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Coupling the league two axis due to the manufacturing error, assembly error, installation error, axial loading and produce and deformation, deformation of base, bearing wear and temperature changes, the relative motion between the parts a variety of factors, resulting in relative displacement. In general, two axes relative displacement is unavoidable, but under different working conditions of ecological balance from the shaft drive displacement direction, namely the displacement of the Angle to the axial, radial and size are different. Only the flexible coupling can compensate the relative displacement of the two shafts, so a large number of flexible couplings are selected in practical applications. The rigid coupling is not limited to compensatory application scope, so the dosage is very low. The axial displacement of the angular displacement is suitable for the universal coupling. The axial transmission of axial displacement is necessary, and the diaphragm coupling should be selected. Rigid coupling is used only if the accuracy is high.