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基于谱有限元法和模态展开法,针对各向异性薄板,建立激光激发Lamb波的数值模型,得到各向异性薄板中Lamb波沿不同方向传播的色散曲线及Lamb波的传播特性。数值模拟结果表明,谱有限元法能快速有效地计算各向异性板中导波的相速度、群速度,结合模态展开法能够得到任何方向激光激发的Lamb波;Lamb波沿不同方向传播的速度及色散特性与材料的各向异性性质相关。数值模拟为更好地理解复杂介质中导波的传播、指导激励信号的选择及识别检测信号的模态提供了理论依据。
Based on the spectral finite element method and modal expansion method, the numerical model of Lamb wave excited by laser is established for the anisotropic thin plate. The dispersion curves and Lamb wave propagation characteristics of Lamb waves in different directions are obtained. The numerical simulation results show that the spectral finite element method can quickly and effectively calculate the phase velocity and group velocity of the guided wave in the anisotropic plate, and can be obtained by combining the modal expansion method with the Lamb wave excited in any direction. The Lamb wave propagates in different directions Velocity and dispersion properties are related to the anisotropy of the material. Numerical simulation provides a theoretical basis for better understanding the propagation of guided waves in complex media, guiding the selection of excitation signals and identifying the modalities of the detected signals.