复合材料纤维张力缠绕预应力场动态特性
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摘要
复合材料纤维张力缠绕技术通过提高纤维的张力水平可充分发挥纤维高强、高模优势,在成型过程中对结构进行预紧,成为解决高速转动部件径向变形大、界面强度低等问题新的有效途径。将每一层纤维的张力缠绕等效为一个含预应力复合材料薄环的叠加,基于正交各向异性复合材料缠绕层和各向同性金属芯模弹性变形理论,建立了纤维张力缠绕力学解析模型,得到芯模和缠绕层预应力场随缠绕层数及缠绕张力的变化规律,并通过复合材料纤维张力工艺试验验证了力学解析模型的正确性。研究发现了纤维张力缠绕中预应力"饱和"现象,并确定了影响张力缠绕预应力场的两个主要参数:缠绕层环径向刚度比E_θ/E_r和张力大小T(r),为复合材料纤维张力缠绕成型工艺提供理论支撑。
The Filament winding with tension(force winding)can be used for superimposing a compressive radial stress field onto the tensile field caused by high-speed rotation to prevent radial delamination and unmatched deformation.The fiber winding process is assumed as continuous superposition of pre-tensioned composite thin rings,and the mechanical model of force filament winding is proposed on the basis of anisotropic composite elastic theory and isotropic thick-walled cylinder elastic theory.The radial and circumferential stresses of winding layers and the deformations of mandrel with winding layer number were obtained.The mechanical analytical model was verified by the test.The stress saturation is found in the high tension filament winding by the test and also proved by the analytical solutions.The two relevant key parameters for stress distribution in the force winding,the ratio of hoop stiffness to radial stiffness E_θ/E_r and the fiber tension T(r)are identified and discussed.The present and analysis approaches are critical to the successful design,analysis and implementation of filament force winding.
The Filament winding with tension(force winding)can be used for superimposing a compressive radial stress field onto the tensile field caused by high-speed rotation to prevent radial delamination and unmatched deformation.The fiber winding process is assumed as continuous superposition of pre-tensioned composite thin rings,and the mechanical model of force filament winding is proposed on the basis of anisotropic composite elastic theory and isotropic thick-walled cylinder elastic theory.The radial and circumferential stresses of winding layers and the deformations of mandrel with winding layer number were obtained.The mechanical analytical model was verified by the test.The stress saturation is found in the high tension filament winding by the test and also proved by the analytical solutions.The two relevant key parameters for stress distribution in the force winding,the ratio of hoop stiffness to radial stiffness E_θ/E_r and the fiber tension T(r)are identified and discussed.The present and analysis approaches are critical to the successful design,analysis and implementation of filament force winding.
引文
[1]LEE S Y,SPRINGER G S.Filament winding cylindersⅠ:Process model[J].Journal of Composite Materials,l990,24(12):1270-1298.
[2]CALIUS E P,LEE S Y,SPRINGER G S.Filament winding cylinders:Ⅱvalidation of the process model[J].Journal of Composite Materials,l990,24(12):1299-1343
[3]LEE S Y,SPRINGER G S.Filament winding cylindersⅢ:Selection of the process variables[J].Journal of Composite Materials,l990,24(12):1244-1366
[4]CAI Z,GUTOWSKI T G.Winding and consolidation analysis for cylindrical composite structures[J].Journal of Composite Materials,1992,26(9):1374-1399.
[5]GUTOWSKI T G,DILLON G.The elastic deformation of lubricated carbon fiber bundles:Comparison of theory and experiments[J].Journal of Composite Materials,1992,26(12):2330-2347.
[6]CAI Z,GUTOWSKI T G.The 3Ddeformation behavior of a lubricated fiber bundle[J].Journal of Composite Materials,1992,26(8):1207-1237.
[7]ZHAO L,MANTELL S C,COHEN D,et al.Finite element modeling of the filament winding process[J].Composite Structure,2001,52(3):499-510
[8]COHEN D,MANTELL S C,ZHAO L.The effect of fiber volume fraction on filament wound composite pressure vessel strength[J].Composites Part B:Engineering,2001,32(5):413-429
[9]BANERJEE A,SUN L,MANTELL S C,et al.Model and experimental study of fiber motion in wet filament winding[J].Composites Part A:Applied Science and Manufacturing,1998,29(3):251-263
[10]KEMPNER E A,HAHN H T.Effect of radial stress relaxation on fiber stress in filament winding of thick composites[J].Composites Manufacturing,1995,6(2):67-77
[11]邢静忠,李家惠,陈利,等.刚性圆柱上环向缠绕张力的分析与设计[J].纺织学报,2011,32(8):122-127.XING J Z,LI J H,CHEN L,et al.Analysis and design of winding tension for hoop winding on rigid cylinder[J].Journal of Textile Research,2011,32(8):122-127(in Chinese).
