In the study, we confer with the effect of the circular cylinder for various flow fields, and investigate the phenomenon of the vortex shedding and fluid elastic instabilities. First, in the aspect of the vortex shedding, we observe the wake behind the cylinder after varying the locations of orifices on the cylinder and the forms of momentum addition, and the variation of the lift and drag coefficient can be obtained by using the commercial software STAR-CD. In the further study, we make the type of flow field to be a shear flow and build the database of the aerodynamic coefficients in different shear parameter and Reynolds numbers; furthermore, the database is an important basis for us to conjecture the surface force on the cylinder, and analyze the size of oscillations and the orbit that is caused by the shear parameter, mass ratio and damping factor respectively.