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| 基于半解析有限元的各向异性管道纵向导波传播特性分析 |
| ANALYSIS OF LONGITUDINAL GUIDED WAVES PROPAGATION CHARACTERISTICS IN ANISOTROPIC PIPELINES BASED ON SEMI-ANALYTICAL FINITE ELEMENT METHOD |
| 投稿时间：2025-02-11 修订日期：2025-03-04 |
| DOI： |
| 中文关键词: 半解析有限元法 各向异性材料 径厚比 纵向导波 频散曲线 |
| 英文关键词:semi-analytical finite element method composite materials outer radius to thickness ratio longitudinal guided waves dispersion curves |
| 基金项目:国家重点研发计划项目子任务(2022YFC3005002) |
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| 中文摘要: |
| 基于半解析有限元法,推导了正交各向异性材料中纵向导波的特征方程,并对特征方程进行了数值求解。首先,为确定方法的正确性及适用性,利用Disperse导波频散曲线计算软件求解了各向同性管道中的导波频散曲线,并将基于半解析有限元法的求解结果与其进行对比,二者结果完全一致。然后,讨论了半解析有限元计算过程中管道截面单元数量对导波频散曲线计算结果的影响,并分析了产生影响的原因。最后,求解了正斜方晶体复合材料管道中导波的相速度频散曲线。并分析了材料铺层方向及径厚比的变化对频散曲线的影响,二者均对低频模态频散特性产生了有规律的影响,在径厚比足够大时,同材料同厚度管道与板中的频散曲线结果趋于一致。 |
| 英文摘要: |
| Based on the semi-analytical finite element method, the characteristic equation for guided waves in orthotropic materials is derived, and the characteristic equation is solved numerically. Firstly, to determine the correctness and applicability of the method, the dispersion curves of guided waves in an isotropic hollow cylinder are calculated using Disperse wave dispersion software. The results obtained from the semi-analytical finite element method are compared with those from Disperse, and the two results are found to be in complete agreement. Then, the influence of the number of pipeline section elements on the calculation of the guided wave dispersion curves is discussed, and the reasons for this influence are analyzed. Finally, the phase velocity dispersion curves of guided waves in a composite material pipeline made of orthorhombic crystals are solved. The effects of the material layup direction and the radius-to-thickness ratio on the dispersion curves are analyzed. Both factors exhibit a systematic influence on the dispersion characteristics of the low-frequency modes. When the radius-to-thickness ratio is sufficiently large, the dispersion curves for pipes and plates of the same material and thickness tend to converge. |
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