[12]邢静忠,梁清波,刘成旭,等.圆柱形厚壁缠绕件的环向缠绕张力分析的逐层叠加法[J].固体火箭技术,2015,38(2):261-272.XING J Z,LIANG Q B,LIU C X,et al.Analysis of winding tension for hoop winding on deformable thick-walled cylinder with superposition by layers[J].Journal of Solid Rocket Technology,2015,38(2):261-272(in Chinese).
[13]秦勇,夏源明,毛天祥.纤维束张紧力缠绕复合材料飞轮的预应力简化分析[J].复合材料学报,2003,20(6):87-91.QIN Y,XIA Y M,MAO T X.Simplified initial stress analysis of composite flywheel in tension winding[J].Acta Materiae Compositae Sinica,2003,20(6):87-91(in Chinese).
[14]李奕良,戴兴建,张小章.复合材料环向缠绕飞轮轮体工艺应力研究[J].机械强度,2010,32(2):265-269.LI Y L,DAI X J,ZHANG X Z.Research on process stress for circumferential wound composite flywheel rotors[J].Journal of Mechanical Strength,2010,32(2):265-269(in Chinese).
[15]刘成旭,邢静忠,陈利,等.柔性厚壁筒环向缠绕张力分析与设计[J].固体火箭技术,2013,36(2):261-265.LIU C X,XING J Z,CHEN L,et al.Analysis of residual winding tension and design of winding tension for hoop winding on flexible cylinder[J].Journal of Solid Rocket Technology,2013,36(2):261-265(in Chinese).
[16]康超,史耀耀,何晓东,等.具有厚壁内衬圆筒的缠绕张力算法[J].工程力学,2016,32(2):200-208.KANG C,SHI Y Y,HE X D,et al.Algorithm of winding tension for cylinder with thick-walled liner[J].Engineering Mechanics,2016,32(2):200-208(in Chinese).
[17]张军,史耀耀,康超,等.基于温度及柔芯模变形作用的复合材料缠绕张力设计[J].固体火箭技术,2015,38(4):573-579.ZHANG J,SHI Y Y,KANG C,et al.Composite winding tension design based on the influence of temperature and mandrel deformation[J].Journal of Solid Rocket Technology,2015,38(4):573-579(in Chinese).
[18]吴德会,张忠远.厚壁复合材料管纤维缠绕张力的神经网络设计方法[J].复合材料学报,2012,29(8):195-203.WU D H,ZHANG Z Y.Approach to design tension of filament winding for thick composite pipes using a neural network[J].Acta Materiae Compositae Sinica,2012,29(8):195-203(in Chinese).
[19]任明法,郑长良,陈浩然.具有内衬的缠绕容器缠绕层等张力设计的迭代搜索[J].复合材料学报,2004,21(5):153-158.REN M F,ZHENG C L,CHEN H R.Iterative search for the isotension design of the band wound vessels with liner[J].Acta Materiae Compositae Sinica,2004,21(5):153-158(in Chinese).
[20]COHEN D.Influence of filament winding parameters on composite vessel quality and strength[J].Composites Part A:Applied Science and Manufacturing,1997,28(12):1035-1037.
[2]CALIUS E P,LEE S Y,SPRINGER G S.Filament winding cylinders:Ⅱvalidation of the process model[J].Journal of Composite Materials,l990,24(12):1299-1343
[3]LEE S Y,SPRINGER G S.Filament winding cylindersⅢ:Selection of the process variables[J].Journal of Composite Materials,l990,24(12):1244-1366
[4]CAI Z,GUTOWSKI T G.Winding and consolidation analysis for cylindrical composite structures[J].Journal of Composite Materials,1992,26(9):1374-1399.
[5]GUTOWSKI T G,DILLON G.The elastic deformation of lubricated carbon fiber bundles:Comparison of theory and experiments[J].Journal of Composite Materials,1992,26(12):2330-2347.
