基于分层模型的复合材料耦合Lamb波频率-波数域特性研究

Research on Frequency-Wavenumber Domain Characteristics of Coupled Lamb Waves in Composite Laminates Based on Layered Model

中文关键词:  Legendre正交多项式  复合材料  Lamb波  有限元  频散

英文关键词:Legendre orthogonal polynomials  composite laminate  Lamb wave  finite element  dispersion

中文摘要:

      针对复合材料层合板中耦合Lamb波的传播问题，基于分层模型提出解析建模与有限元数值模拟相结合的方法对其进行预测和评估。利用Legendre正交多项式展开法推导多层各向异性复合材料层合板中耦合Lamb波的控制方程，并对频率-波数域频散特性曲线实现数值求解。基于平面壳单元构建复合材料层合板的有限元模型，采用波结构加载法生成单一Lamb波基本模态，设计复合材料层合板的不同纤维取向、边界和界面约束条件，并经二维傅里叶变换获得有限元模拟数据的频率-波数域频散特性曲线。通过对比验证，结果表明两种方法均有较好的吻合性。

英文摘要:

      A combination of analytical modeling and finite element numerical simulation is proposed to predict and evaluate the propagation of coupled Lamb waves in composite laminates based on a hierarchical model.The governing equations of coupled Lamb waves in multilayer anisotropic composite laminates are derived using Legendre orthogonal polynomial expansion method,and the frequency-wavenumber domain dispersion characteristic curves are solved numerically.A finite element model of the composite laminate is constructed based on planar shell element,and the wave structure loading method is adopted to generate a pure Lamb wave fundamental mode.Various fiber orientations and boundary with interface constraints are designed for the composite laminates,and the frequency-wavenumber domain dispersion characteristic curves of the finite element simulation data are obtained by two-dimensional Fourier transform and compared with the analytical solution for validation.The results indicate that the two methods are in good agreement with each other.