论文标题
用于计算羔羊波的群和能量速度的新型算法
Novel algorithm for the computation of group and energy velocities of Lamb waves
论文作者
论文摘要
通过将广义还原方法与双重数相结合，提出了针对二次特征问题问题的新解决方案策略以及特征值的衍生物。为了证明该方法，我们使用半分析有限元方法（SAFE）中遇到的二次特征值问题作为指导示例。该安全方法旨在计算（Visco）弹性正型培养基中羔羊波相，群和能量速度的光谱。发现新方法基本上使计算速度和效率增加了一倍，而无需牺牲准确性。
A new solution strategy for quadratic eigenvalue problems, and the derivatives of the eigenvalues, is proposed, by combining the generalized reduction method with dual numbers. To demonstrate the method, we use the quadratic eigenvalue problem encountered in the semi-analytical finite element method (SAFE) as a guiding example. The SAFE method is designed to calculate the spectrum of Lamb wave phase, group and energy velocities in (visco)elastic orthotropic media, over a wide frequency range. It was found that the new approach essentially doubles the computational speed and efficiency, without sacrificing accuracy.
