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兰姆波频散方程的分析及数值迭代算法 被引量:5

The Numerical Solution of Lamb Frequency Dispersion Equation
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摘要 根据兰姆波运动规律的时间简谐波因子与频散曲线的物理特性,用数值迭代法在实数域内求解频散方程。给出了铝板中兰姆波相速度和群速度的解。研究表明:该法可较易获得频散曲线,无需方程分段求解,具一定的参考价值。 According to the time factor of description for Lamb movement rule and the physical character of lamb frequency dispersion curve,the frequency dispersion equation was solved in real number field by numerical iterative method in this paper.The curves of phase velocity and group velocity of the aluminum plate were given out.The results showed that the lamb frequency dispersion curve could be acquired by this method without sectional solution.The method was valuable in engineering.
出处 《上海航天》 北大核心 2008年第5期42-44,共3页 Aerospace Shanghai
关键词 兰姆波 频散曲线 相速度 群速度 Lamb Frequency dispersion curves Phase velocity Group velocity
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  • 1[美]阿肯巴赫著,徐植信,洪锦如译.弹性固体中波的传播[M].上海:同济大学出版社,1992.
  • 2Mindlin RD. Waves and vibrations in isotropic elastic plates. in: Structural Mechanics [M]. Goodier JN, Hoff NJ, eds. New York: Pergamon Press, 1960.
  • 3刘镇清.无损检测中的超声兰姆波[J].无损检测,1999,21(9):409-413. 被引量:44

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