚磊江.低速冲击下复合材料层合板分层损伤的数值模拟[J].机械强度.2009,31(2):321-324.CHENG Qiyou,TONG Xiaoyan,YAO Leijiang.Numerical simulation of laminated damage of composite under low-speed impact[J].Mechanical strength,2009,31(2):321-324(in Chinese).
[22]LI X,LI Y H,QIN Y.Free vibration char-acteristic of a spinning composite thin-walled beam under hygrothermal environment[J].International Journal of Mechanical Sciences,2016,119(1):253-265.
[23]XU S,CHEN P H.Prediction of low velo-city impact damage in carbon/epoxy laminate[J].Procedia Engineering,2013(67):489-496.
[24]韩坤华.复合材料胶接修理的湿-热-力耦合瞬时响应分析方法[D].上海:上海交通大学,2013.HAN Kunhua.Method of instantaneous response-analysis of wet-thermal-force coupling for com-posite adhesive repair[D].Shanghai:Shanghai Jiaotong University,2013(in Chinese).
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