The mesoscopic multi-velocity component lattice Boltzmann fluid-structure interaction model, combined with the large eddy simulation (LES) method, was proposed in order to investigate the in-flow shock and flow-induced vibration characteristics during static mixing. The aim is to explore the static mixing process, including characteristics such as strong shear, backflow recoil, wall impact, and other factors. Taking static mixer as the research object, the model of static mixing process was established, and the weak coupling solution strategy of flow field and structure field was proposed. The proposed method was used to study the effects of different displacement deformations, different inlet velocities and different static mixer blade angles on the vibration response of the tube wall. Results show that blade action can convert the axial velocity of the fluid into tangential and radial velocity. When the inlet velocity is relatively large, the internal flow field has obvious influence on the vibration frequency and amplitude of the static mixer. Changing the mixer blade angle will affect the shear drainage effect of the flow field, and has significant effects on the longitudinal and axial displacement, mainly in the low frequency band.