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| 纤维含量对轴向导波频散特征影响的数值分析 |
| Numerical analysis of the influence of fiber content on the dispersion characteristics of axial guided waves |
| 投稿时间：2025-04-24 修订日期：2025-06-18 |
| 中文摘要: |
| 为了检查纤维树脂复合材料管件结构完整性，基于线性三维弹性理论，采用Legendre正交多项式方法在本构方程中添加径向矩形窗函数自动满足应力自由边界条件，推导了横观各向同性圆管中的轴向导波波动方程，首先应用各向同性圆管材料参数进行了计算，运算结果与商业软件Disperse输出的相速度频散曲线进行了比对，验证了该方法的稳健性。结合细观力学理论，分析了横观各向同性圆管中典型弹性常数随纤维体积含量从0%增加到100%的变化趋势。纤维含量为17%的L(0,2)模态最小相速度为1245m/s，纤维含量21%的T(0,1)模态最小的相速度是1227.27m/s，发现弹性常数C66较其他参数更大程度影响着纵向模态L(0,2)的频散特征；在纤维含量较低的区间，C44对扭转模态T(0,1)影响较大；同时，纤维含量高，频散现象严重。研究结果有助于对机器人复合材料管件结构进行结构强度评估和无损探伤。 |
| 英文摘要: |
| In order to check the structural integrity of fiber resin composite pipe, based on linear three-dimensional elastic theory, Legendre orthogonal polynomial method was adopted to constitute equation and automatically satisfy the stress-free boundary condition with radial rectangular window function. The axial guided wave equation in transversely isotropic pipe was derived. Firstly, the material parameters of isotropic pipe were calculated in the equation, and the results were compared with the phase velocity dispersion curve from the commercial software Disperse, which verified the robustness of the orthogonal polynomial approach method. According to the theory of micromechanics, the variation trend of typical elastic constants in transversely isotropic pipes with the increasing of fiber volume content from 0% to 100% was analyzed. The minimum phase velocity of the L (0,2) mode with fiber content of 17% is 1245m/s, and the minimum phase velocity of the T (0,1) mode with fiber content of 21% is 1227.27m/s. It was found that the elastic constant C66 and C13 has a greater impact on the dispersion characteristics of the longitudinal mode than other parameters; In the low fiber content range, C44 and C13 has a significant impact on the torsional mode. Meanwhile, the higher of the fiber volume fraction, the dispersion phenomenon is severer. The research results are helpful for structural strength assessment and non-destructive testing of robot composite pipe structures. |
| DOI： |
| 中文关键词: 轴向导波 纤维体积含量 正交多项式 |
| 英文关键词: Axial guided wave Fiber volume fraction Orthogonal polynomial approach |
| 基金项目:北京联合大学“启明星”大学生科技创新项目经费资助(20051037) |
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