基于多边形夹杂的复合材料力学与声学性质研究
发布时间：2018-07-27 20:38
【摘要】：现如今复合材料已成为四大材料之一,其优良的综合特性和广泛的应用前景越来越受到人们的重视,尤其是材料性能的可设计性,吸引着广大学者进行了大量的研究。本文基于有限元法研究了多边形夹杂复合材料的力学和声学性能。全文主要内容如下:第一章对复合材料的发展和应用做了概述,介绍了复合材料力学和声学性能方面的研究现状。第二章先是介绍了对复合材料的基本理论,随后详细介绍了多边形夹杂复合材料的力学性能微观计算模型,以及声子晶体的相关理论和计算模型。第三章对多边形夹杂复合材料的力学性能进行了研究,首先研究了(I)=10时六边形纤维旋转角度对复合材料的影响,比较了体积比10%和50%两种情况。紧接着研究了(I)=100时六边形纤维旋转角度对复合材料的影响,仍然比较了体积比10%和50%两种情况,最后对六边形纤维随机分布进行了研究。结果表明:当纤维体积比较小时,六边形纤维的旋转角度对复合材料整体的力学性能没有明显影响,表现完美的各向同性,而体积比较大时,力学性能表现出明显的各向异性行为,各项力学参数关于30°角对称。纤维随机分布时发现无论是纤维统一旋转角还是随机旋转角,和纤维单一分布时相比都表现出更强的各向异性。无论纤维是单一分布还是若干个随机分布,随着纤维弹性模量的增大各向异性行为更加显著,复合材料的等效弹性模量和剪切模量增加而泊松比下降。此外,无论是六边形还是圆形纤维,单元体内纤维数目对复合材料的等效弹性性能有重大影响。第四章对多边形夹杂复合材料的声学性能进行了研究,选择六边形和圆形作为对象,分别计算了空心散射体和实体散射体声子晶体的能带结构,研究了两种散射体不同体积比(10%和30%)、单一散射体和组合散射体、以及组合散射体的间距对其声学性能的影响。结果表明:对于单一多边形空心散射体不存在完全带隙,组合多边形空心散射体在大体积比30%时存在完全带隙,且六边形的带隙宽度略大于圆的带隙宽度。对于单一多边形实体散射体在两种体积比下均存在完全带隙,随着体积比的增大带隙显著变宽。空心散射体组合随着间距的增大模型的能带结构频率范围、带隙所在频率、带隙宽度都随着增大;实体情况下间距小的模型能带结构频率范围、带隙所在频率、带隙宽度反而更大。第五章对本文所做工作进行了总结,并对今后的研究工作进行了展望。
[Abstract]:Nowadays, composite materials have become one of the four major materials, its excellent comprehensive properties and wide application prospects have attracted more and more attention, especially the designability of material properties, which has attracted a large number of scholars to do a lot of research. In this paper, the mechanical and acoustic properties of polygonal inclusion composites are studied based on finite element method. The main contents of this paper are as follows: in the first chapter, the development and application of composites are summarized, and the research status of mechanical and acoustic properties of composites is introduced. In the second chapter, the basic theory of composite material is introduced, and then the microcosmic calculation model of polygonal inclusion composite is introduced in detail, as well as the related theory and calculation model of phonon crystal. In the third chapter, the mechanical properties of polygonal inclusion composites are studied. Firstly, the influence of rotation angle of hexagonal fiber (I) = 10 on the composite is studied, and the volume ratio of 10% and 50% is compared. Then the influence of hexagonal fiber rotation angle on the composite material was studied when (I) = 100, and the volume ratio of 10% and 50% was compared. Finally, the random distribution of hexagon fiber was studied. The results show that when the fiber volume is small, the rotation angle of hexagonal fiber has no obvious effect on the mechanical properties of the composite, and it shows perfect isotropy, but when the volume is relatively large, The mechanical properties show obvious anisotropic behavior, and the mechanical parameters are symmetrical about 30 掳angle. It is found that both the unified rotation angle and the random rotation angle of the fiber are more anisotropic than those of the single fiber distribution. Regardless of whether the fiber is a single distribution or a number of random distributions, the anisotropic behavior of the composites is more obvious with the increase of the elastic modulus of the fiber. The equivalent elastic modulus and shear modulus of the composites increase while the Poisson's ratio decreases. In addition, the number of fibers in the unit has a significant effect on the equivalent elastic properties of the composite, whether hexagonal or circular. In chapter 4, the acoustic properties of polygonal inclusion composites are studied. The energy band structures of hollow scatterers and solid scatterers are calculated by selecting hexagonal and circular as objects. The effects of different volume ratios of two scatterers (10% and 30%), single and combined scatterers, and the spacing of combined scatterers on their acoustic properties are studied. The results show that there is no complete band gap for a single polygon hollow scatterer, and the combined polygon hollow scatterer has a complete band gap at the mass ratio of 30, and the band gap width of the hexagonal is slightly larger than the band gap width of the circle. For a single polygonal solid scatterer, there is a complete band gap under both volume ratios, and the band gap widens with the increase of the volume ratio. The band structure frequency range, the band gap frequency and the band gap width of the model increase with the increase of the distance between the hollowed scatterers, and the frequency range of the energy band structure and the frequency of the band gap in the model with small spacing in the solid case, and the frequency of the band gap in the model increase with the increase of the spacing. The bandgap width is larger. The fifth chapter summarizes the work done in this paper and looks forward to the future research work.