[6]CAI Z,GUTOWSKI T G.The 3Ddeformation behavior of a lubricated fiber bundle[J].Journal of Composite Materials,1992,26(8):1207-1237.
[7]ZHAO L,MANTELL S C,COHEN D,et al.Finite element modeling of the filament winding process[J].Composite Structure,2001,52(3):499-510
[8]COHEN D,MANTELL S C,ZHAO L.The effect of fiber volume fraction on filament wound composite pressure vessel strength[J].Composites Part B:Engineering,2001,32(5):413-429
[9]BANERJEE A,SUN L,MANTELL S C,et al.Model and experimental study of fiber motion in wet filament winding[J].Composites Part A:Applied Science and Manufacturing,1998,29(3):251-263
[10]KEMPNER E A,HAHN H T.Effect of radial stress relaxation on fiber stress in filament winding of thick composites[J].Composites Manufacturing,1995,6(2):67-77
[11]邢静忠,李家惠,陈利,等.刚性圆柱上环向缠绕张力的分析与设计[J].纺织学报,2011,32(8):122-127.XING J Z,LI J H,CHEN L,et al.Analysis and design of winding tension for hoop winding on rigid cylinder[J].Journal of Textile Research,2011,32(8):122-127(in Chinese).
[12]邢静忠,梁清波,刘成旭,等.圆柱形厚壁缠绕件的环向缠绕张力分析的逐层叠加法[J].固体火箭技术,2015,38(2):261-272.XING J Z,LIANG Q B,LIU C X,et al.Analysis of winding tension for hoop winding on deformable thick-walled cylinder with superposition by layers[J].Journal of Solid Rocket Technology,2015,38(2):261-272(in Chinese).
[13]秦勇,夏源明,毛天祥.纤维束张紧力缠绕复合材料飞轮的预应力简化分析[J].复合材料学报,2003,20(6):87-91.QIN Y,XIA Y M,MAO T X.Simplified initial stress analysis of composite flywheel in tension winding[J].Acta Materiae Compositae Sinica,2003,20(6):87-91(in Chinese).
[14]李奕良,戴兴建,张小章.复合材料环向缠绕飞轮轮体工艺应力研究[J].机械强度,2010,32(2):265-269.LI Y L,DAI X J,ZHANG X Z.Research on process stress for circumferential wound composite flywheel rotors[J].Journal of Mechanical Strength,2010,32(2):265-269(in Chinese).
[15]刘成旭,邢静忠,陈利,等.柔性厚壁筒环向缠绕张力分析与设计[J].固体火箭技术,2013,36(2):261-265.LIU C X,XING J Z,CHEN L,et al.Analysis of residual winding tension and design of winding tension for hoop winding on flexible cylinder[J].Journal of Solid Rocket Technology,2013,36(2):261-265(in Chinese).
[16]康超,史耀耀,何晓东,等.具有厚壁内衬圆筒的缠绕张力算法[J].工程力学,2016,32(2):200-208.KANG C,SHI Y Y,HE X D,et al.Algorithm of winding tension for cylinder with thick-walled liner[J].Engineering Mechanics,2016,32(2):200-208(in Chinese).
[17]张军,史耀耀,康超,等.基于温度及柔芯模变形作用的复合材料缠绕张力设计[J].固体火箭技术,2015,38(4):573-579.ZHANG J,SHI Y Y,KANG C,et al.Composite winding tension design based on the influence of temperature and mandrel deformation[J].Journal of Solid Rocket Technology,2015,38(4):573-579(in Chinese).
[18]吴德会,张忠远.厚壁复合材料管纤维缠绕张力的神经网络设计方法[J].复合材料学报,2012,29(8):195-203.WU D H,ZHANG Z Y.Approach to design tension of filament winding for thick composite pipes using a neural network[J].Acta Materiae Compositae Sinica,2012,29(8):195-203(in Chinese).
[19]任明法,郑长良,陈浩然.具有内衬的缠绕容器缠绕层等张力设计的迭代搜索[J].复合材料学报,2004,21(5):153-158.REN M F,ZHENG C L,CHEN H R.Iterative search for the isotension design of the band wound vessels with liner[J].Acta Materiae Compositae Sinica,2004,21(5):153-158(in Chinese).
[20]COHEN D.Influence of filament winding parameters on composite vessel quality and strength[J].Composites Part A:Applied Science and Manufacturing,1997,28(12):1035-1037.