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各向异性介质波动问题的时域边界元法及实验验证

TIME DOMAIN BEM FOR WAVE PROPAGATION PROBLEMS IN ANISOTROPIC MEDIA AND ITS EXPERIMENTAL VERIFICATIONS

  • 摘要: 对前已建立的各向异性介质波动问题的时域边界元计算模型进行了实验验证.用单向纤维增强光弹性复合材料模拟正交异性介质,用冲击加载,加载方向与纤维方向分别成0°,90°及45°角度,进行了正交异性动态光弹性实验及动态应变测量,并同时对该模型进行了时城边界元计算.将时域边界元方法计算出的应力分量代入正交异性动态光弹性的动态应力-光性定律,得到双折射条纹级数随时间的变化曲线,将其与动态光弹性实验的结果进行比较;此外,由动态电测获得的应变响应曲线推算出应力时程;与时城边界元计算出的应为响应曲线也进行了比较.两种情况下,时域边界元的计算成果均与实验成果吻合较好,从而证明该各向异性介质波动问题的时域边界元计算模型具有较好的精度及稳定性,可用于各向异性介质的动态问题特别是波传播问题的分析研究.

     

    Abstract: Attributed primarily to the reduction of dimensionality of problems, high accuracyof results and automatic consideration of the radiation conditions at infinity, Boundary ElementMethod (BEM)has become increasingly popular for the solution of linear elastodynamic problems.Time domain Boundary Element Method for wave propagation problems in anisotropic media iseffectively applicable in the research fields of earthquake engineering, rock dynamics and compositedynamics. Due to the complexity of time domain fund...

     

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