We consider the stationary state of a spin-orbit coupled (SOC) binary Bose-Einstein condensates with dipole-dipole interaction (DDI). Our results are obtained by numerically solving the Gross-Pitaevskii equation. It shows that the vortex structures is greatly affected by the polarization angle and SOC strength. For full repulsive interaction and small SOC strength, the spatial symmetry is well kept. Meanwhile, the dual-ring vortex chain is found at large SOC strength. For anisotropic DDI, we find that the spatial symmetry is broken when the SOC strength is very small. Nevertheless, the annular vortex chain also occurs with the increasing of SOC strength. At last, we analyze the variation of vortex number in quantitative terms, showing that the polarization angle has an important effect on vortex number.

我们考虑具有偶极-偶极相互作用（DDI）的自旋轨道耦合（SOC）二元Bose-Einstein凝聚物的稳态。我们的结果是通过数值求解Gross-Pitaevskii方程获得的。结果表明，涡旋结构受极化角和SOC强度的影响很大。对于充分的排斥相互作用和较小的SOC强度，要保持良好的空间对称性。同时，发现双环涡旋链具有较大的SOC强度。对于各向异性DDI，我们发现当SOC强度非常小时，空间对称性就会破坏。然而，随着SOC强度的增加，环形涡流链也会出现。最后，我们定量地分析了涡旋数的变化，表明偏振角对涡旋数有重要影响。