【学位授予单位】：河南工业大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TB33
本文编号：2149074
[Abstract]:Nowadays, composite materials have become one of the four major materials, its excellent comprehensive properties and wide application prospects have attracted more and more attention, especially the designability of material properties, which has attracted a large number of scholars to do a lot of research. In this paper, the mechanical and acoustic properties of polygonal inclusion composites are studied based on finite element method. The main contents of this paper are as follows: in the first chapter, the development and application of composites are summarized, and the research status of mechanical and acoustic properties of composites is introduced. In the second chapter, the basic theory of composite material is introduced, and then the microcosmic calculation model of polygonal inclusion composite is introduced in detail, as well as the related theory and calculation model of phonon crystal. In the third chapter, the mechanical properties of polygonal inclusion composites are studied. Firstly, the influence of rotation angle of hexagonal fiber (I) = 10 on the composite is studied, and the volume ratio of 10% and 50% is compared. Then the influence of hexagonal fiber rotation angle on the composite material was studied when (I) = 100, and the volume ratio of 10% and 50% was compared. Finally, the random distribution of hexagon fiber was studied. The results show that when the fiber volume is small, the rotation angle of hexagonal fiber has no obvious effect on the mechanical properties of the composite, and it shows perfect isotropy, but when the volume is relatively large, The mechanical properties show obvious anisotropic behavior, and the mechanical parameters are symmetrical about 30 掳angle. It is found that both the unified rotation angle and the random rotation angle of the fiber are more anisotropic than those of the single fiber distribution. Regardless of whether the fiber is a single distribution or a number of random distributions, the anisotropic behavior of the composites is more obvious with the increase of the elastic modulus of the fiber. The equivalent elastic modulus and shear modulus of the composites increase while the Poisson's ratio decreases. In addition, the number of fibers in the unit has a significant effect on the equivalent elastic properties of the composite, whether hexagonal or circular. In chapter 4, the acoustic properties of polygonal inclusion composites are studied. The energy band structures of hollow scatterers and solid scatterers are calculated by selecting hexagonal and circular as objects. The effects of different volume ratios of two scatterers (10% and 30%), single and combined scatterers, and the spacing of combined scatterers on their acoustic properties are studied. The results show that there is no complete band gap for a single polygon hollow scatterer, and the combined polygon hollow scatterer has a complete band gap at the mass ratio of 30, and the band gap width of the hexagonal is slightly larger than the band gap width of the circle. For a single polygonal solid scatterer, there is a complete band gap under both volume ratios, and the band gap widens with the increase of the volume ratio. The band structure frequency range, the band gap frequency and the band gap width of the model increase with the increase of the distance between the hollowed scatterers, and the frequency range of the energy band structure and the frequency of the band gap in the model with small spacing in the solid case, and the frequency of the band gap in the model increase with the increase of the spacing. The bandgap width is larger. The fifth chapter summarizes the work done in this paper and looks forward to the future research work.
【学位授予单位】：河南工业大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TB33
【参考文献】
相关期刊论文 前2条
1 王婷;王辉;盛美萍;秦庆华;;Complete low-frequency bandgap in a two-dimensional phononic crystal with spindle-shaped inclusions[J];Chinese Physics B;2016年04期
2 邓开发,是度芳,蒋美萍,李承芳;光子晶体研究进展[J];量子电子学报;2004年05期
，本文编号：2149074
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