We present a semi-analytical method for computing the reflection and transmission coefficients at joints connecting an arbitrary number of semi-infinite orthotropic plates based on the line-junction approximation. We use a wave approach and describe reflection, transmission and mode conversion between eigenmodes of the vibro-acoustic equations for orthotropic plates. A detailed derivation is presented here for the first time for an arbitrary number of plates meeting at the junction and without restrictions on the orientation of the principal material axes both with respect to the junction and with respect to the orientation in different plates. The approach is discussed for two specific example configurations, namely an L- and a T-shaped orthotropic plate junction. Furthermore, the scattering coefficients for a rib-stiffened orthotropic plate are derived, and the occurrence of resonance phenomena is discussed.

我们提出了一种基于线结近似计算连接任意数量的半无限正交各向异性板的节点处的反射和透射系数的半解析方法。我们使用波浪方法并描述了正交各向异性板振动声学方程本征模式之间的反射，透射和模式转换。此处首次详细介绍了任意数量的在交界处相遇的板，并且对主材料轴相对于交点和相对于不同板中的方向都没有限制。针对两个特定的示例配置（即L形和T形的正交各向异性板结）讨论了该方法。此外，