tailieunhanh - Magnetic Bearings Theory and Applications Part 8

Tham khảo tài liệu 'magnetic bearings theory and applications part 8', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Passive permanent magnet bearings for rotating shaft Analytical calculation 91 Geometry The device geometry is shown on . The radii remain the same as previously defined. Both ring magnets have the same axial dimension the height h1 h-2 h. The axial coordinate z characterizes the axial displacement of the inner ring with regard to the outer one. The polarization of the magnets is equal to 1T. The initial set of dimensions for each study is the following T1 25mm Ĩ2 28mm T3 21mm T4 24mm h 3mm Thus the initial air gap is 1mm wide and the ring magnets have an initial square cross section of 3 X 3mm2. Air gap influence The ring cross section is kept constant and the radial dimension of the air gap T1 T3 is varied by modifying the radii of the inner ring. and 4 show how the axial force and stiffness are modified when the axial inner ring position changes for different values of the air gap. Naturally when the air gap decreases the modulus of the axial force for a given axial position of the inner ring increases except for large displacements and so does the modulus of the axial stiffness. Furthermore it has to be noted that a positive stiffness corresponds to a stable configuration in which the force is a pull-back one whereas a negative stiffness corresponds to an unstable position the inner ring gets ejected z mm Fig. 3. Axial force for several air gap radial dimensions. Blue T1 25mm T2 28mm T3 21mm T4 24mm h 3mm Air gap 1mm Green Air gap Red Air gap Ring height influence The air gap is kept constant as well as the ring radii and the height of the rings is varied. and 6 show how the axial force and stiffness are modified. When the magnet height decreases the modulus of the axial force for a given axial position of the inner ring decreases. This is normal as the magnet volume also decreases. The study of the stiffness is carried out for decreasing ring heights but also for increasing ones . As a result the .

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